Adaptive tracking control for a class of stochastic switched systems

作者：Hui Zhang, Yuanqing Xia · 发表于：International Journal of Control · 年份：2017 · DOI：10.1080/00207179.2016.1278270 · 被引用次数：16 · 研究领域：Adaptive Control of Nonlinear Systems、Stability and Control of Uncertain Systems、Stability and Controllability of Differential Equations

The problem of adaptive tracking is considered for a class of stochastic switched systems, in this paper. As preliminaries, the criterion of global asymptotical practical stability in probability is first presented by the aid of common Lyapunov function method. Based on the Lyapunov stability criterion, adaptive backstepping controllers are designed to guarantee that the closed-loop system has a unique global solution, which is globally asymptotically practically stable in probability, and the tracking error in the fourth moment converges to an arbitrarily small neighbourhood of zero. Simulation examples are given to demonstrate the efficiency of the proposed schemes.