Stability, Control and Fault Diagnosis of Switched Linear Parameter Varying Systems: A Survey

Yanzheng Zhu; Junxing Che; Fen Wu; Xinkai Chen; Wei Xing Zheng; Donghua Zhou

doi:10.1109/JAS.2025.125282

IEEE/CAA Journal of Automatica Sinica

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Y. Zhu, J. Che, F. Wu, X. Chen, W. Zheng, and D. Zhou, “Stability, control and fault diagnosis of switched linear parameter varying systems: A survey,” IEEE/CAA J. Autom. Sinica, 2025. doi: 10.1109/JAS.2025.125282

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Y. Zhu, J. Che, F. Wu, X. Chen, W. Zheng, and D. Zhou, “Stability, control and fault diagnosis of switched linear parameter varying systems: A survey,” IEEE/CAA J. Autom. Sinica, 2025. doi: 10.1109/JAS.2025.125282

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Stability, Control and Fault Diagnosis of Switched Linear Parameter Varying Systems: A Survey

doi: 10.1109/JAS.2025.125282

Funds: This work was supported in part by the National Natural Science Foundation of China (62222310, 61973131, 62473379), the National Key Research and Develepment Program of China (2024YFB3310701), the Research Fund for the Taishan Scholar Project of Shandong Province of China, the Major Basic Research of Natural Science Foundation of Shandong Province (ZR2024ZD38, ZR2022ZD34), and the Japan Society for the Promotion of Science (21K04129)

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Author Bio:
Yanzheng Zhu (Senior Member, IEEE) received the Ph.D. degree in control science and engineering from the Harbin Institute of Technology in January 2016. From 2013 to 2015, he was a joint Ph.D. student with the Department of Electrical and Computer Engineering, Ohio State University, Columbus, USA. From 2016 to 2018, he was a Postdoctoral Researcher with the College of Electrical Engineering and Automation, Shandong University of Science and Technology. From 2017 to 2019, he was a Research Fellow with the School of Computing, Engineering and Mathematics, Western Sydney University, Sydney, Australia. From 2019 to 2022, he was a Full Professor with the College of Mechanical Engineering and Automation, Huaqiao University. He is currently a Full Professor with the College of Electrical Engineering and Automation, Shandong University of Science and Technology. His research interests include nondeterministic switched systems, fault diagnosis and tolerant control, and their applications. Prof. Zhu is also an Associate Editor for IEEE Control Systems Letters, Journal of the Franklin Institute, and was a Guest Editor of European Journal of Control

Junxing Che received the M.S. degree from Shandong University of Science and Technology in 2022. He is currently pursuing the Ph.D. degree with the College of Electrical Engineering and Automation, Shandong University of Science and Technology. His research interests include fault diagnosis, fault-tolerant control, switched LPV systems, and permanent magnet synchronous motors

Fen Wu (Senior Member, IEEE) received the B.S. and M.S. degrees in automatic control from Beijing University of Aeronautics and Astronautics in 1985 and 1988, respectively, and the Ph.D. degree in mechanical engineering from the University of California at Berkeley, USA, in 1995. From 1995 to 1997, he was a Research Associate with the Centre for Process Systems Engineering, Imperial College of Science, Technology and Medicine, U.K. He was a Staff Engineer with Dynacs Engineering Company Inc., USA, from 1997 to 1999. He is currently a Professor with the Department of Mechanical and Aerospace Engineering, North Carolina State University, USA. He has authored over 200 conference papers and journal articles. His current research interests include linear parameter-varying and switching control of nonlinear systems, robust control subject to physical constraints, nonlinear control using sum-of-square programming, distributed control of multiagent systems, and the application of advanced control and optimization techniques to aerospace, mechanical, and chemical engineering problems. He is a fellow of ASME. He was an Associate Editor of IEEE Transactions on Cybernetics, the Journal of Dynamic Systems, Measurement and Control (ASME), the IEEE Transactions on Automatic Control, and the Automatica. He is currently serving as Associate Editor for International Journal of Mechanical Systems Dynamics

Xinkai Chen (Fellow, IEEE) received the Ph.D. degree in engineering from Nagoya University, Japan, in 1999. He is currently a Professor with the Department of Electronic and Information Systems, Shibaura Institute of Technology, Japan. His research interests include adaptive control, smart materials, hysteresis, sliding mode control, machine vision, and observer, Dr. Chen was an Associate Editor for several journals, including IEEE Transactions on Automatic Control, IEEE Transactions on Control Systems Technology, IEEE Transactions on Industrial Electronics, IEEE/ASME Transactions on Mechatronics, European Journal of Control, etc. He also severed international conferences as organizing committee Member, including General Chairs, Program Chairs, General Co-Chairs, Program Co-Chairs, etc. He is a Member of the Engineering Academy of Japan

