Finite-time guaranteed cost control for uncertain delayed switched nonlinear stochastic systems |
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| Institution: | 1. MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha 410081, China;2. Key Laboratory of Applied Statistics and Data Science, Hunan Normal University, College of Hunan Province, Changsha 410081, China;1. Northwestern Polytechnical University, School of Automation, 1 Dongxianglu, Xi''an 710129, China;2. Key Lab of Information Fusion Technology (Ministry of Education);1. Department of Biomedical Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, China;2. City University of Hong Kong Chengdu Research Institute, Chengdu 610200, China;1. School of Mathematical Sciences, Shanxi University, Taiyuan 030006, PR China;2. School of Automation and Software Engineering, Shanxi University, Taiyuan 030006, PR China;1. Collegee of Science, Hebei North University, Zhangjiakou, 075000, PR China;2. School of Information and Control Engineering, China University of Mining and Technology, Xuzhou, 221116, PR China |
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| Abstract: | This paper studies the finite-time guaranteed cost control problem for switched nonlinear stochastic systems with parameter uncertainties and time-varying delays. By choosing a model-dependent and delay-dependent Lyapunov-Krasovskii functional, applying the average dwell time approach and the Gronwall inequality, some novel sufficient conditions are derived to ensure that the switched nonlinear stochastic closed-loop system is finite-time stochastically stable and an upper bound is given on the performance index. The obtained nonlinear matrix is transformed into a linear matrix form, and then the feedback controller gains of the switched nonlinear stochastic systems with time-varying delay are obtained. Finally, two simulation examples are designed to verify the effectiveness of the suggested approach. |
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