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Preview Control for MIMO Discrete-Time System with Parameter Uncertainty

Author

Listed:
  • Li Li

    (School of Information Management and Statistics, Hubei University of Economics, Wuhan 430205, China)

  • Fucheng Liao

    (School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China)

Abstract

We consider the problems of state feedback and static output feedback preview controller (PC) for uncertain discrete-time multiple-input multiple output (MIMO) systems based on the parameter-dependent Lyapunov function and the linear matrix inequality (LMI) technique in this paper. First, for each component of a reference signal, an augmented error system (AES) containing previewed information is constructed via the difference operator and state augmentation technique. Then, for the AES, the state feedback and static output feedback are introduced, and when considering the output feedback, a previewable reference signal is utilized by modifying the output equation. The preview controllers’ parameter matrices can be achieved from the solution of LMI problems. The superiority of the PC is illustrated via two numerical examples.

Suggested Citation

  • Li Li & Fucheng Liao, 2020. "Preview Control for MIMO Discrete-Time System with Parameter Uncertainty," Mathematics, MDPI, vol. 8(5), pages 1-20, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:756-:d:356007
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    References listed on IDEAS

    as
    1. Jiang Wu & Fucheng Liao & Masayoshi Tomizuka, 2017. "Optimal preview control for a linear continuous-time stochastic control system in finite-time horizon," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(1), pages 129-137, January.
    2. Yanrong Lu & Fucheng Liao & Jiamei Deng & Huiyang Liu, 2017. "Cooperative global optimal preview tracking control of linear multi-agent systems: an internal model approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(12), pages 2451-2462, September.
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