Abstract
This paper is concerned with the problem of adaptive fuzzy control for a class of uncertain nonlinear strict-feedback systems. The considered systems contain uncertain state delay and input delay simultaneously. By utilizing the mean value theorem, the unknown time-delayed functions related to all state variables are dealt with. A novel adaptive filter is designed to eliminate the effect of the time-varying input delay. Based on the backstepping technique, a delay-lower-bound-based adaptive fuzzy memory control scheme is developed. It is proved that the proposed adaptive memory control method can guarantee that all the signals in the closed-loop system are bounded and the tracking error converges to a small neighborhood of the origin. A simulation example is given to demonstrate the effectiveness of the proposed control scheme.
Highlights
Over the past decades, adaptive control has become a mature and well-established research area within control systems society
Reference [ ] proposed adaptive fuzzy backstepping dynamic surface control for uncertain nonlinear systems based on filters
To the best of our knowledge, there are few results for the case where an adaptive fuzzy memory controller is designed for uncertain nonlinear strict-feedback systems with state and input delays
Summary
Adaptive control has become a mature and well-established research area within control systems society. Reference [ ] proposed adaptive fuzzy backstepping dynamic surface control for uncertain nonlinear systems based on filters. To improve the transient performance of adaptive systems by tuning the design parameters, by further combining appropriately Lyapunov-Krasovskii functionals with adaptive backstepping technique, adaptive control method is developed for uncertain nonlinear strict-feedback systems with time delays [ – ]. To the best of our knowledge, there are few results for the case where an adaptive fuzzy memory controller is designed for uncertain nonlinear strict-feedback systems with state and input delays. Motivated by the aforementioned observations, in this paper, the problem of adaptive fuzzy memory control is investigated for a class of uncertain nonlinear strict-feedback systems with state and input delays. Combining an adaptive control methodology with the backstepping technique, a delay-lower-bound-based adaptive fuzzy memory controller by considering the history information of states is designed.
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