标题：Further Results on Adaptive Stabilization for A Class of Uncertain Stochastic Nonlinear Systems
作者：Zhang Jian; Liu Yungang; Mu Xiaowu
作者机构：[Zhang Jian; Mu Xiaowu] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Peoples R China.; [Liu Yungang] Shandong Univ, Sch Control Sci & Engn, Jinan 25 更多
会议名称：32nd Chinese Control Conference (CCC)
会议日期：JUL 26-28, 2013
来源：2013 32ND CHINESE CONTROL CONFERENCE (CCC)
关键词：High-order Stochastic Nonlinear Systems; Stochastic Integral; Input-to-State Stable; Adding a Power Integrator; Global Adaptive; Stabilization
摘要：This paper concerns the global adaptive stabilization for a class of uncertain stochastic nonlinear systems. Comparing with the existing literature, the systems under investigation are somewhat general, and allow more unknowns/ uncertainties in the inverse dynamics and the system nonlinearities. Quite differently, with the help of skillfully selecting an unknown parameter, we develop an improved adaptive control design scheme to stabilize the system. The main feature of the design scheme is that the dimensional of dynamic compensator is remarkably reduced from n to 2, and hence this considerably allays the overparametrization in the existing literature. It is worthy of pointing out that, the new controller can guarantee all the resulting closed-loop system states are global bounded and the original system states converge to the origin, both with probability one.