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Optimal feedback design under bounded control

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Abstract

We study the static state feedback design problem for linear systems under given constraints on the magnitude of the control input. A quadratic performance index is constructed such that it is optimized by the synthesized control. The issues of fragility of the controller are analyzed; this phenomenon relates to the loss of the stabilizability property of a controller under small variations of its parameters. Linear matrix inequalities are used as a main technical tool.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    M. V. Khlebnikov & P. S. Shcherbakov

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  1. M. V. Khlebnikov
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  2. P. S. Shcherbakov
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Original Russian Text © M.V. Khlebnikov, P.S. Shcherbakov, 2014, published in Avtomatika i Telemekhanika, 2014, No. 2, pp. 177–192.

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Khlebnikov, M.V., Shcherbakov, P.S. Optimal feedback design under bounded control. Autom Remote Control 75, 320–332 (2014). https://doi.org/10.1134/S0005117914020118

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  • DOI: https://doi.org/10.1134/S0005117914020118

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