Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

Version 1 : Received: 17 November 2018 / Approved: 20 November 2018 / Online: 20 November 2018 (12:30:14 CET)

How to cite: Lan, Y.; Jun-Jun, X. Robust Guaranteed-Cost Preview Repetitive Control for Polytopic Uncertain Discrete-Time Systems. Preprints 2018, 2018110503. https://doi.org/10.20944/preprints201811.0503.v1 Lan, Y.; Jun-Jun, X. Robust Guaranteed-Cost Preview Repetitive Control for Polytopic Uncertain Discrete-Time Systems. Preprints 2018, 2018110503. https://doi.org/10.20944/preprints201811.0503.v1

Abstract

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, the 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 the guaranteed cost control problem for the augmented dynamic system. For given performance index, the sufficient condition of asymptotic stability for the closed-loop system is derived by combining parameter-dependent Lyapunov function method with linear matrix inequality (LMI) techniques. By 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.

Keywords

robust control; preview control; repetitive control; controller design; uncertain systems

Subject

Engineering, Control and Systems Engineering

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.