Design of Adaptive Fuzzy Fixed-Time HOSM Controller Subject to Asymmetric Output Constraints

• Published in: IEEE transactions on fuzzy systems Vol. 31; no. 9; pp. 1 - 11
• Main Authors: Ma, Li, Mei, Keqi, Ding, Shihong, Pan, Tianhong
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.09.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptive control; adaptive fuzzy control; Adaptive systems; Asymmetry; Convergence; fixed-time stability; Fuzzy control; Fuzzy logic; Fuzzy systems; High-order sliding mode; Liapunov functions; output constraint; Stability analysis; Uncertainty; Upper bound
• ISSN: 1063-6706; 1941-0034
• DOI: 10.1109/TFUZZ.2023.3241147

This paper is concerned with the control design of adaptive fuzzy fixed-time high-order sliding mode (HOSM) under asymmetric output constraints. The main objective of the paper is to construct a control scheme to build the HOSM in a fixed time and fulfill the pre-set constraint condition. For this purpose, initially to conquer this obstacle regarding the output constraint, a barrier Lyapunov function is developed to keep the output variable within the predefined constraint during operation. Then, the unknown functional bounds of uncertainties in the considered system are modeled by invoking fuzzy logic systems. With the integrated use of adaptive fuzzy control and backstepping-like techniques, a novel protocol for the fixed-time HOSM control with asymmetric output constraints is developed. Through the strictly theoretical clarification, the HOSM is fixed-time established under the suggested control strategy. The effectiveness of the derived results is eventually testified by some comparative simulation results.