Next Article in Journal
Acknowledgement to Reviewers of Algorithms in 2018
Previous Article in Journal
Algorithm for Producing Rankings Based on Expert Surveys
Previous Article in Special Issue
Parametric Estimation in the Vasicek-Type Model Driven by Sub-Fractional Brownian Motion
Article Menu

Export Article

Open AccessArticle
Algorithms 2019, 12(1), 20; https://doi.org/10.3390/a12010020

Robust Guaranteed-Cost Preview Repetitive Control for Polytopic Uncertain Discrete-Time Systems

1
School of Information Engineering, Xiangtan University, Xiangtan 411105, China
2
Led Lighting Research And Technology Center of Guizhou, Tongren 554300, China.
This work was supported in part by the National Natural Science Foundation of China (61573298) and the Scientific Research Fund of Hunan Provincial Education Department (15B238).
*
Author to whom correspondence should be addressed.
Received: 14 November 2018 / Revised: 4 January 2019 / Accepted: 4 January 2019 / Published: 10 January 2019
(This article belongs to the Special Issue Parameter Estimation Algorithms and Its Applications)
Full-Text   |   PDF [592 KB, uploaded 10 January 2019]   |  

Abstract

In this paper, a robust guaranteed-cost preview repetitive controller is proposed for a class of polytopic uncertain discrete-time systems. In order to improve the tracking performance, a repetitive controller, combined with preview compensator, is inserted in the forward channel. By using the L-order forward difference operator, an augmented dynamic system is constructed. Then, the guaranteed-cost preview repetitive control problem is transformed into a guaranteed-cost control problem for the augmented dynamic system. For a given performance index, the sufficient condition of asymptotic stability for the closed-loop system is derived by using a parameter-dependent Lyapunov function method and linear matrix inequality (LMI) techniques. Incorporating the controller obtained into the original system, the guaranteed-cost preview repetitive controller is derived. A numerical example is also included, to show the effectiveness of the proposed method. View Full-Text
Keywords: robust control; preview control; repetitive control; controller design; uncertain systems robust control; preview control; repetitive control; controller design; uncertain systems
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Lan, Y.-H.; Xia, J.-J.; Shi, Y.-X. Robust Guaranteed-Cost Preview Repetitive Control for Polytopic Uncertain Discrete-Time Systems. Algorithms 2019, 12, 20.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Algorithms EISSN 1999-4893 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top