一种新型的非线性随机大系统自适应镇定方法  

New adaptive stabilization approach for large-scale stochastic nonlinear systems

作　　者：武赛[1] 邓飞其[1] 

机构地区：[1]华南理工大学自动化科学与工程学院,广东广州510640

出　　处：《系统工程与电子技术》2007年第4期593-597,共5页Systems Engineering and Electronics

基　　金：国家自然科学基金(60374023);广东省自然科学基金资助课题(011629)

摘　　要：研究了一类具有严反馈形式并含有Wiener噪声扰动的非线性随机大系统,其互联项满足线性增长约束。利用微分几何的理论,应用Backstepping算法,基于Lyapunov稳定性理论,选择了适合这类组合非线性系统的状态观测器,设计了自适应输出反馈分散控制律和自适应律,使得闭环,互联的非线性随机大系统实现了概率意义下的全局稳定,仿真结果表明了控制算法的有效性。This paper focuses on the large-scale stochastic nonlinear systems with uncertain Wiener noises in the strict-feedback form. The interconnections satisfy linear increase restriction. By using the differential geometry theory, backstepping algorithms and I.yapunov stability theory, an appropriate state observer is chosen, and a decentralized adaptive controller is designed such that the closed loop, large-scale, interconnected stochastic nonlinear system is globally stable in probability. It is shown that the decentralized global stabilization via output feedback can be solved by the Lyapunov-based recursive design method.

关 键 词：非线性随机大系统 自适应控制 分散控制 输出反馈 

分 类 号：N941.4[自然科学总论—系统科学]