Output Feedback for Stochastic Nonlinear Systems with Unmeasurable Inverse Dynamics  

作　　者：Xin Yu Na Duan 

机构地区：[1]School of Automation, Southeast University, Nanjing 210096, PRC [2]Institute of Automation, Qufu Normal University, Qufu 273165, PRC [3]School of Electrical Engineering ＆ Automation, Xuzhou Normal University, Xuzhou 221116, PRC

出　　处：《International Journal of Automation and computing》2009年第4期391-394,共4页国际自动化与计算杂志（英文版）

基　　金：supported by National Natural Science Foundation of China (No. 60774010, 10971256, and 60974028);Jiangsu"Six Top Talents" (No. 07-A-020);Natural Science Foundation of Jiangsu Province (No. BK2009083);Program for Fundamental Research of Natural Sciences in Universities of Jiangsu Province(No.07KJB510114);Natural Science Foundation of Xuzhou Normal University (No. 08XLB20)

摘　　要：This paper considers a concrete stochastic nonlinear system with stochastic unmeasurable inverse dynamics. Motivated by the concept of integral input-to-state stability （iISS） in deterministic systems and stochastic input-to-state stability （SISS） in stochastic systems, a concept of stochastic integral input-to-state stability （SiISS） using Lyapunov functions is first introduced. A constructive strategy is proposed to design a dynamic output feedback control law, which drives the state to the origin almost surely while keeping all other closed-loop signals almost surely bounded. At last, a simulation is given to verify the effectiveness of the control law.This paper considers a concrete stochastic nonlinear system with stochastic unmeasurable inverse dynamics. Motivated by the concept of integral input-to-state stability （iISS） in deterministic systems and stochastic input-to-state stability （SISS） in stochastic systems, a concept of stochastic integral input-to-state stability （SiISS） using Lyapunov functions is first introduced. A constructive strategy is proposed to design a dynamic output feedback control law, which drives the state to the origin almost surely while keeping all other closed-loop signals almost surely bounded. At last, a simulation is given to verify the effectiveness of the control law.

关 键 词：Output feedback stochastic input-to-state stability （SISS） stochastic integral input-to-state stability （SilSS） stochastic inverse dynamic stochastic nonlinear systems. 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置] O415.5[自动化与计算机技术—控制科学与工程]