Sparse control for continuous‐time systems

  • Masaaki Nagahara
    Institute of Environmental Science and Technology The University of Kitakyushu Fukuoka Japan

説明

<jats:title>Abstract</jats:title><jats:p>In this survey article, we give a comprehensive review of sparse control for continuous‐time systems, called maximum hands‐off control. The maximum hands‐off control is the <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/rnc5858-math-0001.png" xlink:title="urn:x-wiley:rnc:media:rnc5858:rnc5858-math-0001" /> optimal control, for which we introduce fundamental properties such as necessary conditions, existence, and equivalence to the <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/rnc5858-math-0002.png" xlink:title="urn:x-wiley:rnc:media:rnc5858:rnc5858-math-0002" /> optimal control. We also show an efficient numerical computation algorithm for the maximum hands‐off control based on the time discretization and ADMM (alternating direction method of multipliers). A numerical example is shown with an available MATLAB program.</jats:p>

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