Evaluation of Input Redundancies on Linear Quadratic Regulator Problems

Zhongxing Peng and Ying Yang ()
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Zhongxing Peng: Peking University
Ying Yang: Peking University

Journal of Optimization Theory and Applications, 2012, vol. 155, issue 1, No 18, 325-335

Abstract: 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.

Keywords: Linear optimal control problems; Linear-quadratic problems; Resource and cost allocation; Input redundancy (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10957-012-0054-1

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