H-Infinity Model Predictive Control of Discrete-Time Constrained Singular Piecewise-Affine Systems with Time Delay

Abstract

This paper is concerned with the problem of designing robust H-infinity model predictive control of a class of time-delay discrete-time singular piecewise-affine systems with input saturation and state constraints. Based on a singular piecewise Lyapunov-Krasovskii function combined with S-procedure and some matrix inequality convexifying techniques, the H-infinity stabilization condition is established and the closed-loop system is investigated. And meanwhile, the model predictive controller is well estimated and designed that will move the PWA system with time delay from the current operating point to the desired one. Under energy bounded disturbance, the input saturation disturbance tolerance condition is proposed, then, the constrained state of the time-delay singular piecewise-affine systems is solved by a family of LMIs parameterized by one or two scalar variables. Numerical examples are given to illustrate the effectiveness of the proposed design methods.