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Adaptive fuzzy control for pure-feedback systems with full state constraints and unknown nonlinear dead zone

Wenbin Xiao, Liang Cao, Guowei Dong and Qi Zhou

Applied Mathematics and Computation, 2019, vol. 343, issue C, 354-371

Abstract: In this paper, an adaptive control problem for a class of pure-feedback time-varying delay nonlinear systems with full state constraints and unknown dead zone is investigated. Differing from the full state constraints without considering the time-varying delay in nonlinear systems, a well defined Barrier Lyapunov-Krasovskii functional is designed to address the difficult in this paper. By defining a continuous function and combining with mean value theorem, system is modeled with dead zone. Furthermore, a novel adaptive control scheme is developed based on recursive backstepping method. It is proved that the proposed approach can guarantee a desired tracking performance and semi-global asymptotically stability of the closed-loop system. Finally, some simulation results are given to verify the effectiveness of the proposed strategy.

Keywords: Pure-feedback systems; Full state constraints; Barrier Lyapunov functions; Dead zone; Time-varying delay (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:343:y:2019:i:c:p:354-371

DOI: 10.1016/j.amc.2018.09.016

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