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

  • Control Theory and Applications
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International Journal of Control, Automation and Systems Aims and scope Submit manuscript

Abstract

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.

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Author information

Authors and Affiliations

  1. School of Information Management and Statistics, Hubei University of Economics and Hubei Center for Date and Analysis, Wuhan, 430205, China

    Li Li

  2. The School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, 100083, China

    Fucheng Liao

  3. School of Information Technology, LuoYang Normal University, Luoyang, 471934, China

    Zhenqin Ren

Authors
  1. Li Li
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  2. Fucheng Liao
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  3. Zhenqin Ren
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Corresponding author

Correspondence to Fucheng Liao.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Associate Editor Soohee Han under the direction of Editor Young IL Lee. This work was supported by National Natural Science Foundation of China[61903130] and Hubei Provincial Natural Science Foundation of China [2019CFB227].

Li Li received her Ph.D. degree in General and Fundamental Dynamics from University of Science and Technology Beijing in 2017. Her current research interests are in the area of preview control and robust control.

Fucheng Liao received his B.S. degree in Mathematics from Yanan University, Yanan, China, in 1982. an M.S. degree in Mathematics from Northeastern University, Shenyang, China, in 1984. and a Ph.D. degree in Control Theory and Control Engineering from University of Science and Technology Beijing, Beijing, China, in 2007. Currently, he is a professor in School of Mathematics and Physics, University of Science and Technology Beijing, China. His current research interests are in the area of preview control and robust control.

Zhenqin Ren received her Ph.D. degree in Control Science and Engineering from University of Science and Technology Beijing, Beijing, China, in 2016. Her main research interests include the preview control theory of descriptor systems, nonlinear systems, control, and system identification.

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Li, L., Liao, F. & Ren, Z. Robust Tracking Control with Preview Action for Uncertain Discrete-time Systems. Int. J. Control Autom. Syst. 18, 719–729 (2020). https://doi.org/10.1007/s12555-018-0353-x

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  • DOI: https://doi.org/10.1007/s12555-018-0353-x

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