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Optimal Preview Control for Discrete-Time Systems in Multirate Output Sampling

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  • Fucheng Liao
  • Yujian Guo

Abstract

This paper studies the disturbance preview optimal control problem for discrete-time systems with multirate output sampling. By constructing the error system and using the discrete lifting technique, we reduce the multirate preview control problem to a single-rate one for a formal augmented system. Then, applying preview control theory, the optimal preview control law of the augmented error system is obtained. Meanwhile, we introduce a discrete integrator to eliminate the static error. Then we study a method to design a controller with preview action for the original system. And the existence conditions of the controller are also discussed in detail. Finally, numerical simulation is included to illustrate the effectiveness of the proposed method.

Suggested Citation

  • Fucheng Liao & Yujian Guo, 2016. "Optimal Preview Control for Discrete-Time Systems in Multirate Output Sampling," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-10, October.
    • Handle: RePEc:hin:jnlmpe:6924324
    DOI: 10.1155/2016/6924324
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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.

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