Switching design for suboptimal guaranteed cost control of 2-D nonlinear switched systems in the Roesser model |
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| Institution: | 1. College of Energy and Electrical Engineering, Hohai University, Nanjing 210098, People’s Republic of China;2. School of Science, Nanjing University of Science and Technology, Nanjing 210094, People’s Republic of China;1. School of Computing, Engineering and Mathematics, Western Sydney University, Sydney, NSW 2751, Australia;2. School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, China;1. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, People’s Republic of China;2. Department of Electrical Engineering, COMSATS Institute of Information Technology, Lahore 54000, Pakistan;3. Department of Mechanical Engineering, Politecnico di Milano, 20156 Milan, Italy |
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| Abstract: | This paper deals with the problem of switching design for guaranteed cost control of discrete-time two-dimensional (2-D) nonlinear switched systems described by the Roesser model. The switching signal, which determines the active mode of the system, is subject to a state-dependent process whose values belong to a finite index set. By using 2-D common Lyapunov function approach, a sufficient condition expressed in terms of tractable matrix inequalities is first established to design a min-projection switching rule that makes the 2-D switched system asymptotically stable. The obtained result on stability analysis is then utilized to synthesize a suboptimal state feedback controller that minimizes the upper bound of a given infinite-horizon cost function. Finally, two numerical examples are given to illustrate the effectiveness of the proposed design method. |
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| Keywords: | 2-D switched systems Roesser model Guaranteed cost control Linear matrix inequalities |
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