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Evaluation of Input Redundancies on Linear Quadratic Regulator Problems

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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.

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Acknowledgements

This work was supported by the Natural Science Foundations of China (Nos. 61174052 and 90916003), the 973 Program of China (No. 2012CB821202).

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Authors and Affiliations

  1. State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing, 100871, China

    Zhongxing Peng & Ying Yang

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  1. Zhongxing Peng
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  2. Ying Yang
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Correspondence to Ying Yang.

Additional information

Communicated by Felix L. Chernousko.

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Peng, Z., Yang, Y. Evaluation of Input Redundancies on Linear Quadratic Regulator Problems. J Optim Theory Appl 155, 325–335 (2012). https://doi.org/10.1007/s10957-012-0054-1

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  • DOI: https://doi.org/10.1007/s10957-012-0054-1

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