Adaptive fuzzy finite-time decentralized control for large-scale stochastic nonlinear systems |
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| Authors: | Libin Wang Huanqing Wang Peter X Liu |
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| Affiliation: | 1. School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing, China;2. School of Mathematical Sciences, Bohai University, Jinzhou, China;3. Department of Systems and Computer Engineering, Carleton University, Ottawa, Ontario, Canada |
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| Abstract: | An adaptive finite-time decentralized control algorithm for a class of large-scale stochastic nonlinear systems is presented. The fuzzy logic system is used to estimate uncertain nonlinearities. One advantage of the developed scheme is that each subsystem only needs to update one adaptive parameter, which alleviates the burden of online estimation. The dynamic surface control method is employed to reduce the “complexity explosion” caused by the repetitive derivation of the intermediate variable function in the backstepping control scheme. A new decentralized controller is designed so that all signals of the controlled system are bounded and the tracking error converges to a small residual set around the origin within a finite time. The simulation results of a numerical example illustrate the effectiveness of the method. |
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| Keywords: | decentralized control dynamic surface control finite-time convergence |
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