Journal
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
Volume 67, Issue 12, Pages 5347-5357Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSI.2020.2998470
Keywords
H-infinity fuzzy control; repeated scalar nonlinearities; event-triggered technique; Chua's circuit system
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Funding
- National Key Research and Development Program of China [2019YFB1312002]
- National Natural Science Foundation of China [61772095]
- Chongqing Science Fund for Outstanding Young Scholars [cstc2019jcyjjqX0015]
- Fundamental Research Funds for the Central Universities [cqu2018CDHB1A06, 2019CDCGZDH207, 2019CDYGZD010]
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This paper addresses the problem of event-triggered H-infinity 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-infinity 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.
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