controllerdesignforstochasticnonlinearsystemsandperformanceanalysisoftheclosedloopsystems

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	controllerdesignforstochasticnonlinearsystemsandperformanceanalysisoftheclosedloopsystems
	Liu Shujun; Zhang Jifeng
	2010
发表期刊	中国科学院研究生院学报
ISSN	1002-1175
卷号	27 期号:5 页码:711
摘要	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
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/40911
专题	系统科学研究所
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Liu Shujun,Zhang Jifeng. controllerdesignforstochasticnonlinearsystemsandperformanceanalysisoftheclosedloopsystems[J]. 中国科学院研究生院学报,2010,27(5):711.
APA	Liu Shujun,&Zhang Jifeng.(2010).controllerdesignforstochasticnonlinearsystemsandperformanceanalysisoftheclosedloopsystems.中国科学院研究生院学报,27(5),711.
MLA	Liu Shujun,et al."controllerdesignforstochasticnonlinearsystemsandperformanceanalysisoftheclosedloopsystems".中国科学院研究生院学报 27.5(2010):711.