Adaptive state-feedback stabilization for a large class of high-order stochastic nonlinear systems

• DOI: 10.1016/j.automatica.2011.01.084
• Publication Date: 2011-02-27T13:44:52Z
• Authors: Wuquan Li; Yuanwei Jing; Siying Zhang
• Keywords: Strict-feedback form

Under the more general conditions on the power order and the nonlinear functions, this paper investigates the problem of adaptive state-feedback stabilization for a class of high-order stochastic nonlinear systems with time-varying control coefficients. Based on the backstepping design method and homogeneous domination technique, the closed-loop system can be proved to be globally stable in probability and the states can be regulated to the origin almost surely. The efficiency of the state-feedback controller is demonstrated by a simulation example.