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

Shaoxin Sun, Huaguang Zhang, Junyi Wang and Baopeng Zhu

International Journal of Systems Science, 2021, vol. 52, issue 1, 57-85

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.

Date: 2021
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DOI: 10.1080/00207721.2020.1819468

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