Adaptive tracking control of uncertain constrained nonlinear systems with input saturation

• Published in: Communications in nonlinear science & numerical simulation Vol. 127; p. 107553
• Main Authors: Gao, Lihong, Song, Zhibao, Wang, Zhen
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.12.2023
• Subjects: Input saturation; Nonlinear systems; State function constraints; Unknown control gains (UCG); Unknown control gains (UCG); Input saturation; Nonlinear systems; State function constraints
• ISSN: 1007-5704; 1878-7274
• DOI: 10.1016/j.cnsns.2023.107553

In this paper, the adaptive tracking control problem is investigated of uncertain nonlinear systems with input saturation, asymmetric state-function constraints and unknown control gains (UCG). The hyperbolic tangent function is used to deal with input saturation, and the original system is equivalent to a new system with explicit control input. Nussbaum function and fuzzy logic system (FLS) are simultaneously employed to process UCG and uncertain nonlinear functions, respectively. Integrating the barrier Lyapunov function (BLF), a new adaptive fuzzy controller is designed to ensure that all the signals of the closed-loop system are bounded and the states do not violate asymmetric function constraints. Meanwhile, the tracking error converges near the origin. Finally, the availability of the proposed control scheme is demonstrated by two examples. •A class of more general constrained nonlinear system is the first time to be considered.•The FLS is introduced to handle uncertainties and simplify the form of controller.•Based on time-varying asymmetric BLF, an adaptive controller is designed.