Finite-time state-feedback control for a class of stochastic high-order nonlinear systems |
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Authors: | Wenting Zha Weiqing Ai Shumin Fei |
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Affiliation: | Key Laboratory of Measurement and Control of CSE, Ministry of Education, School of Automation, Southeast University, Nanjing, Jiangsu 210096, China |
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Abstract: | This paper discusses the problem of global finite-time stabilization in probability for a class of stochastic high-order nonlinear systems whose drift and diffusion terms satisfy lower-triangular growth conditions. By adopting adding one power integrator technique and constructing twice continuous differential Lyapunov functions, a continuous state-feedback controller is recursively designed. Based on stochastic finite-time stability theorem, it is proved that the solution of the closed-loop system is finite-time stable in probability. Several simulation examples are given to illustrate the effectiveness of the proposed design procedure. |
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Keywords: | stochastic nonlinear systems adding one power integrator finite-time stability |
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