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A New Formulation and Solution of the Minimum Energy Control Problem of Positive 2D Continuous-Discrete Linear Systems

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Book cover Recent Advances in Automation, Robotics and Measuring Techniques

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 267))

Abstract

A new formulation of the minimum energy control problem for the positive 2D continuous-discrete linear systems is proposed. Necessary and sufficient conditions for the reachability of the systems are established. Conditions for the existence of the solution to the minimum energy control problem and procedures for computation of an input minimizing the given performance index are given. Effectiveness of the procedure is demonstrated on numerical example.

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Authors and Affiliations

  1. Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45D, 15-351, Bialystok, Poland

    Tadeusz Kaczorek

Authors
  1. Tadeusz Kaczorek
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Correspondence to Tadeusz Kaczorek .

Editor information

Editors and Affiliations

  1. Industrial Research Institute for Automation and Measurements PIAP, Warsaw, Poland

    Roman Szewczyk

  2. Industrial Research Institute for Automation and Measurements PIAP, Warsaw, Poland

    Cezary Zieliński

  3. Industrial Research Institute for Automation and Measurements PIAP, Warsaw, Poland

    Małgorzata Kaliczyńska

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Kaczorek, T. (2014). A New Formulation and Solution of the Minimum Energy Control Problem of Positive 2D Continuous-Discrete Linear Systems. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Recent Advances in Automation, Robotics and Measuring Techniques. Advances in Intelligent Systems and Computing, vol 267. Springer, Cham. https://doi.org/10.1007/978-3-319-05353-0_11

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  • DOI: https://doi.org/10.1007/978-3-319-05353-0_11

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-05352-3

  • Online ISBN: 978-3-319-05353-0

  • eBook Packages: EngineeringEngineering (R0)

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