Wei Xing Zheng (Fellow, IEEE) received the B.Sc. degree in applied mathematics, the M.Sc. degree in control theory and applications and the Ph.D. degree in control theory and applications from Southeast University in 1982, 1984, and 1989, respectively. Over the years, he has held various faculty/research/visiting positions at several universities in China, UK, Australia, Germany, USA, etc. He is currently a University Distinguished Professor with Western Sydney University, Australia. He has served as a Senior Editor for IEEE Transactions on Control of Network Systems. He has also served as an Associate Editor for Automatica, IEEE Transactions on Automatic Control and several other flagship journals. He has been an IEEE Distinguished Lecturer of IEEE Control Systems Society. He is a Fellow of IEEE

Donghua Zhou (Fellow, IEEE) received the B.Eng., M.Sci., and Doctoral degrees in electrical engineering from Shanghai Jiao Tong University in 1985, 1988, and 1990, respectively. He was an Alexander von Humboldt Research Fellow with the University of Duisburg, Duisburg, Germany, from 1995 to 1996, and a Visiting Scholar with Yale University, USA, from 2001 to 2002. He was with Tsinghua University in 1996, and was promoted as a Full Professor in 1997. He was the Head of the Department of Automation, Tsinghua University from 2008 and 2015. He was the Vice President of the Shandong University of Science and Technology from 2015 to 2023. He has authored and co-authored over 230 peer-reviewed international journal papers and nine monographs in the areas of fault diagnosis, fault-tolerant control, and operational safety evaluation. Dr. Zhou is a Fellow of IEEE, CAA and IET, a member of IFAC TC on SAFEPROCESS, an Associate Editor of Journal of Process Control, the Vice-Chairman of the Chinese Association of Automation (CAA), the TC Chair of the SAFEPROCESS Committee, CAA. He was also the NOC Chair of the 6th IFAC Symposium on SAFEPROCESS 2006
Corresponding author: Donghua Zhou, e-mail: zdh@mail.tsinghua.edu.cn
Received Date: 2024-02-27
Revised Date: 2024-08-13
Accepted Date: 2025-01-25

Available Online: 2025-06-19

Abstract

Abstract

Switched linear parameter varying (LPV) systems have, in recent years, inspired a great number of research endeavors owing to their excellent ability to approximate nonlinear systems and handle complex hybrid dynamics in system analysis and synthesis. Nevertheless, numerous difficulties and challenges are also encountered due to the reciprocal effects of switching signals and scheduling parameters in the analysis and synthesis of switched LPV systems. In this paper, the standard description and specific characteristics of switched LPV systems are first introduced. Then, the main methodologies are proposed in the literature to cope with stability and performance analysis, control synthesis, as well as fault diagnosis and fault-tolerant control issues, and the typical applications in various fields are surveyed. Finally, several key open problems and current research activities are also discussed to elucidate the potential research directions in the future.
- Control synthesis,
- fault diagnosis,
- Lyapunov method,
- stability,
- switching linear parameter varying (LPV) control,
- switched LPV systems

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References(107)

