一类具有输入饱和的随机非线性系统的自适应镇定  

ADAPTIVE STABILIZATION FOR A CLASS OF STOCHASTIC NONLINEAR SYSTEMS WITH INPUT SATURATION

作　　者：马一科[1] 季海波[1] 

机构地区：[1]中国科学技术大学自动化系,合肥230027

出　　处：《系统科学与数学》2012年第6期683-692,共10页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(60674029)资助

摘　　要：研究了一类包含输入饱和的随机非线性系统的自适应镇定问题.采用基于死区算子的模型来描述饱和现象,利用随机控制Lyapunov设计方法,对于受方差不确定Wiener噪声干扰的参数严反馈系统,设计了自适应控制器,使得系统能够依概率全局渐近稳定.仿真结果验证了该方法的有效性.This paper deals with adaptive stabilization problems for a class of stochastic nonlinear systems with input saturation. A dead zone based model is used to describe saturation phenomenon. A stochastic Lyapunov method is applied for systems in strict-feedback form driven by Wiener noises of unknown covariance. An adaptive controller is obtained which guarantees the global asymptotic stabilization in probability. Simulation results are provided to illustrate the effectiveness of the proposed approach.

关 键 词：自适应镇定 输入饱和 Wiener噪声 随机LaSalle定理. 

分 类 号：O231.3[理学—运筹学与控制论]