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Robust Preview Control for a Class of Uncertain Discrete-Time Lipschitz Nonlinear Systems

Author

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  • Xiao Yu
  • Fucheng Liao
  • Jiamei Deng

Abstract

This paper considers the design of the robust preview controller for a class of uncertain discrete-time Lipschitz nonlinear systems. According to the preview control theory, an augmented error system including the tracking error and the known future information on the reference signal is constructed. To avoid static error, a discrete integrator is introduced. Using the linear matrix inequality (LMI) approach, a state feedback controller is developed to guarantee that the closed-loop system of the augmented error system is asymptotically stable with performance. Based on this, the robust preview tracking controller of the original system is obtained. Finally, two numerical examples are included to show the effectiveness of the proposed controller.

Suggested Citation

  • Xiao Yu & Fucheng Liao & Jiamei Deng, 2018. "Robust Preview Control for a Class of Uncertain Discrete-Time Lipschitz Nonlinear Systems," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-15, September.
    • Handle: RePEc:hin:jnlmpe:4606389
    DOI: 10.1155/2018/4606389
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    Cited by:

    1. Yuedou Pan & Mengtong Pei & Li Li & Yanrong Lu, 2020. "Preview Tracking Control for Discrete-Time Multirate Systems: An Internal Model-Based Approach," Mathematics, MDPI, vol. 8(9), pages 1-20, August.
    2. Sun, Qingdong & Ren, Junchao & Zhao, Feng, 2022. "Sliding mode control of discrete-time interval type-2 fuzzy Markov jump systems with the preview target signal," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    3. Wang, Di & Liu, Can & Ding, Dawei & Gao, Suixiang & Chu, Ming, 2022. "Finite-time optimal tracking control using augmented error system method," Applied Mathematics and Computation, Elsevier, vol. 424(C).

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