Passivity-based boundary control for delay reaction-diffusion systems |
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| Institution: | 1. School of Automation, Huazhong University of Science and Technology, Wuhan 430074, China;2. Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan 430074, China;1. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China;2. School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404100, China;3. College of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450046, Henan, China |
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| Abstract: | Passivity-based boundary control is considered for time-varying delay reaction-diffusion systems (DRDSs) with boundary input-output. By virtue of Lyapunov functional method and inequality techniques, sufficient conditions are obtained for input strict passivity and output strict passivity of DRDSs, respectively. When the parameter uncertainties appear in DRDSs, sufficient conditions are presented to guarantee the robust passivity. Moreover, we apply our theoretical results to the synchronization problem of coupled delay reaction-diffusion systems and get the criterion to ensure the asymptotic synchronization. Finally, numerical simulations are provided to show the validity of our theoretical results. |
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