Adaptive Fuzzy Tracking Control of Nonlinear Time-Delay Systems With Dead-Zone Output Mechanism Based on a Novel Smooth Model

• Published in: IEEE transactions on fuzzy systems Vol. 23; no. 6; pp. 1998 - 2011
• Main Authors: Zhi Liu, Guanyu Lai, Yun Zhang, Chen, C. L. Philip
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.12.2015; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptation models; Adaptive fuzzy control; Adaptive systems; Approximation methods; backstepping; barrier Lyapunov function; Control systems; Couplings; Delay effects; Lyapunov-Krasovskii function; Nonlinear systems; nonsymmetric dead-zone output; time delays; Adaptive fuzzy control; backstepping; barrier Lyapunov function (BLF); time delays; Lyapunov–Krasovskii function; nonsymmetric dead-zone output
• ISSN: 1063-6706; 1941-0034
• DOI: 10.1109/TFUZZ.2015.2396075

This paper presents a novel fuzzy adaptive controller for controlling a class of dead-zone output nonlinear systems with time delays. A new approximate model is first designed to describe a special dead-zone phenomenon encountered by the output mechanism of nonlinear systems, and the proposed smooth model can be conveniently fused with available adaptive fuzzy control techniques. In addition, the coupling effect that the dead-zone output and the time-delayed states coexist in a common coupling function makes the tracking control design more complicated. To further address this difficulty, a compensation method using mean-value theorem with Lyapunov-Krasovskii function is presented in this paper. By using the proposed output dead-zone model, and based on Lyapunov synthesis, a new optimized algorithm is developed to guarantee the prescribed convergence of tracking error and the boundedness of all the signals in the closed-loop systems. Simulations have been implemented to verify the performance of the proposed fuzzy adaptive controller.