Prescribed performance adaptive neural tracking control for strict-feedback Markovian jump nonlinear systems with time-varying delay |
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Authors: | Ru Chang Yi-ming Fang Le Liu Ke-song Kang |
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Affiliation: | 1.Key Lab of Industrial Computer Control Engineering of Hebei Province,Yanshan University,Qinhuangdao,P. R. China;2.Department of Automation,Shanxi University,Taiyuan,P. R. China;3.National Engineering Research Center for Equipment and Technology of Cold Strip Rolling,Qinhuangdao,P. R. China;4.HBIS Group tang steel corp,Tangshan,P.R. China |
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Abstract: | A prescribed performance adaptive neural tracking control problem is investigated for strict-feedback Markovian jump nonlinear systems with time-varying delay. First, a new prescribed performance constraint variable is proposed to generate the virtual control that forces the tracking error to fall within prescribed boundaries. Combining with the approximation capability of neural networks and backstepping design, the adaptive tracking controller is designed. The designed controller is independent on time delay by constructing appropriate Lyapunov functions to offset the unknown time-varying delays. It is proved that the closed-loop system is uniformly ultimately bounded in probability, and that both steady-state and transient-state performances are guaranteed. Finally, simulation results are given to illustrate the effectiveness of the proposed approach. |
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