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ABSTRACT
This study focuses on the proportional plus derivative state feedback (PDSF) control problem for continuous-time nonlinear descriptor systems described by Takagi–Sugeno fuzzy models with distinct fuzzy rules appearing in both sides of the considered system. Without using any additional transformations, some new conditions are developed by means of the free-weighting matrix technique and presented in terms of linear matrix inequalities to ensure that the resultant closed-loop system is normal and stable. Explicit expression of the desired PDSF controller is also given. Furthermore, the obtained result is extended to a class of uncertain nonlinear descriptor systems with norm-bounded perturbations. Finally, three examples are presented to show the effectiveness of the proposed method.
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No potential conflict of interest was reported by the authors.
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Notes on contributors
Yunfei Mu
Yunfei Mu received the B.S. degree in Mathematics and Applied Mathematics in 2015 from Jilin Normal University, Siping, China. He received the M.S. degree in Operational Research and Cybernetics from Northeastern University, Shenyang, China, in 2018. He has been pursuing the Ph.D. degree since 2018 in Northeastern University, Shenyang, China. His current research covers singular systems, observer design, fault tolerant control, optimal control and their industrial applications.
Huaguang Zhang
Huaguang Zhang (M'03, SM'04, F'14) received the B.S. degree and the M.S. degree in control engineering from Northeast Dianli University of China, Jilin City, China, in 1982 and 1985, respectively. He received the Ph.D. degree in thermal power engineering and automation from Southeast University, Nanjing, China, in 1991. He joined the Department of Automatic Control, Northeastern University, Shenyang, China, in 1992, as a Postdoctoral Fellow for two years. Since 1994, he has been a Professor and Head of the Institute of Electric Automation, School of Information Science and Engineering, Northeastern University, Shenyang, China. His main research interests are fuzzy control, stochastic system control, neural networks based control, nonlinear control and their applications. He has authored and coauthored over 280 journal and conference papers, six monographs and co-invented 90 patents. Dr. Zhang is the fellow of IEEE, the E-letter Chair of IEEE CIS Society, the former Chair of the Adaptive Dynamic Programming & Reinforcement Learning Technical Committee on IEEE Computational Intelligence Society. He is an Associate Editor of AUTOMATICA, IEEE TRANSACTIONS ON NEURAL NETWORKS, IEEE TRANSACTIONS ON CYBERNETICS, and NEUROCOMPUTING, respectively. He was an Associate Editor of IEEE TRANSACTIONS ON FUZZY SYSTEMS (2008–2013). He was awarded the Outstanding Youth Science Foundation Award from the National Natural Science Foundation Committee of China in 2003. He was named the Cheung Kong Scholar by the Education Ministry of China in 2005. He is a recipient of the IEEE Transactions on Neural Networks 2012 Outstanding Paper Award. He is also a recipient of Andrew P. Sage Best Transactions Paper Award 2015.
Jiayue Sun
Jiayue Sun received the B.S. degree and M.S. degree in Electrical Engineering from Liaoning Technical University, Huludao, China, in 2013 and 2016, respectively. She is working towards the Ph.D. degree in power electronics and power transmission, Northeastern University. Her research interests include fuzzy control, switched systems, fault detection and their industrial applications.
Junchao Ren
Junchao Ren received the B.S. degree in applied mathematics from Northeastern University, China, in 2000 and the M.S. degree in control theory and control engineering from Guangdong University of Technology, Guangzhou, in 2003, and the Ph.D. degree in control theory and control engineering from Northeastern University, China, in 2011. Dr. Ren is currently an associate professor with College of Sciences, Northeastern University, Shenyang, China. His research interests include robust control and singular systems.