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Minimum-energy control for time-varying systems with multiple state and input delays

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  • Hai-Lin Liu
  • Gong-You Tang
  • Xue Yang

Abstract

This paper considers the minimum-energy control problem for a class of time-varying systems with multiple state and input delays. First, a state transform matrix is presented. By using the transform matrix, a system with multiple state and input delays is converted to a formal equivalent one without delay. Then, the optimal problem of the novel system is solved by using the maximum principle. Analytical expressions of the optimal control law and optimal performance are given by two formulas with respect to the state transform matrix. At last, an algorithm is given to solve the analytical expression of the state transform matrix. Simulation results show that the design algorithm is efficient and easy to implement.

Suggested Citation

  • Hai-Lin Liu & Gong-You Tang & Xue Yang, 2016. "Minimum-energy control for time-varying systems with multiple state and input delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(12), pages 3036-3043, September.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:3036-3043
    DOI: 10.1080/00207721.2015.1068883
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    References listed on IDEAS

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    1. Ming Liu & Jia You, 2012. "Observer-based controller design for networked control systems with sensor quantisation and random communication delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(10), pages 1901-1912.
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