具有饱和执行器的离散广义系统的鲁棒镇定

Robust Stabilization of Discrete Singular Systems with Saturating Actuators

把"饱和"的概念引入到离散广义系统中,研究了具有饱和执行器的离散广义系统的鲁棒镇定问题.首先基于离散广义系统容许的充要条件,利用广义Lyapunov函数和线性矩阵不等式方法,给出了闭环系统容许的充分条件,然后利用线性矩阵不等式的可行解给出了状态反馈控制器的设计方法.最后给出了数值算例,证明了该设计方法的有效性.

Introducing the concept of saturation into the discrete singular systems, the robust stabilization of discrete singular systems with saturating actuators is discussed. Based on the sufficient and necessary conditions that the discrete singular system is admissible, a sufficient condition for the robust stability of the close-loop system is given via the generalized Lyapunov function and the linear matrix inequality. As a result, the design method of feedback controller is proposed taking advantage of the feasible solution of the linear matrix inequality, and a numerical example is given to demonstrate the effectiveness of the design method.