参数不确定切换系统饱和控制器的随机梯度求解方法

Randomized Gradient Algorithms for Saturation Controller Design of Switched Systems with Parameter Uncertainties

针对一类各子系统执行机构均具有饱和特性的参数不确定线性切换系统,首先基于公共李雅普诺夫函数法给出了任意序列下稳定的状态反馈控制器设计方法,而后构造出用于求解饱和控制律的随机梯度算法.该算法依概率可收敛到一组可行解,数值例子表明了该算法的有效性.

Aiming at a class of linear switched systems with parameter uncertainties and actuators saturation, an approach of designing state feedback controllers is proposed based on common Lyapunov function technique. A randomized gradient algorithm which can converge to a feasible solution with probability is constructed to solve the saturation control law. A numerical example shows the effectiveness of the proposed algorithm.