Fuzzy-Model-Based Finite Frequency Fault Detection Filtering Design for Two-Dimensional Nonlinear Systems

Meng Wang; Huaicheng Yan; Jianbin Qiu; Wenqiang Ji

doi:10.1109/JAS.2024.124452

Volume 11 Issue 10

Oct. 2024

IEEE/CAA Journal of Automatica Sinica

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Article Navigation > IEEE/CAA Journal of Automatica Sinica > 2024 > 11(10): 2099-2110

M. Wang, H. Yan, J. Qiu, and W. Ji, “Fuzzy-model-based finite frequency fault detection filtering design for two-dimensional nonlinear systems,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 10, pp. 2099–2110, Oct. 2024. doi: 10.1109/JAS.2024.124452

Citation:

M. Wang, H. Yan, J. Qiu, and W. Ji, “Fuzzy-model-based finite frequency fault detection filtering design for two-dimensional nonlinear systems,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 10, pp. 2099–2110, Oct. 2024. doi: 10.1109/JAS.2024.124452

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Fuzzy-Model-Based Finite Frequency Fault Detection Filtering Design for Two-Dimensional Nonlinear Systems

doi: 10.1109/JAS.2024.124452

Funds: This work was supported in part by the National Natural Science Foundation of China (62373152, 62333005, U21B6001, 62073143, 62273121), in part by the Natural Science Funds for Excellent Young Scholars of Hebei Province in 2022 (F2022202014), in part by Science and Technology Research Project of Colleges and Universities in Hebei Province (BJ2020017), and in part by the China Postdoctoral Science Foundation (2022M711639, 2023T160320)

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Author Bio:
Meng Wang received the B.Eng. degree in automation from Northeastern University at Qinhuangdao, in 2011, and the M.Eng. degree in control science and engineering from Harbin Institute of Technology, in 2013, and the Ph.D. degree from the Department of Mechanical and Biomedical Engineering, City University of Hong Kong, Hong Kong, China, in 2018. He is currently an Associate Professor at the School of Information Science and Engineering, East China University of Science and Technology. His research interests include robust control and filtering, fuzzy systems and control, and their engineering applications

Huaicheng Yan received the B.Sc. degree in automatic control from Wuhan University of Technology, in 2001, and the Ph.D. degree in control theory and control engineering from Huazhong University of Science and Technology, in 2007. In 2011, he was a Research Fellow with the University of Hong Kong, Hong Kong, China, for three months, and also a Research Fellow with the City University of Hong Kong, Hong Kong, China, in 2012, for six months. Currently, he is a Full Professor with the School of Information Science and Engineering, East China University of Science and Technology. He is an Associate Editor of IEEE Transactions on Neural Networks and Learning Systems, International Journal of Robotics and Automation, and IEEE Open Journal of Circuits and Systems.His research interests include networked control systems, multi-agent systems and robotics

Jianbin Qiu (Fellow, IEEE) received the B.Eng. and Ph.D. degrees in mechanical and electrical engineering from the University of Science and Technology of China, in 2004 and 2009, respectively. He also received the Ph.D. degree in mechatronics engineering from the City University of Hong Kong, Hong Kong, China, in 2009.He is currently a Full Professor at the School of Astronautics, Harbin Institute of Technology. He was an Alexander von Humboldt Research Fellow at the Institute for Automatic Control and Complex Systems, University of Duisburg-Essen, Germany. His current research interests include intelligent and hybrid control systems, signal processing, and robotics.Prof. Qiu is a Fellow of IEEE and serves as the Chair of the IEEE Industrial Electronics Society Harbin Chapter, China. He is an Associate Editor of IEEE Transactions on Fuzzy Systems, IEEE Transactions on Cybernetics, and IEEE Transactions on Industrial Informatics

Wenqiang Ji received the Ph.D. degree in control science and engineering from the Harbin Institute of Technology (HIT). He is currently a Professor in the School of Artificial Intelligence, Hebei University of Technology. His main research interests include modeling and control of fuzzy systems, nonlinear systems, sampled-data control and filtering design, robust control, and sliding mode control
Corresponding author: Meng Wang, e-mail: mengwang@ecust.edu.cn
Received Date: 2024-03-01
Accepted Date: 2024-03-26

Available Online: 2024-06-20

Abstract

Abstract

This article studies the fault detection filtering design problem for Roesser type two-dimensional (2-D) nonlinear systems described by uncertain 2-D Takagi-Sugeno (T-S) fuzzy models. Firstly, fuzzy Lyapunov functions are constructed and the 2-D Fourier transform is exploited, based on which a finite frequency fault detection filtering design method is proposed such that a residual signal is generated with robustness to external disturbances and sensitivity to faults. It has been shown that the utilization of available frequency spectrum information of faults and disturbances makes the proposed filtering design method more general and less conservative compared with a conventional non-frequency based filtering design approach. Then, with the proposed evaluation function and its threshold, a novel mixed finite frequency $ {\cal{H}}_{\infty}/{\cal{H}}_{-}$ fault detection algorithm is developed, based on which the fault can be immediately detected once the evaluation function exceeds the threshold. Finally, it is verified with simulation studies that the proposed method is effective and less conservative than conventional non-frequency and/or common Lyapunov function based filtering design methods.

