Predictor-Based Feedback Control for Discrete-Time Time-Variant Linear State-Delayed Systems With Distinct Input Delays via State Transition Matrices

Abstract

The stabilization problem for discrete-time time-variant linear state-delayed systems with distinct input delays is investigated in this article. A predictor is constructed for this class of delayed systems in a concise and explicit form by using the state transition matrices as tools. With the aid of the proposed prediction scheme, a predictor-based feedback law is designed to stabilize the considered system. It is shown that the characteristic equation of the closed-loop system under the proposed predictor-based feedback law for the case of time-invariant systems is the same as that of the closed-loop system without distinct input delays. Finally, two numerical examples are employed to verify the effectiveness of the proposed method.