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Multiple delay-dependent H∞ guaranteed cost control for uncertain semi-Markovian jump random nonlinear systems with intermittent actuator and sensor faults and input constraint

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  • Shaoxin Sun
  • Huaguang Zhang
  • Junyi Wang
  • Baopeng Zhu

Abstract

In this study, multiple delay-dependent $H_\infty $ guaranteed cost control is first investigated for uncertain semi-Markovian jump random nonlinear systems with intermittent actuator and sensor faults and input constraint. First, a semi-Markovian jump dynamic output feedback controller is first designed for this model. Multiple delay-dependent noise-to-state stochastic stability conditions are acquired by involving slack matrices by means of bounded real lemma (BRL) as well as linear matrix inequalities (LMIs), leading to the less conservatism. $H_\infty $ control and guaranteed cost control are achieved simultaneously. Finally, the effectiveness and novelty of the approach are demonstrated through three examples.

Suggested Citation

  • Shaoxin Sun & Huaguang Zhang & Junyi Wang & Baopeng Zhu, 2021. "Multiple delay-dependent H∞ guaranteed cost control for uncertain semi-Markovian jump random nonlinear systems with intermittent actuator and sensor faults and input constraint," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(1), pages 57-85, January.
  • Handle: RePEc:taf:tsysxx:v:52:y:2021:i:1:p:57-85
    DOI: 10.1080/00207721.2020.1819468
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