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A Local Feedback Control Bringing a Linear System to Equilibrium

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Abstract

We design a bounded feedback control that steers a controllable linear system to equilibrium in a finite time. The procedure amounts to solving several linear-algebraic problems, including linear matrix inequalities. We solve these problems in an efficient way. The resulting steering time and the minimum time have the same order of magnitude.

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Acknowledgments

This work was partially supported by the Russian Foundation for Basic Research, Grant 14-08-00606.

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Authors and Affiliations

  1. IPMech, RAS, Moscow, Russia

    Alexander Ovseevich

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  1. Alexander Ovseevich
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Correspondence to Alexander Ovseevich.

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Communicated by Felix L. Chernousko.

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Ovseevich, A. A Local Feedback Control Bringing a Linear System to Equilibrium. J Optim Theory Appl 165, 532–544 (2015). https://doi.org/10.1007/s10957-014-0636-1

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  • DOI: https://doi.org/10.1007/s10957-014-0636-1

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