研究了一类具有严反馈形式的变时滞随机非线性大系统,其互联项满足线性增长约束,选择了适合这类组合非线性系统的分散状态观测器,应用Backstepping方法,通过选取适当的四次型控制Lyapunov-Krasovskii泛函,并参照Lyapunov-Krasovskii泛函定理,设计了输出反馈分散控制器,使得其闭环系统的平衡点在概率意义下时滞无关渐近稳定.通过仿真实验,其结果表明了该控制算法的有效性.
The stochastic nonlinear large-scale systems with time-varying delays in the strict-feedback form is researched. The interconnections satisfy linear increase restriction. By using backstepping algorithms, decentralized output feedback controllers are designed through choosing appropriate state observers and employing guartic control Lyapunov-Krasovskii function. The numerical simulation shows that the closed-loop system is asymptotically stable and the effectiveness of our design is verified.