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Finite‐time stabilization for a class of switched stochastic nonlinear systems with dead‐zone input nonlinearities |
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| Authors: | Fangzheng Gao Yuqiang Wu Yanhong Liu |
| Affiliation: | 1. School of Automation, Nanjing Institute of Technology, Nanjing, China;2. School of Mathematics and Statistics, Anyang Normal University, Anyang, China;3. Institute of Automation, Qufu Normal University, Qufu, China;4. School of Electrical Engineering, Zhengzhou University, Zhengzhou, China |
| Abstract: | This paper studies the finite‐time stabilizing control problem for a class of switched stochastic nonlinear systems (SSNSs) in p‐normal form. The switched systems under consideration possess the powers of different positive rational numbers and the dead‐zone input nonlinearities. Based on the improving finite‐time stability theorem for SSNSs established in this paper, a general framework to address common state feedback for SSNSs is developed by adopting the common Lyapunov function–based adding a power integrator technique. It is proved that the proposed controller renders the trivial solution of the closed‐loop system uniformly finite‐time stable in probability under arbitrary switchings. Finally, simulation results are given to confirm the validity of the proposed approach. |
| Keywords: | common Lyapunov function dead‐zone input nonlinearities finite‐time stabilization powers of positive rational numbers switched stochastic nonlinear systems |