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Gain Scheduled Fault Detection Filter for Markovian Jump Linear System with Nonhomogeneous Markov Chain

Author

Listed:
  • Leonardo Carvalho

    (Departamento de Engenharia de Telecomunicacções e Controle, Escola Politécnica na Universidade de São Paulo, São Paulo 05508-010, SP, Brazil)

  • Jonathan M. Palma

    (Facultad de Ingeniería, Universidad de Talca, Curico 3340000, Maule, Chile)

  • Cecília F. Morais

    (Pontifical Catholic University of Campinas (PUC-Campinas), Center for Exact, Environmental and Technological Sciences (CEATEC), Postgraduate Program in Telecommunication Networks Management, Campinas 13086-900, SP, Brazil)

  • Bayu Jayawardhana

    (Engineering and Technology Institute Groningen, Faculty of Science and Engineering, Rijksuniversiteit Groningen, 9747 AG Groningen, The Netherlands)

  • Oswaldo L. V. Costa

    (Departamento de Engenharia de Telecomunicacções e Controle, Escola Politécnica na Universidade de São Paulo, São Paulo 05508-010, SP, Brazil)

Abstract

In a networked control system scenario, the packet dropout is usually modeled by a time-invariant (homogeneous) Markov chain (MC) process. However, from a practical point of view, the probabilities of packet loss can vary in time and/or probability parameter dependency. Therefore, to design a fault detection filter (FDF) implemented in a semi-reliable communication network, it is important to consider the variation in time of the network parameters, by assuming the more accurate scenario provided by a nonhomogeneous jump system. Such a premise can be properly taken into account within the linear parameter varying (LPV) framework. In this sense, this paper proposes a new design method of H ∞ gain-scheduled FDF for Markov jump linear systems under the assumption of a nonhomogeneous MC. To illustrate the applicability of the theoretical solution, a numerical simulation is presented.

Suggested Citation

  • Leonardo Carvalho & Jonathan M. Palma & Cecília F. Morais & Bayu Jayawardhana & Oswaldo L. V. Costa, 2023. "Gain Scheduled Fault Detection Filter for Markovian Jump Linear System with Nonhomogeneous Markov Chain," Mathematics, MDPI, vol. 11(7), pages 1-21, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:7:p:1713-:d:1114943
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