Adaptive control for uncertain nonlinear systems with state-function constraints and input delay

Lihong Gao, Zhibao Song, Zhen Wang and Ping Li

Applied Mathematics and Computation, 2023, vol. 457, issue C

Abstract: The adaptive control problem is studied for nonlinear systems with asymmetric full state-function constraints, unknown control gains, input delay and external disturbances in this paper. Firstly, the effect of input time delay is removed by using Laplace transform and Pade approximation. Then, Nussbaum function and fuzzy logic system (FLS) are recommended to dispose unknown control gains and unknown nonlinear functions, respectively. By incorporating barrier Lyapunov function (BLF) into the backstepping idea, a new adaptive fuzzy controller is presented such that the tracking error finally fluctuates near the origin and all signals of the closed-loop system are bounded. Meanwhile, the asymmetric full state-function constraints do not violate. Ultimately, a numerical example is used to explain the feasibility of the devised control scheme.

Keywords: Fuzzy logic system; Adaptive control; Input delay; Unknown control gains; Asymmetric state-function constraints (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:457:y:2023:i:c:s0096300323003697

DOI: 10.1016/j.amc.2023.128200

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