Finite-time control for periodic systems with Markov jump sensor nonlinearities and random input gains

Finite-time control for periodic systems with sensor nonlinearities and random input gains is addressed in this work. The variation of sensor nonlinearities is modeled by a Markov chain, and a stochastic variable is used to describe the influence of the actuator. A mode- and sensor nonlinearity-depe...

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Bibliographic Details
Published inJournal of the Franklin Institute Vol. 355; no. 10; pp. 4097 - 4110
Main Authors Rao, Hong-Xia, Xu, Yong, Liu, Chang, Li, Jun-Yi
Format Journal Article
LanguageEnglish
Published Elmsford Elsevier Ltd 01.07.2018
Elsevier Science Ltd
Subjects
Control systems design
Controllers
Fragility
Markov analysis
Markov chains
Mathematical analysis
Motors
Nonlinear systems
Performance enhancement
Stochastic models
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Summary:Finite-time control for periodic systems with sensor nonlinearities and random input gains is addressed in this work. The variation of sensor nonlinearities is modeled by a Markov chain, and a stochastic variable is used to describe the influence of the actuator. A mode- and sensor nonlinearity-dependent non-fragile controller is designed to improve the performance and the non-fragility of the controller. The finite-time boundedness of the closed-loop system is ensured by a sufficient condition, the corresponding controller is then designed. Finally, the effectiveness of the developed results is illustrated by a numerical example.
ISSN:0016-0032
1879-2693
0016-0032
DOI:10.1016/j.jfranklin.2018.03.014