Prediction schemes for disturbance attenuation of discrete‐time linear systems with input‐delay

Abstract

SummaryIn this article, two predictors are developed to estimate the future state of a discrete‐time linear system with input delay and external disturbance. The ultimate bounds of the state of the closed‐loop system are given when the predictor‐based state feedback control laws are used via the proposed predictors. Based on these expressions, the disturbance attenuation performance is analyzed for the proposed prediction schemes. For constant disturbance, the error between the estimated state and the further state can be eliminated by the controller based on these two predictors. A numerical example is employed to show the effectiveness of the proposed prediction schemes.

Prediction schemes for disturbance attenuation of discrete‐time linear systems with delayed input and delay‐free input

“…In addition, the robust stability is also analyzed when the systems with model uncertainties are controlled by the traditional predictor‐based controller and the proposed predictor‐based controller. Compared with the previous work presented by Wu et al, 21 the main contribution of this article lies in the following. In work of Wu et al, 21 the prediction scheme is used to provide an estimation of the future state.…”

“…In the work presented by Wu et al, 21 a discrete‐time system with a delayed input and an external disturbance is investigated. In this article, a more complicated system with both delayed input and delay‐free input is considered.…”

“…In this article, a more complicated system with both delayed input and delay‐free input is considered. In the work of Wu et al, 21 the prediction scheme is designed to provide an estimation of the future state. In this article, the proposed scheme is used to estimate a certain quantity, which is not a future state, but is the addition of a future state of the system and future input information.…”

Adaptive NN Finite-Time Resilient Control for Nonlinear Time-Delay Systems With Unknown False Data Injection and Actuator Faults

“…I N RECENT years, the control issues of time-delay systems have been an attractive research topic due to its significant value in theory and practice (see [1]- [6] and reference therein). Wu and Wang [2] developed a novel predictor for discretetime linear systems with input delay and external disturbance.…”

“…The creative idea in [2] is to make full use of available information to construct an estimation of the future state. Min et al [6] proposed a relaxed result for stabilizing unknown high-order stochastic nonlinear systems by removing the growth assumption.…”