Continuous output-feedback stabilization for a class of stochastic high-order nonlinear systems

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• 作者：Jian Zhang (12166) (22166)
  Yungang Liu (12166)
  
• 关键词：Stochastic nonlinear systems ; Uncertain control coefficients ; Nonsmooth stabilization ; Output ; feedback control ; Adding a power integrator
• 刊名：Journal of Control Theory and Applications
• 出版年：2013
• 出版时间：August 2013
• 年：2013
• 卷：11
• 期：3
• 页码：343-350
• 全文大小：236KB
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• 作者单位：Jian Zhang (12166) (22166)
  Yungang Liu (12166)
  
  12166. School of Control Science and Engineering, Shandong University, Jinan Shandong, 250061, China
  22166. Department of Mathematics, Zhengzhou University, Zhengzhou Henan, 450001, China
  

文摘

This paper is concerned with the global stabilization via output-feedback for a class of high-order stochastic nonlinear systems with unmeasurable states dependent growth and uncertain control coefficients. Indeed, there have been abundant deterministic results which recently inspired the intense investigation for their stochastic analogous. However, because of the possibility of non-unique solutions to the systems, there lack basic concepts and theorems for the problem under investigation. First of all, two stochastic stability concepts are generalized to allow the stochastic systems with more than one solution, and a key theorem is given to provide the sufficient conditions for the stochastic stabilities in a weaker sense. Then, by introducing the suitable reduced order observer and appropriate control Lyapunov functions, and by using the method of adding a power integrator, a continuous (nonsmooth) output-feedback controller is successfully designed, which guarantees that the closed-loop system is globally asymptotically stable in probability.