Finite-time Sliding Mode Control Design for a Class of Uncertain Conic Nonlinear Systems

Shuping He; Jun Song

doi:10.1109/JAS.2017.7510643

Volume 4 Issue 4

Oct. 2017

IEEE/CAA Journal of Automatica Sinica

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Article Navigation > IEEE/CAA Journal of Automatica Sinica > 2017 > 4(4): 809-816

Shuping He and Jun Song, "Finite-time Sliding Mode Control Design for a Class of Uncertain Conic Nonlinear Systems," IEEE/CAA J. Autom. Sinica, vol. 4, no. 4, pp. 809-816, Oct. 2017. doi: 10.1109/JAS.2017.7510643

Citation:

Shuping He and Jun Song, "Finite-time Sliding Mode Control Design for a Class of Uncertain Conic Nonlinear Systems," IEEE/CAA J. Autom. Sinica, vol. 4, no. 4, pp. 809-816, Oct. 2017. doi: 10.1109/JAS.2017.7510643

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Finite-time Sliding Mode Control Design for a Class of Uncertain Conic Nonlinear Systems

doi: 10.1109/JAS.2017.7510643

Shuping He^,,
Jun Song

School of Electrical Engineering and Automation, Anhui University, Hefei 230601, China

Funds:

the National Natural Science Foundation of China 61673001

the National Natural Science Foundation of China 61203051

the Foundation for Distinguished Young Scholars of Anhui Province 1608085J05

the Key Support Program of University Outstanding Youth Talent of Anhui Province gxydZD201701

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Author Bio:
Shuping He (M'2017) received the B.S. degree in automation and the Ph.D. degree in control theory and control engineering at Jiangnan University, Wuxi, China in 2005 and 2011, respectively. From 2010 to 2011, he was a Visiting Scholar with the Control Systems Centre, School of Electrical and Electronic Engineering, the University of Manchester, UK. From 2011 to 2013, he was successively a Senior Lecturer at Anhui University. Since 2013, he has been a Professor with the School of Electrical Engineering and Automation, Anhui University, Hefei, China. His research interests include control theory and applications, including robust control of stochastic systems, nonlinear and optimal control of nonlinear systems and complex system modeling, control, filtering, fault detection and their applications. Dr. He was a recipient of the Outstanding Youth Funds Award of Anhui Province in 2016, and the Honor of Excellent Young Talents in University of Anhui Province in 2017. He has authored or coauthored more than 80 papers in professional journals, conference proceedings, and technical reports in these related areas and coauthored a book about stochastic systems. (e-mail: shuping.he@ahu.edu.cn)

Jun Song received the B.S. degree in electronic science and technology and the master degree in pattern recognition and intelligent system at Anhui University, Hefei China in 2011 and 2014, respectively. Currently, he is now a Ph.D. candidate at the School of Information Science and Engineering, East China University of Science and Technology, Shanghai, China. His research interests include adaptive control, stochastic control, and optimal control.(e-mail: jun_song@mail.ecust.edu.cn)
Corresponding author: Shuping He, e-mail:shuping.he@ahu.edu.cn
Recommended by Associate Editor Haibo Ji
Received Date: 2014-10-11
Accepted Date: 2015-03-02

Abstract

Abstract

This paper studies the sliding mode controller design problems for a class of nonlinear system. The nonlinear function is considered to satisfy conic-type constraint condition. A novel finite-time boundedness (FTB) based sliding mode controller design theory is proposed. And then a sufficient condition is obtained in terms of linear matrix inequalities (LMIs), which guarantees the resulted sliding mode dynamics to be FTB wrt some predefined scalars. Thereafter, a FTB-based sliding mode control (SMC) law is synthesized to ensure the state of the controlled system is driven into a novel desired switching surface s(t)=c (c is a constant) in a finite time. Simulation results illustrate the validity of the proposed FTB-based SMC design theory.
- Conic nonlinear system,
- finite-time boundedness (FTB),
- sliding mode control (SMC),
- state-feedback

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Recommended by Associate Editor Haibo Ji

References(25)

References

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Finite-time Sliding Mode Control Design for a Class of Uncertain Conic Nonlinear Systems

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