一种新型的非线性随机大系统自适应镇定方法

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。

New adaptive stabilization approach for large-scale stochastic nonlinear systems

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 Lyapunov 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.