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Evaluation of Input Redundancies on Linear Quadratic Regulator Problems

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Listed:
  • Zhongxing Peng

    (Peking University)

  • Ying Yang

    (Peking University)

Abstract

This paper discusses the reduction of the minimum cost caused by the presence of input redundancies on linear quadratic regulator problems. An upper bound is first established for the problem with identical input redundancies. And this is further extended to the one with arbitrary input redundancies. Meanwhile, an algorithm is proposed to estimate the upper bound with given accuracy. Finally, a numerical example of Boeing 747 jet liner is employed to demonstrate the main results.

Suggested Citation

  • Zhongxing Peng & Ying Yang, 2012. "Evaluation of Input Redundancies on Linear Quadratic Regulator Problems," Journal of Optimization Theory and Applications, Springer, vol. 155(1), pages 325-335, October.
    • Handle: RePEc:spr:joptap:v:155:y:2012:i:1:d:10.1007_s10957-012-0054-1
    DOI: 10.1007/s10957-012-0054-1
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    References listed on IDEAS

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    1. Zhongxing Peng & Ying Yang & Lin Huang, 2011. "The Effects of Adding Input Redundancies in Linear Quadratic Regulator Problems," Journal of Optimization Theory and Applications, Springer, vol. 150(2), pages 341-359, August.
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