Prescribed Performance Fuzzy Adaptive Output Feedback Control for Nonlinear MIMO Systems in a Finite Time

• Published in: IEEE transactions on fuzzy systems Vol. 30; no. 9; pp. 3633 - 3644
• Main Authors: Sui, Shuai, Xu, Hao, Tong, Shaocheng, Chen, C. L. Philip
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.09.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptive algorithms; Adaptive control; Closed loop systems; Control algorithms; Control design; Control methods; Control theory; Dynamical systems; Feedback control; Finite-time control; full-states prescribed performance; fuzzy adaptive control; Fuzzy control; Fuzzy logic; Fuzzy systems; Intelligent control; Liapunov functions; Linear filters; MIMO communication; multi-input–multi-output (MIMO) nonlinear systems; Nonlinear control; Nonlinear dynamics; Nonlinear filters; Nonlinear systems; Output feedback; output feedback control; Stability analysis; Stability criteria; State observers
• ISSN: 1063-6706; 1941-0034
• DOI: 10.1109/TFUZZ.2021.3119750

This article studies the fuzzy adaptive output feedback control design problem for nonstrict feedback multi-input-multi-output nonlinear systems with full-states prescribed performance in finite time. Fuzzy logic systems are introduced to solve the problem of unknown nonlinear dynamics. And on this basis, a fuzzy-based state observer is designed to observe the unmeasurable state. Further, by combining the adaptive back-stepping control algorithm and the nonlinear filters, a novel dynamic surface control (DSC) method is proposed, which not only solves the computational complexity explosion problem inherent in the back-stepping control algorithm, but also improves the control performance, in contrast to the traditional DSC methods with linear filters. Besides, to further improve the tracking performance under the structure of full-states prescribed performance, a new Lyapunov function is designed considering the transform error constraint. Based on the Lyapunov theory, the stability of the closed-loop system is analyzed to ensure that all signals of the closed-loop system are semiglobal practical finite-time stability. Finally, to elaborate on the feasibility and effectiveness of the proposed control method, a simulation example is provided.