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

Authors:
Wuquan Li;Yuanwei Jing;Siying Zhang
Affiliations:
School of Mathematics and Information, Ludong University, Yantai, 264025, China;College of Information Science and Engineering, Northeastern University, Shenyang, 110819, China;College of Information Science and Engineering, Northeastern University, Shenyang, 110819, China
Venue:
Automatica (Journal of IFAC)
Year:
2011

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Abstract

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.