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References(42)

References

[1]	C. Deng, W. Gao, and W. Che, “Distributed adaptive fault-tolerant output regulation of heterogeneous multi-agent systems with coupling uncertainties and actuator faults,” IEEE/CAA J. Autom. Sinica, vol. 7, no. 4, pp. 1098–1106, Jul. 2020. doi: 10.1109/JAS.2020.1003258
[2]	M. Zhou, Z. Cao, and Y. Wang, “Robust fault detection and isolation based on finite-frequency ${\cal{H}}_{-}/{\cal{H}}_{\infty}$ unknown input observers and zonotopic threshold analysis,” IEEE/CAA J. Autom. Sinica, vol. 6, no. 3, pp. 750–759, May 2019. doi: 10.1109/JAS.2019.1911492
[3]	S. Yan, W. Sun, F. He, and J. Yao, “Adaptive fault detection and isolation for active suspension systems with model uncertainties,” IEEE Trans. Reliability, vol. 68, no. 3, pp. 927–937, Sept. 2019. doi: 10.1109/TR.2018.2868949
[4]	X. Xie, D. Ma, D. Yue, and J. Xia, “Gain-scheduling fault estimation for discrete-time Takagi-Sugeno fuzzy systems: A depth partitioning approach,” IEEE Trans. Circuits and Systems I: Regular Papers, vol. 69, no. 4, pp. 1693–1703, 2022. doi: 10.1109/TCSI.2021.3135911
[5]	S. Xiao and J. Dong, “Distributed fault-tolerant containment control for nonlinear multi-agent systems under directed network topology via hierarchical approach,” IEEE/CAA J. Autom. Sinica, vol. 8, no. 4, pp. 806–816, Apr. 2021. doi: 10.1109/JAS.2021.1003928
[6]	D. Zhang, Z. Ye, and X. Dong, “Co-design of fault detection and consensus control protocol for multi-agent systems under hidden DoS attack,” IEEE Trans. Circuits and Systems I: Regular Papers, vol. 68, no. 5, pp. 2158–2170, May 2021. doi: 10.1109/TCSI.2021.3058216
[7]	L. Zhang, H.-K. Lam, Y. Sun, and H. Liang, “Fault detection for fuzzy semi-Markov jump systems based on interval type-2 fuzzy approach,” IEEE Trans. Fuzzy Systems, vol. 28, no. 10, pp. 2375–2388, Oct. 2020. doi: 10.1109/TFUZZ.2019.2936333
[8]	H. Li, Z. Chen, L. Wu, H.-K. Lam, and H. Du, “Event-triggered fault detection of nonlinear networked systems,” IEEE Trans. Cybernetics, vol. 47, no. 4, pp. 1041–1052, Apr. 2017. doi: 10.1109/TCYB.2016.2536750
[9]	H.-N. Wu and Z.-P. Wang, “Observer-based ${\cal{H}}_{\infty}$ sampled-data fuzzy control for a class of nonlinear parabolic PDE systems,” IEEE Trans. Fuzzy Systems, vol. 26, no. 2, pp. 454–473, Apr. 2018. doi: 10.1109/TFUZZ.2017.2686337
[10]	J. Zeng and X. Zhang, “An adaptive large neighborhood search for single-machine batch processing scheduling with 2-D rectangular bin-packing constraints,” IEEE Trans. Reliability, vol. 71, no. 1, pp. 139–148, Mar. 2022. doi: 10.1109/TR.2021.3128167
[11]	V. Kostyuk. Two-Dimensional Linear Systems. Berlin: Springer, 1985.
[12]	R. P. Roesser, “A discrete state-space model for linear image processing,” IEEE Trans. Automatic Control, vol. AC-20, no. 1, pp. 1–10, Feb. 1975.
[13]	E. Fornasini and G. Marchesini, “Doubly-indexed dynamical systems: State-space models and structural properties,” Mathematical Systems Theorey, vol. 12, pp. 59–72, Dec. 1978. doi: 10.1007/BF01776566
[14]	C. K. Ahn, L. Wu, and P. Shi, “Stochastic stability analysis for 2-D Roesser systems with multiplicative noise,” Automatica, vol. 69, pp. 356–363, Jul. 2016. doi: 10.1016/j.automatica.2016.03.006
[15]	L. Wu, R. Yang, P. Shi, and X. Su, “Stability analysis and stabilization of 2-D switched systems under arbitrary and restricted switchings,” Automatica, vol. 59, pp. 206–215, Sept. 2015. doi: 10.1016/j.automatica.2015.06.008
