%0 Journal Article
%T Controller design for stochastic nonlinear systems and performance analysis of the closed-loop systems<br>随机非线性系统的控制器设计和闭环性能分析
%A LIU Shu-Jun
%A ZHANG Ji-Feng
%A <br>刘淑君
%A 张纪峰
%J 中国科学院研究生院学报
%D 2010
%I 
%X For several classes of important stochastic nonlinear systems we develop new concepts and basic analysis tools, based on which some problems of controller design are investigated and solved. The main contents are the following. (1) For a class of stochastic nonlinear systems with unmeasurable dynamics, the concept of stochastic input-to-state stability (SISS) is introduced. By using the probability theory, a method of changing supply functions is developed in the stochastic framework, and a small-gain condition on the SISS is given for cascaded stochastic nonlinear systems. (2) For a class of large-scale stochastic nonlinear systems with SISS stochastic inverse dynamics, a decentralized adaptive stabilization controller based on output feedback is constructively designed. Both practical stabilization and asymptotical stabilization are solved. A method dealing with the stochastic nonlinear inverse dynamics is given in the framework of decentralized control. (3) For a class of stochastic nonlinear systems with unstable zero dynamics, the concept of stochastic input-to-state stabilization is introduced, and by using this concept a global stabilization controller based on output feedback is constructively designed. (4) For a class of stochastic nonlinear systems with linearly bounded unmeasurable states, the concept of generalized stochastic input-to-state stability is introduced with respect to the noises with unknown covariance and the general stochastic inputs, and by using this concept, output-feedback controllers are constructively designed for stochastic disturbance attenuation and asymptotically global stabilization, respectively. (5) For general stochastic nonlinear systems with time delays, some conditions on the existence and uniqueness of the solution are provided, global (asymptotical) stability in probability is introduced, and the corresponding criterion is obtained. Besides, for a class of uncertain stochastic nonlinear systems with time-varying time delays, an adaptive output-feedback stabilization controller is constructed.
%K stochastic nonlinear systems
%K zero dynamic
%K inverse dynamic
%K output feedback
%K integrator backstepping method
%K stabilization controller
%K strict-feedback
%K stochastic input-to-state stability<br>随机非线性系统
%K 零动态
%K 逆动态
%K 输出反馈
%K 积分反推法
%K 镇定控制器
%K 严格反馈
%K 随机输入状态稳定
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=B5EDD921F3D863E289B22F36E70174A7007B5F5E43D63598017D41BB67247657&cid=B47B31F6349F979B&jid=67CDFDECD959936E166E0F72DE972847&aid=5C08300E8E4AE9615C613B17B9B4FB71&yid=140ECF96957D60B2&vid=DB817633AA4F79B9&iid=94C357A881DFC066&sid=FD6137FFCE59D193&eid=4D0B71A09FA5A2A5&journal_id=1002-1175&journal_name=中国科学院研究生院学报&referenced_num=0&reference_num=25