Robust Tracking Control with Preview Action for Uncertain Discrete-time Systems

This paper discusses the robust preview control problem for uncertain discrete-time systems, where future reference and disturbance signals over a finite horizon can be previewed. First, in order to utilize future information for the controller design, an augmented error system including future info...

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Bibliographic Details
Published inInternational journal of control, automation, and systems Vol. 18; no. 3; pp. 719 - 729
Main Authors Li, Li, Liao, Fucheng, Ren, Zhenqin
Format Journal Article
LanguageEnglish
Published Bucheon / Seoul Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers 01.03.2020
Springer Nature B.V
제어·로봇·시스템학회
Subjects
Computer simulation
Control
Control systems design
Control Theory and Applications
Controllers
Discrete time systems
Engineering
Feedback control
Linear matrix inequalities
Mechatronics
Preview control
Production planning
Robotics
Robust control
Robustness (mathematics)
State feedback
Tracking control
제어계측공학
Augmented error system
LMI
robust control
integrator
preview control
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Summary:This paper discusses the robust preview control problem for uncertain discrete-time systems, where future reference and disturbance signals over a finite horizon can be previewed. First, in order to utilize future information for the controller design, an augmented error system including future information on previewable signals is constructed by using two new auxiliary variables related to the original system state and input. Second, sufficient conditions for designing a robust state feedback preview controller are given in terms of solutions to a set of linear matrix inequalities (LMIs). A preview controller is designed, one which guarantees that for admissible uncertainties and disturbances, the output of the closed-loop system can asymptotically track the reference signal. Finally, numerical simulation examples illustrate the superiority of the desired preview controller for the uncertain system.
Bibliography:http://link.springer.com/article/10.1007/s12555-018-0938-4
ISSN:1598-6446
2005-4092
DOI:10.1007/s12555-018-0353-x