Adaptive Fixed-Time Command-Filtered Fuzzy Control for Nonlinear Stochastic Systems Subject to Saturating Input and Its Application to the Electromechanical System

• Published in: International journal of fuzzy systems Vol. 27; no. 3; pp. 950 - 965
• Main Authors: Liu, Siwen, Gao, Xiaoyang, Xiao, Yang, Wang, Huanqing, Li, Tieshan, Philip Chen, C. L.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2025; Springer Nature B.V
• Subjects: Adaptive control; Artificial Intelligence; Computational Intelligence; Control methods; Control systems design; Controllers; Engineering; Explosions; Fuzzy control; Fuzzy logic; Fuzzy systems; Management Science; Nonlinear control; Nonlinear systems; Operations Research; Stochastic systems; Tracking errors; Fixed-time command filter; Fixed-time control; Saturating input; Fuzzy logic systems; Stochastic nonlinear systems
• ISSN: 1562-2479; 2199-3211
• DOI: 10.1007/s40815-024-01820-1

This paper presents an adaptive fixed-time command-filtered fuzzy controller design method of nonlinear stochastic systems subject to saturating input. Fuzzy logic systems (FLSs) can be utilized to fit the uncertainties. Inverse function theory is first introduced to tackle the design obstacle that exists in the input terminal, that is, saturating input. In particular, an improved fixed-time filter can be obtained to avert the difficulty of complexity explosion when the classic backstepping control strategy is adopted. Due to the adaptive control method, an adaptive fixed-time command-filtered fuzzy controller is proposed. The designed controller can assure that the states contained in nonlinear stochastic systems are bounded and the tracking error can tend to a small interval near the original point within the time interval. Finally, two examples are provided to further demonstrate the effectiveness of the controller design strategy.