关键词: 不确定时滞系统, 记忆状态反馈控制, 模型预测控制, 线性矩阵不等式

Abstract:

Proposed in this paper is a model predictive controller ( MPC) based on the memory state feedback,which is developed for discrete-time uncertain linear time-delay systems with input constraints. In this MPC,a robust performance index is defined,and the feedback control law with time-delay state is presented by taking into consideration the influence of time-delay state. During the online optimization,the current control variable is taken as an independent decision variable and is separated from the rest of the control variables governed by the feedback law. Thus,the conservatism of the algorithm is deduced and the feasibility of the algorithm is improved. Moreover,the control strategy of the convex optimization based on the linear matrix inequality and the sufficient condition of system stability are presented,and a simulation is finally performed to verify the effectiveness of the proposed algorithm.

Key words: uncertain time-delay system, memory state feedback control, model predictive control, linear matrix inequalities