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Finite-Time Control Problem

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Book cover Advances in the Control of Markov Jump Linear Systems with No Mode Observation

Part of the book series: SpringerBriefs in Electrical and Computer Engineering ((BRIEFSCONTROL))

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Abstract

In this chapter, we present the finite-time control problem of Markov jump linear systems for the case in which the controller does not have access to the state of the Markov chain. A necessary optimal condition, which is nonlinear with respect to the optimizing variables, is introduced and the corresponding solution is obtained through a variational convergent method. We illustrate the practical usefulness of the derived approach by applying it in the speed control of a real DC motor device subject to abrupt power failures.

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Authors and Affiliations

  1. Electrotechnical Department, Universidade Tecnológica Federal do Paraná, UTFPR, Cornelio Procópio, Paraná, Brazil

    Alessandro N. Vargas

  2. Departmento de Matemática Aplicada e Estatística, Universidade de São Paulo, USP, São Carlos, São Paulo, Brazil

    Eduardo F. Costa

  3. FEEC, Universidade Estadual de Campinas, Campinas, São Paulo, Brazil

    João B. R. do Val

Authors
  1. Alessandro N. Vargas
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  2. Eduardo F. Costa
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  3. João B. R. do Val
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Correspondence to Alessandro N. Vargas .

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Vargas, A.N., Costa, E.F., do Val, J.B.R. (2016). Finite-Time Control Problem. In: Advances in the Control of Markov Jump Linear Systems with No Mode Observation. SpringerBriefs in Electrical and Computer Engineering(). Springer, Cham. https://doi.org/10.1007/978-3-319-39835-8_2

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  • DOI: https://doi.org/10.1007/978-3-319-39835-8_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-39834-1

  • Online ISBN: 978-3-319-39835-8

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