References

[1]	A. Solomon and E. Davison, “Control of unknown nonlinear system using gain-scheduling tuning regulators,” in 1986 American Control Conf., pp. 360–366, IEEE, 1986.
[2]	J. S. Shamma, Analysis and design of gain scheduled control systems. PhD thesis, Massachusetts Institute of Technology, 1988.
[3]	F. Wu, Control of linear parameter varying systems. University of California, Berkeley, 1995.
[4]	S. Lim, Analysis and control of linear-parameter-varying systems. Stanford University, 1999.
[5]	T. He, G. G. Zhu, S. S.-M. Swei, and W. Su, “Smooth switching LPV control for vibration suppression of a flexible airplane wing,” Aerospace Science and Technology, vol. 84, pp. 895–903, Jan. 2019. doi: 10.1016/j.ast.2018.11.029
[6]	T. J. Liu, X. Du, X. M. Sun, H. Richter, and F. Zhu, “Robust tracking control of aero-engine rotor speed based on switched LPV model,” Aerospace Science and Technology, vol. 91, pp. 382–390, Aug. 2019. doi: 10.1016/j.ast.2019.05.031
[7]	P. Li, X. Zhao, H. Qin, Z. Wang, and B. Niu, “Dynamic event-triggered finite-time H_∞ tracking control of switched LPV aero-engine models,” IEEE Trans. Circuits and Systems II: Express Briefs, vol. 69, pp. 1114–1118, Mar. 2022.
[8]	J. Cheng, M. Wu, F. Wu, C. Lu, X. Chen, and W. Cao, “Modeling and control of drill-string system with stick-slip vibrations using LPV technique,” IEEE Trans. Control Systems Technology, vol. 29, no. 2, pp. 718–730, 2020.
[9]	L. Zhang, L. Nie, B. Cai, S. Yuan, and D. Wang, “Switched linear parameter-varying modeling and tracking control for flexible hypersonic vehicle,” Aerospace Science and Technology, vol. 95, p. 105445, Dec. 2019. doi: 10.1016/j.ast.2019.105445
[10]	M. M. Seron and J. A. De Doná, “On robust stability and set invariance of switched linear parameter varying systems,” Int. Journal of Control, vol. 88, pp. 2588–2597, Dec. 2015. doi: 10.1080/00207179.2015.1051116
[11]	R. S. Sanchez-Pena and F. D. Bianchi, “Model selection: From LTI to switched-LPV,” in Proc. the 2012 American Control Conf. (ACC), (Montreal, QC), pp. 1561–1566, IEEE, June 2012.
[12]	P. H. Colmegna, R. S. Sanchez-Pena, R. Gondhalekar, E. Dassau, and F. J. Doyle, “Switched LPV glucose control in type 1 diabetes,” IEEE Trans. Biomedical Engineering, vol. 63, pp. 1192–1200, June. 2016. doi: 10.1109/TBME.2015.2487043
[13]	P. H. Colmegna, R. S. Sánchez-Peña, R. Gondhalekar, E. Dassau, and F. J. Doyle, “Reducing glucose variability due to meals and postprandial exercise in T1DM using switched LPV control: In silico studies,” Journal of Diabetes Science and Technology, vol. 10, pp. 744–753, May 2016. doi: 10.1177/1932296816638857
[14]	R. Robles, A. Sala, and M. Bernal, “Performance-oriented quasi-LPV modeling of nonlinear systems,” Int. Journal of Robust and Nonlinear Control, vol. 29, no. 5, pp. 1230–1248, 2019. doi: 10.1002/rnc.4444
[15]	A.-J. Pérez-Estrada, G.-L. Osorio-Gordillo, M. Darouach, M. Alma, and V.-H. Olivares-Peregrino, “Generalized dynamic observers for quasi-LPV systems with unmeasurable scheduling functions,” Int. Journal of Robust and Nonlinear Control, vol. 28, no. 17, pp. 5262–5278, 2018. doi: 10.1002/rnc.4309
[16]	D. Rotondo, V. Puig, F. Nejjari, and J. Romera, “A fault-hiding approach for the switching quasi-LPV fault tolerant control of a four-wheeled omnidirectional mobile robot,” IEEE Trans. Industrial Electronics, vol. 62, pp. 3932–3944, June. 2015.
[17]	H. Lin and P. J. Antsaklis, “Stability and stabilizability of switched linear systems: A short survey of recent results,” in Intelligent Control, 2005. Proc. the 2005 IEEE Int. Symposium on, Mediterrean Conf. on Control and Automation, 2005.
[18]	S. Prajna and A. Papachristodoulou, “Analysis of switched and hybrid systems-beyond piecewise quadratic methods,” in Proc. the 2003 American Control Conf., 2003., vol. 4, pp. 2779–2784, IEEE, 2003.
[19]	M. S. Branicky, “Multiple Lyapunov functions and other analysis tools for switched and hybrid systems,” IEEE Trans. Automatic Control, vol. 43, no. 4, pp. 475–482, 1998. doi: 10.1109/9.664150
