Stability and stabilization of positive switched systems with mode-dependent average dwell time |
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| Affiliation: | 1. School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;2. Department of Electrical Engineering, Soochow University, Jiangsu 215000, China;1. College of Electrical and Information Engineering, Southwest Minzu University, Chengdu, Sichuan, 610041, China;2. Center for Intelligent & Networked Systems, Department of Automation & TNList Tsinghua University, Beijing, 100084, China;3. School of Mathematical Sciences, University of Electronic Science & Technology of China, Chengdu, Sichuan, 611731, China;1. School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu 210049, China;2. School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China;1. School of Transportation and Logistics, Southwest Jiaotong University, Chengdu 610031, China;2. School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China |
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| Abstract: | This paper investigates stability and stabilization of positive switched systems with mode-dependent average dwell time, which permits to each subsystem in the underlying systems to have its own average dwell time. First, by using the multiple linear copositive Lyapunov function, the stability analysis of continuous-time systems in the autonomous form is addressed based on the mode-dependent average dwell time switching strategy. Then, the stabilization of non-autonomous systems is considered. State-feedback controllers are constructed, and all the proposed conditions are solvable in terms of linear programming. The obtained results are also extended to discrete-time systems. Finally, the simulation examples are given to illustrate the correctness of the design. The switching strategy used in the paper seems to be more effective than the average dwell time switching by some comparisons. |
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