Guaranteed Cost Preview and Repetitive Control for Uncertain Linear Discrete Time-Delay Systems

Authors

Yonghong Lan, School of information engineering, Xiangtan University, Xiangtan 411105, China;
Jinlin He, School of information engineering, Xiangtan University, Xiangtan 411105, China;

Abstract

Abstract: For a class of uncertain linear discrete time-delay systems, a design method for guaranteed cost preview and repetitive controller is proposed . By introducing a repetitive controller in the forward channel to improve the tracking accuracy of the system, L-order difference operators are used to construct an augmented error system that contains preview information but does not include time delay, and the design problem of guaranteed cost preview and repetitive controller is converted into an output feedback adjustment problem. Using the Lyapunov stability theory and the linear matrix inequality method, the sufficient conditions for guaranteeing the asymptotic stability of the closed-loop system are obtained. A numerical simulation is presented to illustrate the validity of the proposed method.

Recommended Citation

Lan, Yonghong and He, Jinlin (2021) "Guaranteed Cost Preview and Repetitive Control for Uncertain Linear Discrete Time-Delay Systems," Journal of System Simulation: Vol. 33: Iss. 3, Article 3.
DOI: 10.16182/j.issn1004731x.joss.19-0617
Available at: https://dc-china-simulation.researchcommons.org/journal/vol33/iss3/3

First Page

529

Revised Date

2020-01-23

DOI Link

https://doi.org/10.16182/j.issn1004731x.joss.19-0617

Last Page

538

CLC

TP273.5;TP391

Recommended Citation

Lan Yonghong, He Jinlin. Guaranteed Cost Preview and Repetitive Control for Uncertain Linear Discrete Time-Delay Systems[J]. Journal of System Simulation, 2021, 33(3): 529-538.

DOI

10.16182/j.issn1004731x.joss.19-0617