[20]	S. Lim and K. Chan, “Analysis of hybrid linear parameter-varying systems,” in Proc. the 2003 American Control Conf., 2003., vol. 6, (Denver, CO, USA), pp. 4822–4827, IEEE, 2003.
[21]	B. Lu, F. Wu, and S. Kim, “Switching LPV control of an F-16 aircraft via controller state reset,” IEEE Trans. Control Systems Technology, vol. 14, pp. 267–277, Mar. 2006. doi: 10.1109/TCST.2005.863656
[22]	D. Liberzon and A. S. Morse, “Basic problems in stability and design of switched systems,” IEEE control systems magazine, vol. 19, no. 5, pp. 59–70, 1999. doi: 10.1109/37.793443
[23]	X. He, J. Zhao, and G. M. Dimirovski, “A blending method control of switched LPV systems with slow-varying parameters and its application to an F-16 aircraft model,” in Proc. the 30th Chinese Control Conf., pp. 1765–1770, IEEE, 2011.
[24]	T. He, G. G. Zhu, and S. S.-M. Swei, “Smooth switching LPV dynamic output-feedback control,” International Journal of Control, Automation and Systems, vol. 18, pp. 1367–1377, June. 2020. doi: 10.1007/s12555-019-0088-3
[25]	M. Hanifzadegan and R. Nagamune, “Smooth switching LPV controller design for LPV systems,” Automatica, vol. 50, pp. 1481–1488, May 2014. doi: 10.1016/j.automatica.2014.03.014
[26]	L. Jetto and V. Orsini, “A supervised switching control policy for LPV systems with inaccurate parameter knowledge,” IEEE Trans. Automatic Control, vol. 57, pp. 1527–1532, June. 2012. doi: 10.1109/TAC.2011.2174690
[27]	G. S. Deaecto, J. C. Geromel, and J. Daafouz, “Robust H₂ switched filter design for discrete-time polytopic linear parameter-varying sys-tems,” Signal Processing, vol. 97, pp. 91–99, Apr. 2014. doi: 10.1016/j.sigpro.2013.10.012
[28]	Y. Liu, J. Yang, and C. Li, “Robust finite-time stability and stabilisation for switched linear parameter-varying systems and its application to bank-to-turn missiles,” IET Control Theory & Applications, vol. 9, pp. 2171–2179, Sept. 2015.
[29]	J. Li and G. Yang, “Fault detection for switched linear parameter-varying systems: an average dwell-time approach,” IET Control Theory & Applications, vol. 7, pp. 1120–1130, May 2013.
[30]	D. Rotondo, V. Puig, and F. Nejjari, “A virtual actuator approach for fault tolerant control of switching LPV systems,” IFAC Proceedings Volumes, vol. 47, no. 3, pp. 11667–11672, 2014. doi: 10.3182/20140824-6-ZA-1003.00697
[31]	D. Yang, G. Zong, and J. Zhao, “H_∞ fault-tolerant control for switched linear parameter-varying systems: A parameter and state-dependent switching method with dwell time,” Proc. the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, vol. 233, pp. 18–30, 2019.
[32]	M. Postma and R. Nagamune, “Air-fuel ratio control of spark ignition engines using a switching LPV controller,” IEEE Trans. Control Systems Technology, vol. 20, pp. 1175–1187, Sept. 2012. doi: 10.1109/TCST.2011.2163937
[33]	S. Lim and J. How, “Modeling and H_∞ control for switched linear parameter-varying missile autopilot,” IEEE Trans. Control Systems Technology, vol. 11, pp. 830–838, Nov. 2003. doi: 10.1109/TCST.2003.815610
[34]	C. Yuan, Y. Liu, F. Wu, and C. Duan, “Hybrid switched gain-scheduling control for missile autopilot design,” Journal of Guidance, Control, and Dynamics, vol. 39, no. 10, pp. 2352–2363, 2016. doi: 10.2514/1.G001791
[35]	B. Lu, Linear parameter-varying control of an F-16 aircraft at high angle of attack. North Carolina State University, 2004.
[36]	D. Yang and J. Zhao, “Stabilization for switched LPV systems with Markovian jump parameters and its application,” Asian Journal of Control, vol. 19, pp. 11–21, Jan. 2017. doi: 10.1002/asjc.1337
[37]	J. Che, Y. Zhu, M. V. Basin, and D. Zhou, “Active fault-tolerant control for discrete-time Markov jump LPV systems via time-varying hidden markov model approach,” Int. Journal of Control, Automation and Systems, vol. 20, pp. 1785–1799, 2022. doi: 10.1007/s12555-021-0109-x
