Abstract
The problem of H∞ control for discrete-time switched systems is investigated via admissible edge-dependent average dwell time (AED-ADT) method in this paper. By virtue of a convex combination of positive definite matrices, a novel multiple piecewise convex Lyapunov function (MPCLF) is designed, which can relax the restricted conditions of Lyapunov functions at switching points and interval interior points. Based on the MPCLF approach, the time-varying H∞ state feedback controllers, guaranteeing that the corresponding closed-loop system is globally uniformly exponentially stable (GUES) with a prescribed H∞ performance, are established for the considered switched system. Finally, three numerical examples are provided to illustrate the effectiveness of the proposed approaches.
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Recommended by Associate Editor Jun Cheng under the direction of Editor Jessie (Ju H.) Park. This work is supported by the National Natural Science Foundation of China (61773235, 61773236), the Project of Shandong Province Higher Educational Science and Technology Program (J18KA324), and the Fundamental Research Funds for the Central Universities (2242019k30017).
Rui-Hua Wang received her M.S. degree in operational research from Qufu Normal University, Qufu, China, in 2012 and a Ph.D. degree in control theory and control engineering from Southeast University, Nanjing, China, in 2016. Dr. Wang is currently a lecturer at the Qingdao University of Technology, Qingdao, China. Her research interests include hybrid systems, positive systems, fuzzy systems, tracking control, filtering and their applications. Her works have been widely published in international journals and conferences.
Bing-Xin Xue received the B.S. degree in electrical engineering and automation from Qingdao University of Technology, Qingdao, China, in 2017. He is now pursuing an M.S. degree in the School of Information and Control Engineering, Qingdao University of Technology, Qingdao, China. His research interests include switched systems and deep learning.
Jing-Bo Zhao received the Ph.D. in control science and engineering from Harbin Engineering University, China, in 2007. He is currently with the School of Information and Control Engineering, Qingdao University of Technology, Qingdao, China. His research interests include control theory, signal processing, robotics engineering.
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Wang, RH., Xue, BX. & Zhao, JB. Time-varying H∞ Control for Discrete-time Switched Systems with Admissible Edge-dependent Average Dwell Time. Int. J. Control Autom. Syst. 17, 1921–1934 (2019). https://doi.org/10.1007/s12555-018-0721-6
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DOI: https://doi.org/10.1007/s12555-018-0721-6