Event-Triggered Fuzzy Control of Repeated Scalar Nonlinear Systems and its Application to Chua's Circuit System
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Author list: Wen Y., Chang H., Su X., Assawinchaichote W.
Publisher: Institute of Electrical and Electronics Engineers
Publication year: 2020
Journal: IEEE Transactions on Circuits and Systems I: Regular Papers (1549-8328)
Volume number: 67
Issue number: 12
Start page: 5347
End page: 5357
Number of pages: 11
ISSN: 1549-8328
eISSN: 1558-0806
Languages: English-Great Britain (EN-GB)
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Abstract
This paper addresses the problem of event-triggered H∞ control for continuous Takagi-Sugeno fuzzy systems with repeated scalar nonlinearities. A feasible stability solution is first proposed based on the fuzzy-rule-dependent Lyapunov functional methods and positive definite diagonally dominant matrix techniques, which not only reduces the conservativeness of the resulting closed-loop dynamic system, but also ensures the concerned fuzzy system is asymptotically stable with a specified H∞ disturbance attenuation performance. Then, sufficient conditions are presented for the existence of admissible state-feedback controller, and the cone complementarity linearization approach is employed to convert the non-convex feasibility problem into a sequential minimization one subject to linear matrix inequalities, which can be validly solved by employing standard numerical software. In the end, a numerical example and a Chua's chaotic circuit system are provided to show the applicability of the proposed theories. © 2004-2012 IEEE.
Keywords
Chua's circuit system, repeated scalar nonlinearities
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