[38]	J. Caigny, J. Camino, R. Oliveira, P. Peres, and J. Swevers, “Gainscheduled dynamic output feedback control for discrete-time LPV systems,” Int. Journal of Robust Nonlinear Control, vol. 22, no. 5, pp. 535–558, 2012. doi: 10.1002/rnc.1711
[39]	X. He and J. Zhao, “Switching stabilization and H_∞ performance of a class of discrete switched LPV system with unstable subsystems,” Nonlinear Dynamics, vol. 76, pp. 1069–1077, Apr. 2014. doi: 10.1007/s11071-013-1190-3
[40]	C. E. de Souza, K. A. Barbosa, and A. T. Neto, “Robust H_∞ filtering for discrete-time linear systems with uncertain time-varying parameters,” IEEE Trans. Signal Processing, vol. 54, no. 6, pp. 2110–2118, 2006. doi: 10.1109/TSP.2006.874349
[41]	Y. Li, Q. Shi, and H. R. Karimi, “Robust l₁ fixed-order filtering for switched LPV systems with parameter-dependent delays,” Journal of the Franklin Institute, vol. 352, pp. 761–775, Mar. 2015. doi: 10.1016/j.jfranklin.2014.11.007
[42]	D. Yang, Y. Liu, and J. Zhao, “Guaranteed cost control for switched LPV systems via parameter and state-dependent switching with dwell time and its application,” Optimal Control Applications and Methods, vol. 38, pp. 601–617, July. 2017. doi: 10.1002/oca.2274
[43]	W. Xu, Y. Li, M. Lv, and B. Pei, “Modeling and switching adaptive control for nonlinear morphing aircraft considering actuator dynamics,” Aerospace Science and Technology, vol. 122, p. 107349, 2022. doi: 10.1016/j.ast.2022.107349
[44]	C. Yuan and F. Wu, “Robust switching output-feedback control of time-varying polytopic uncertain systems,” Int. Journal of Control, vol. 89, no. 11, pp. 2262–2276, 2016. doi: 10.1080/00207179.2016.1154607
[45]	L. Zhang and P. Shi, “l₂ - l_∞ model reduction for switched LPV systems with average dwell time,” IEEE Trans. Automatic Control, vol. 53, pp. 2443–2448, Nov. 2008. doi: 10.1109/TAC.2008.2007860
[46]	P. Yan and H. Ozbay, “On switching H_∞ controllers for a class of LPV systems,” in Proc. the 42nd IEEE Int. Conf. on Decision and Control, vol. 6, (Maui, Hawaii, USA), pp. 5644–5650, IEEE, 2003.
[47]	P. Yan and H. Özbay, “On switching controllers for a class of linear parameter varying systems,” Systems & Control Letters, vol. 56, pp. 504–511, July. 2007.
[48]	D. Yang and J. Zhao, “Feedback passification for switched LPV systems via a state and parameter-triggered switching with dwell time constraints,” Nonlinear Analysis: Hybrid Systems, vol. 29, pp. 147–164, Aug. 2018. doi: 10.1016/j.nahs.2018.01.005
[49]	H. Zhang, C. Lim, L. Wu, and P. Shi, “Time-weighted MR for switched LPV systems via balanced realisation,” IET Control Theory & Applications, vol. 11, pp. 3069–3078, Nov. 2017.
[50]	L. Zhang and P. Shi, “H_∞ filtering for a class of switched linear parameter varying systems,” Int. Journal of Systems Science, vol. 42, pp. 781–788, May 2011. doi: 10.1080/00207721003764158
[51]	J. Xie and J. Zhao, “Model reference adaptive control for switched LPV systems and its application,” IET Control Theory & Applications, vol. 10, pp. 2204–2212, Nov. 2016.
[52]	K. Zhu, D. Ma, and J. Zhao, “Event triggered control for a switched LPV system with applications to aircraft engines,” IET Control Theory & Applications, vol. 12, pp. 1505–1514, July. 2018.
[53]	S. Wang, W. Ji, Y. Jiang, and K. Liu, “Average dwell time approach to H_∞ filter for continuous-time switched linear parameter varying systems with time-varying delay,” Proc. the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, vol. 233, pp. 80–90, Jan. 2019.
[54]	L. Zhang, W. X. Zheng, and H. Gao, “H_∞ model reduction of switched LPV systems via semi-time-varying reduced-order model,” Systems & Control Letters, vol. 98, pp. 25–32, Dec. 2016.
[55]	L. Nie, B. Cai, S. Lu, H. Qin, and L. Zhang, “Finite-time switched LPV control of quadrotors with guaranteed performance,” Journal of the Franklin Institute, vol. 358, pp. 7032–7054, Sept. 2021. doi: 10.1016/j.jfranklin.2021.07.018
