Journal
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
Volume 22, Issue 1, Pages 35-45Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s40815-019-00773-0
Keywords
Semi-global practical finite-time stable; Nonlinear Hamiltonian systems; Fuzzy systems; Adaptive event-triggered approach
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This paper is to present our new results on practical finite-time fuzzy control scheme for a class of Hamiltonian systems by an adaptive event-triggered approach. An unknown function of the system is approximated by an adaptive fuzzy system. According to a semi-global practical finite-time stability criterion, a novel adaptive fuzzy finite-time controller is presented. In the interest of saving resources, an event-triggered approach is developed where the controller is updated under the respective triggering conditions. Based on the special structure of Hamiltonian systems and Lyapunov theory, a sufficient condition is obtained so that the states of original systems converge to a small neighborhood containing the origin in a finite time. Meanwhile, with the proposed controller, there exists a positive lower bound for the interexecution time, and the Zeno phenomenon is avoided. The design processes of the proposed controller, adaptive law and event-triggered conditions are also proved by a circuit system simulation example.
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