[16]	Z. Q. Ge, “Exact controllability and exact observability of descriptor infinite dimensional systems,” IEEE/CAA J. Autom. Sinica, vol. 8, no. 12, pp. 1956–1963, Dec. 2021. doi: 10.1109/JAS.2020.1003411
[17]	M. Wang, J. Qiu, H. Yan, Z. Li, and Y. Li, “Static output feedback control for uncertain Roesser-type continuous-time two-dimensional piecewise affine systems,” SCIENCE CHINA Information Sciences, vol. 65, no. 11, p. 219204, Sept. 2022. doi: 10.1007/s11432-021-3486-9
[18]	H. Alikhani and N. Meskin, “Event-triggered robust fault diagnosis and control of linear Roesser systems: A unified framework,” Automatica, vol. 128, p. Article No. 109575, 2021. doi: 10.1016/j.automatica.2021.109575
[19]	Z. Duan, J. Fu, C. K. Ahn, Z. Xiang, and I. Ghous, “Mixed l₁/l_- fault detection for positive 2-D systems with distributed delays,” IEEE Trans. Systems, Man, and Cybernetics: Systems, vol. 52, no. 11, pp. 790–7100, Nov. 2022.
[20]	J. Fu, Z. Duan, and Z. Xiang, “On mixed l₁/l_- fault detection observer design for positive 2D Roesser systems: Necessary and sufficient conditions,” Journal of the Franklin Institute, vol. 359, pp. 160–177, 2022. doi: 10.1016/j.jfranklin.2020.09.049
[21]	W. Ji, J. Qiu, and H.-K. Lam, “A new sampled-data output-feedback controller design of nonlinear systems via fuzzy affine models,” IEEE Trans. Cybernetics, vol. 52, no. 3, pp. 1681–1690, Mar. 2022. doi: 10.1109/TCYB.2020.2984331
[22]	X. Xie, C. Wei, Z. Gu, and K. Shi, “Relaxed resilient fuzzy stabilization of discrete-time Takagi-Sugeno systems via a higher order time-variant balanced matrix method,” IEEE Trans. Fuzzy Systems, vol. 30, no. 11, pp. 5044–5050, Nov. 2022. doi: 10.1109/TFUZZ.2022.3145809
[23]	J. Mao, X. Meng, and D. Ding, “Fuzzy set-membership filtering for discrete-time nonlinear systems,” IEEE/CAA J. Autom. Sinica, vol. 9, no. 6, pp. 1026–1036, Jun. 2022. doi: 10.1109/JAS.2022.105416
[24]	P. Cheng, S. He, V. Stojanovic, X. Luan, and F. Liu, “Fuzzy fault detection for Markov jump systems with partly accessible hidden information: An event-triggered approach,” IEEE Trans. Cybernetics, vol. 52, no. 8, pp. 7352–7361, Aug. 2022. doi: 10.1109/TCYB.2021.3050209
[25]	Z. Zhang, H. Li, C. Wu, and Q. Zhou, “Finite frequency fuzzy ${\cal{H}}_{\infty}$ control for uncertain active suspension systems with sensor failure,” IEEE/CAA J. Autom. Sinica, vol. 5, no. 4, pp. 777–786, July 2018. doi: 10.1109/JAS.2018.7511132
[26]	X. Zhang, H. Wang, V. Stojanovic, P. Cheng, S. He, X. Luan, and F. Liu, “Asynchronous fault detection for interval type-2 fuzzy nonhomogeneous higher level Markov jump systems with uncertain transition probabilities,” IEEE Trans. Fuzzy Systems, vol. 30, no. 7, pp. 2487–2499, Jul. 2022. doi: 10.1109/TFUZZ.2021.3086224
[27]	J. Han, X. Liu, X. Wei, and X. Hu, “Adaptive adjustable dimension observer based fault estimation for switched fuzzy systems with unmeasurable premise variables,” Fuzzy Sets and Systems, vol. 452, pp. 149–167, Jan. 2023. doi: 10.1016/j.fss.2022.06.017
[28]	Y. Mu, H. Zhang, Z. Gao, and S. Sun, “Fault estimation for discrete-time T-S fuzzy systems with unmeasurable premise variables based on fuzzy Lyapunov functions,” IEEE Trans. Circuits and Systems-II, Express Briefs, vol. 69, no. 3, pp. 1297–1231, Mar. 2022. doi: 10.1109/TCSII.2021.3103856
[29]	J. Han, X. Liu, X. Gao, and X. Wei, “Intermediate observer-based robust distributed fault estimation for nonlinear multiagent systems with directed graphs,” IEEE Trans. Industrial Informatics, vol. 16, no. 12, pp. 7426–7436, Dec. 2020. doi: 10.1109/TII.2019.2958988