[56]	L. Nie, B. Cai, Y. Li, H. Wang, and L. Zhang, “Finite-time bounded control for quadrotors with extended dissipative performance using a switched system approach,” Transactions of the Institute of Measurement and Control, vol. 44, no. 13, pp. 2511–2521, 2022. doi: 10.1177/01423312221085140
[57]	C. J. Bett and M. D. Lemmon, “Bounded amplitude performance of switched LPV systems with applications to hybrid systems,” Automatica, vol. 35, pp. 491–503, Mar. 1999. doi: 10.1016/S0005-1098(98)00180-0
[58]	Q. Lu, L. Zhang, H. R. Karimi, and Y. Shi, “H_∞ control for asynchronously switched linear parameter-varying systems with mode-dependent average dwell time,” IET Control Theory & Applications, vol. 7, pp. 673–683, Mar. 2013.
[59]	K. Zhu and J. Zhao, “Simultaneous fault detection and control for switched LPV systems with inexact parameters and its application,” Int. Journal of Systems Science, vol. 48, pp. 2909–2920, Oct. 2017. doi: 10.1080/00207721.2017.1367052
[60]	J. Che, Y. Zhu, D. Zhou, and X. He, “Active fault tolerant control design using switching linear parameter varying controllers with inexact fault-effect parameters,” Int. Journal of Robust and Nonlinear Control, vol. 32, no. 7, pp. 4477–4494, 2022. doi: 10.1002/rnc.6032
[61]	S. Lee and J. Lim, “Switching control of H_∞ gain scheduled controllers in uncertain nonlinear systems,” Automatica, vol. 36, no. 7, pp. 1067–1074, 2000. doi: 10.1016/S0005-1098(99)00222-8
[62]	B. Lu and F. Wu, “Switching LPV control designs using multiple parameter-dependent Lyapunov functions,” Automatica, vol. 40, pp. 1973–1980, Nov. 2004. doi: 10.1016/j.automatica.2004.06.011
[63]	D. Yang, G. Zong, and S. K. Nguang, “H_∞ bumpless transfer reliable control of Markovian switching LPV systems subject to actuator failures,” Information Sciences, vol. 512, pp. 431–445, Feb. 2020. doi: 10.1016/j.ins.2019.07.059
[64]	Y. Zhu, Z. Zhong, W. X. Zheng, and D. Zhou, “HMM-based H_∞ filtering for discrete-time Markov jump LPV systems over unreliable communication channels,” IEEE Trans. Systems, Man, and Cybernetics: Systems, vol. 48, no. 12, pp. 2035–2046, 2017.
[65]	A. Vargas, C. Agulhari, R. Oliveira, and V. Preciado, “Robust stability analysis of linear parameter-varying systems with Markov jumps,” IEEE Trans. Automatic Control, vol. 67, no. 11, pp. 6234–6239, 2022. doi: 10.1109/TAC.2021.3132231
[66]	D. Yang and J. Zhao, “H_∞ bumpless transfer for switched LPV systems and its application,” Int. Journal of Control, vol. 92, pp. 1945–1958, Aug. 2019. doi: 10.1080/00207179.2017.1421774
[67]	D. Yang, G. Zong, and H. R. Karimi, “H_∞ refined antidisturbance control of switched LPV systems with application to aero-engine,” IEEE Trans. Industrial Electronics, vol. 67, pp. 3180–3190, Apr. 2020.
[68]	D. Yang and J. Zhao, “H_∞ output tracking control for a class of switched LPV systems and its application to an aero-engine model,” Int. Journal of Robust and Nonlinear Control, vol. 27, pp. 2102–2120, Aug. 2017. doi: 10.1002/rnc.3673
[69]	C. Huang and L. Long, “Safety-critical model reference adaptive control of switched nonlinear systems with unsafe subsystems: A state-dependent switching approach,” IEEE Trans. Cybernetics, vol. 63, no. 10, pp. 6353–6362, 2023.
[70]	P. Wang and Y. Zhao, “l₁ reliable control for switched positive systems with actuator faults and state-dependent switchings,” Nonlinear Analysis: Hybrid Systems, vol. 47, p. 101297, 2023. doi: 10.1016/j.nahs.2022.101297
[71]	D. Yang and J. Zhao, “Dissipativity for switched LPV systems and its application: A parameter and dwell time-dependent multiple storage functions method,” IEEE Trans. Systems, Man, and Cybernetics: Systems, vol. 50, pp. 502–513, Feb. 2020. doi: 10.1109/TSMC.2017.2756980
[72]	Y. Li, P. Bo, and J. Qi, “Asynchronous H_∞ fixed-order filtering for LPV switched delay systems with mode-dependent average dwell time,” Journal of the Franklin Institute, vol. 356, pp. 11792–11816, Dec. 2019. doi: 10.1016/j.jfranklin.2019.09.016
[73]	D. Liberzon, Switching in Systems and Control. Systems & Control: Foundations & Applications, Boston, MA: Birkhäuser Boston, 2003.
