Decentralized adaptive interval type-2 fuzzy fixed-time event-triggered control for switched interconnected nonlinear systems via state-dependent switchings

IF 3.4 2区 数学 Q1 MATHEMATICS, APPLIED
Shi Li , Hongxiang Dai , Guobao Liu , Wenmin He , Ju H. Park
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引用次数: 0

Abstract

In this paper, a decentralized adaptive fuzzy fixed-time event-triggered control method is investigated for switched nonlinear interconnected systems (SNISs) under state-dependent switchings (SDSs). To deal with the problem that all the subsystems may be unstabilizable, the state-dependent switching method is introduced. The unknown nonlinear functions are approximated by interval type-2 fuzzy logic systems (IT2 FLSs). To guarantee the system’s convergent performance, a novel fixed-time event-triggered control scheme with a switching threshold event-triggering mechanism (ETM), which can exclude the singularity problem, is introduced. It is proven that all the states of the SNISs can be bounded in a fixed time. The lower bound of the event-triggering intervals is derived to rule out the Zeno behaviors. Finally, the simulation examples are presented to illustrate the effectiveness of the proposed control method.
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来源期刊
Communications in Nonlinear Science and Numerical Simulation
Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
CiteScore
6.80
自引率
7.70%
发文量
378
审稿时长
78 days
期刊介绍: The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.
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