[30]	J. Qiu, W. Ji, and M. Chadli, “A novel fuzzy output feedback dynamic sliding mode controller design for two-dimensional nonlinear systems,” IEEE Trans. Fuzzy Systems, vol. 29, no. 10, pp. 2869–2877, Oct. 2021. doi: 10.1109/TFUZZ.2020.3008271
[31]	Y. Luo, Z. Wang, G. Wei, and F. E. Alsaadi, “ ${\cal{H}}_{\infty}$ fuzzy fault detection for uncertain 2-D systems under Round-Robin scheduling protocol,” IEEE Trans. Systems, Man, and Cybernetics: Systems, vol. 47, no. 8, pp. 2172–2184, Aug. 2017. doi: 10.1109/TSMC.2016.2632043
[32]	X. Wang, Z. Fei, P. Shi, and J. Yu, “Zonotopic fault detection for 2-D systems under event-triggered mechanism,” IEEE Trans. Cybernetics, vol. 52, no. 5, pp. 3510–3518, May 2022. doi: 10.1109/TCYB.2020.3009118
[33]	Z. Hu, S. Liu, W. Luo, and L. Wu, “Intrusion-detector-dependent distributed economic model predictive control for load rrequency regulation with PEVs under cyber attacks,” IEEE Trans. Circuits and Systems I: Regular Papers, vol. 68, no. 9, pp. 3857–3868, Sept. 2021. doi: 10.1109/TCSI.2021.3089770
[34]	R. Zhao, L. Liu, and G. Feng, “ ${\cal{H}}_{-}/{\cal{H}}_{\infty}$ memory fault detection filtering design for uncertain systems with finite frequency specifications,” Int. Journal of Robust and Nonlinear Control, vol. 31, no. 11, pp. 5381–5403, Jul. 2021. doi: 10.1002/rnc.5552
[35]	T. Iwasaki and S. Hara, “Generalized KYP lemma: Unified frequency domain inequalities with design applications,” IEEE Trans. Automatic Control, vol. 50, no. 1, pp. 41–59, Jan. 2005. doi: 10.1109/TAC.2004.840475
[36]	A. Chibani, M. Chadli, P. Shi, and N. B. Braiek, “Fuzzy fault detection filter design for T-S fuzzy systems in the finite-frequency domain,” IEEE Trans. Fuzzy Systems, vol. 25, no. 5, pp. 1051–1061, Oct. 2017. doi: 10.1109/TFUZZ.2016.2593921
[37]	A. Chibani, M. Chadli, S. X. Ding, and N. B. Braiek, “Design of robust fuzzy fault detection filter for polynomial fuzzy systems with new finite frequency specifications,” Automatica, vol. 93, pp. 42–54, Jul. 2018. doi: 10.1016/j.automatica.2018.03.024
[38]	W. Li, Z. Xie, J. Zhao, P. K. Wong, H. Wang, and X. Wang, “Static-output-feedback based robust fuzzy wheelbase preview control for uncertain active suspensions with time delay and finite frequency constraint,” IEEE/CAA J. Autom. Sinica, vol. 8, no. 3, pp. 664–678, Mar. 2021. doi: 10.1109/JAS.2020.1003183
[39]	R. Yang, L. Xie, and C. Zhang, “Generalized two-dimensional Kalman-Yakubovich-Popov lemma for discrete Roesser model,” IEEE Trans. Circuits and Systems-I: Regular Paper, vol. 55, no. 10, pp. 3223–2233, Nov. 2008. doi: 10.1109/TCSI.2008.923284
[40]	D.-W. Ding, H. Wang, and X. Li, “ ${\cal{H}}_{\infty}/{\cal{H}}_{\infty}$ fault detection observer design for two-dimensional Roesser systems,” Systems & Control Letters, vol. 82, pp. 115–120, 2015.
[41]	L. V. Hien, H. Trinh, and N. T. Lan-Huong, “Delay-dependent energy-to-peak stability of 2-D time-delay Roesser systems with multiplicative stochastic noises,” IEEE Trans. Automatic Control, vol. 64, no. 12, pp. 5066–5073, Dec. 2019. doi: 10.1109/TAC.2019.2907888
[42]	S. Boyd, L. El Ghaoui, F. Feron, and V. Balakrishnan. Linear Matrix Inequality in Systems and Control Theory. Philadelphia, PA: SIAM, 1994.

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Fuzzy-Model-Based Finite Frequency Fault Detection Filtering Design for Two-Dimensional Nonlinear Systems

doi: 10.1109/JAS.2024.124452

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