[74]	P. Zhao and R. Nagamune, “Discrete-time state-feedback switching LPV control with separate Lyapunov functions for stability and local performance,” in Proc. the 2018 Annual American Control Conf. (ACC), (Milwaukee, WI), pp. 2023–2028, IEEE, June 2018.
[75]	H. Ren and G. Zong, “Asynchronous input-output finite-time filtering for switched LPV systems,” Journal of the Franklin Institute, vol. 354, pp. 6292–6311, Sept. 2017. doi: 10.1016/j.jfranklin.2017.07.039
[76]	J. Zhao and D. J. Hill, “Dissipativity theory for switched systems,” IEEE Trans. Automatic Control, vol. 53, pp. 941–953, May 2008. doi: 10.1109/TAC.2008.920237
[77]	X. He, G. M. Dimirovski, and J. Zhao, “Control of switched LPV systems using common Lyapunov function method and an F-16 aircraft application,” in 2010 IEEE Int. Conf. on Systems, Man and Cybernetics, pp. 386–392, IEEE, Oct. 2010.
[78]	B. P. Rasmussen and Y. J. Chang, “Stable controller interpolation and controller switching for LPV systems,” Journal of Dynamic Systems, Measurement, and Control, vol. 132, p. 011007, Jan. 2010. doi: 10.1115/1.4000075
[79]	E. A. Yazdi and R. Nagamune, “A parameter set division and switching gain-scheduling controllers design method for time-varying plants,” Systems & Control Letters, vol. 60, no. 12, pp. 1016–1023, 2011.
[80]	F. D. Bianchi and R. S. Sánchez-Peña, “A novel design approach for switched LPV controllers,” Int. Journal of Control, vol. 83, pp. 1710–1717, Aug. 2010. doi: 10.1080/00207179.2010.490599
[81]	P. Zhao and R. Nagamune, “Switching LPV controller design under uncertain scheduling parameters,” Automatica, vol. 76, pp. 243–250, Feb. 2017. doi: 10.1016/j.automatica.2016.10.026
[82]	T. He, A. K. Al-Jiboory, S. S.-M. Swei, and G. G. Zhu, “Switching state-feedback LPV control with uncertain scheduling parameters,” in Proc. the 2017 American Control Conf. (ACC), (Seattle, WA, USA), pp. 2381–2386, IEEE, May 2017.
[83]	R. Wang, C. Liu, and Y. Shi, “Optimal control of aero-engine systems based on a switched LPV model,” Asian Journal of Control, vol. 23, pp. 2239–2250, Sept. 2021. doi: 10.1002/asjc.2526
[84]	K. Zhu, J. Zhao, and Y. Liu, “H_∞ filtering for switched linear parameter-varying systems and its application to aero-engines,” IET Control Theory & Applications, vol. 10, pp. 2552–2558, Dec. 2016.
[85]	H. Ren and G. Zong, “Asynchronous finite-time control for networked switched linear parameter-varying systems via an event-triggered communication scheme,” Proc. the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, vol. 233, pp. 44–57, Jan. 2019.
[86]	G. Zong, D. Yang, J. Lam, and X. Song, “Fault-tolerant control of switched LPV systems: A bumpless transfer approach,” IEEE/ASME Trans. Mechatronics, vol. 27, pp. 1436–1446, June. 2022. doi: 10.1109/TMECH.2021.3096375
[87]	X. Zhang and Z. Zhou, “Integrated fault estimation and fault tolerant attitude control for rigid spacecraft with multiple actuator faults and saturation,” IET Control Theory & Applications, vol. 13, no. 15, pp. 2365–2375, 2019.
[88]	T. Cao, H. Gong, and B. Han, “Fault tolerant attitude control design for hypersonic vehicles with actuator faults,” ICIC Express Letters, Part B: Applications, vol. 8, no. 6, pp. 927–936, 2017.
[89]	S. Zhang, V. Puig, and S. Ifqir, “Set-membership estimation of switched LPV systems: Application to fault/disturbance estimation,” Int. Journal of Robust and Nonlinear Control, vol. 34, no. 7, pp. 4509–4531, 2024. doi: 10.1002/rnc.7208
[90]	Y. Zhu and W. X. Zheng, “An integrated design approach for faulttolerant control of switched LPV systems with actuator faults,” IEEE Trans. Systems, Man, and Cybernetics: Systems, vol. 53, no. 2, pp. 908–921, 2023. doi: 10.1109/TSMC.2022.3189538
[91]	F. Wu and X. Cai, “Switching fault-tolerant control of a flexible airbreathing hypersonic vehicle,” Proc. the Institution of Mechanical Engineers Part I Journal of Systems & Control Engineering, vol. 227, no. I1, pp. 24–38, 2013.
