高阶随机非线性系统状态反馈镇定

针对一类高阶下三角随机非线性系统,提出一种新的镇定方案,采用增加一个幂积分的工具构建了一个全局稳定的光滑状态反馈控制律。通过反馈占有设计方法和Young不等式处理随机系统的非线性项,取消了对随机非线性系统反馈线性化和控制输入呈线性的要求,基于Lyapunov方法,证明了闭环系统依概率全局渐近稳定。最后,仿真实例说明了算法的可行性。

State feedback stabilization for high-order stochastic nonlinear systems

A new stabilization scheme is proposed for a class of high-order lower-triangular stochastic nonlinear system.The design tool called adding a power intergrator is used to construct a globally stabilizing smooth state feedback control law.The feedback domination design approach and Young'inequality are comblined to deal with the nonlinearities of the stochastic systems.The requirement of the feedback linearizability and linearity of the control input on the stochastic nonlinear systems is removed.Based on the Lyapunov method,the global asymptotic stability of the closed-loop system in probability is proved.Finally,the feasibility of the scheme is investigated by a simulation example.