Asynchronous Control of Continuous-Time Nonlinear Markov Jump Systems Subject to Strict Dissipativity

This paper addresses the strictly dissipative control problem for continuous-time nonlinear Markov jump systems via Takagi-Sugeno fuzzy rules. The modes of a devised fuzzy controller are assumed to run asynchronously with the modes of original system, which is widespread in practice and described th...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 64; no. 3; pp. 1250 - 1256
Main Authors Dong, Shanling, Wu, Zheng-Guang, Su, Hongye, Shi, Peng, Karimi, Hamid Reza
Format Journal Article
LanguageEnglish
Published New York IEEE 01.03.2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Asynchronous control
Closed loop systems
Controllers
Feedback control
Fuzzy control
fuzzy rules
Fuzzy systems
Hidden Markov models
Markov chains
Markov jump systems
Markov processes
Nonlinear control
Nonlinear systems
Stability analysis
strict dissipativity
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Summary:This paper addresses the strictly dissipative control problem for continuous-time nonlinear Markov jump systems via Takagi-Sugeno fuzzy rules. The modes of a devised fuzzy controller are assumed to run asynchronously with the modes of original system, which is widespread in practice and described through a hidden Markov model. A sufficient condition is acquired to ensure the stochastic stability and strict dissipativity of the closed-loop systems, based on which the design method of an asynchronous fuzzy controller is provided. Finally, one example is presented to illustrate the effectiveness and new features of the proposed design techniques.
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2018.2846594