[92]	J. Che, F. Liao, Y. Zhu, M. V. Basin, and D. Zhou, “Active fault-tolerant tracking control for discrete-time switched LPV system based on virtual actuator method,” IFAC-PapersOnLine, vol. 55, no. 6, pp. 85–90, 2022. doi: 10.1016/j.ifacol.2022.07.110
[93]	S. Lim and J.-Y. Shin, “Fault tolerant controller design using hybrid linear parameter-varying control,” in AIAA Guidance, Navigation, and Control Conf. and Exhibit, p. 5492, 2003.
[94]	M. Nguyen, O. Sename, and L. Dugard, “A switched LPV observer for actuator fault estimation,” IFAC-PapersOnLine, vol. 48, no. 26, pp. 194–199, 2015. doi: 10.1016/j.ifacol.2015.11.136
[95]	D. Rotondo, F.-R. López-Estrada, F. Nejjari, J.-C. Ponsart, D. Theilliol, and V. Puig, “Actuator multiplicative fault estimation in discrete-time LPV systems using switched observers,” Journal of the Franklin Institute, vol. 353, pp. 3176–3191, Sept. 2016. doi: 10.1016/j.jfranklin.2016.06.007
[96]	H. Cheng, C. Dong, Q. Wang, and W. Jiang, “Smooth switching linear parameter-varying fault detection filter design for morphing aircraft with asynchronous switching,” Transactions of the Institute of Measurement & Control, vol. 40, no. 8, pp. 2622–2638, 2018.
[97]	R. McCloy, J. De Dona, and M. Seron, “Sensor switching fault tolerant MPC for constrained LPV systems,” in Proc. the 2017 IEEE 56th Annual Conf. on Decision and Control (CDC), (Melbourne, Australia), pp. 6377–6382, IEEE, Dec. 2017.
[98]	K. Zhu, J. Zhao, and G. M. Dimirovski, “H_∞ tracking control for switched LPV systems with an application to aero-engines,” IEEE/CAA Journal of Automatica Sinica, vol. 5, pp. 699–705, May 2018. doi: 10.1109/JAS.2016.7510025
[99]	X. He and J. Zhao, “Multiple Lyapunov functions with blending for induced l₂-norm control of switched LPV systems and its application to an F-16 aircraft model,” Asian Journal of Control, vol. 16, pp. 149–161, Jan. 2014. doi: 10.1002/asjc.607
[100]	M. Moradi, B. Safarinejadian, and M. Shafiei, “H_∞ smooth switching distributed consensus controller for uncertain time-delay switched lpv multi-agent systems,” Transactions of the Institute of Measurement and Control, vol. 44, no. 12, pp. 2454–2471, 2022. doi: 10.1177/01423312221085145
[101]	J. Ni, P. Shi, Y. Zhao, Q. Pan, and S. Wang, “Fixed-time eventtriggered output consensus tracking of high-order multiagent systems under directed interaction graphs,” IEEE Trans. Cybernetics, vol. 52, no. 7, pp. 6391–6405, 2020.
[102]	L. Li, P. Shi, and C. K. Ahn, “Distributed iterative FIR consensus filter for multiagent systems over sensor networks,” IEEE Trans. Cybernetics, vol. 52, no. 6, pp. 4647–4660, 2020.
[103]	X. Li, P. Shi, Y. Wang, and S. Wang, “Cooperative tracking control of heterogeneous mixed-order multiagent systems with higher-order nonlinear dynamics,” IEEE Trans. Cybernetics, vol. 52, no. 6, pp. 5498–5507, 2020.
[104]	J. Ni and P. Shi, “Adaptive neural network fixed-time leader-follower consensus for multiagent systems with constraints and disturbances,” IEEE Trans. Cybernetics, vol. 51, no. 4, pp. 1835–1848, 2020.
[105]	Y. Qi, Y. Tang, and Y. Kawano, “Full differential privacy preserving for switched LPV systems,” IEEE Trans. Systems, Man, and Cybernetics: Systems, vol. 54, no. 5, pp. 3153–3163, 2024. doi: 10.1109/TSMC.2024.3355409
[106]	Y. Liang, L. Zhang, and X. Wang, “Anti-bump switched LPV control with delayed scheduling for morphing aircraft,” IEEE Trans-actions on Aerospace and Electronic Systems, pp. 1–14, 2024. doi: 10.1109/TAES.2024.3384177
[107]	G. Zong, C. Huang, and D. Yang, “Bumpless transfer fault detection for switched systems: A state-dependent switching approach,” Science China Information Sciences, vol. 64, no. 7, p. 172208, 2021. doi: 10.1007/s11432-020-3036-9

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Stability, Control and Fault Diagnosis of Switched Linear Parameter Varying Systems: A Survey

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