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Bang–bang control model with optimistic value criterion for uncertain switched systems

Author

Listed:
  • Hongyan Yan

    (Nanjing University of Science and Technology
    Nanjing Forestry University)

  • Yuanguo Zhu

    (Nanjing University of Science and Technology)

Abstract

This paper studies an optimal control problem for uncertain switched linear systems with subsystems perturbed by uncertainty. A model for this problem is investigated with optimistic value criterion. The goal is to jointly design a deterministic switching law and a continuous feedback to optimize an uncertain objective function. A two-stage algorithm is applied to handle such model. In the first stage, the maximum value of the objective function and the bang–bang control are obtained under fixed switching instants, and in the second stage, GA and PSO algorithm are used to get the optimal switching instants, respectively. An example is shown to validate the method.

Suggested Citation

  • Hongyan Yan & Yuanguo Zhu, 2017. "Bang–bang control model with optimistic value criterion for uncertain switched systems," Journal of Intelligent Manufacturing, Springer, vol. 28(3), pages 527-534, March.
    • Handle: RePEc:spr:joinma:v:28:y:2017:i:3:d:10.1007_s10845-014-0996-2
    DOI: 10.1007/s10845-014-0996-2
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    Cited by:

    1. Yan, Hongyan & Jin, Ting & Sun, Yun, 2020. "Uncertain bang–bang control problem for multi-stage switched systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).

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