Composite adaptive finite‐time fuzzy control for switched nonlinear systems with preassigned performance

• Published in: International journal of adaptive control and signal processing Vol. 37; no. 3; pp. 771 - 789
• Main Authors: Sun, Peng, Song, Xiaona, Song, Shuai, Stojanovic, Vladimir
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 01.03.2023
• Subjects: Adaptive control; Approximation; composite adaptive control; Disturbance observers; Error compensation; finite‐time prescribed performance; finite‐time stable; fractional‐order filter; Fuzzy control; Mathematical analysis; Nonlinear control; Nonlinear systems; Nonlinearity; piecewise switched nonlinear disturbance observer; Stability analysis; Tracking errors
• ISSN: 0890-6327; 1099-1115
• DOI: 10.1002/acs.3546

Summary This article investigates the composite adaptive fuzzy finite‐time prescribed performance control issue of switched nonlinear systems subject to the unknown external disturbance and performance requirement. First, by utilizing the compensation and prediction errors, the piecewise switched composite parameter update law is employed to improve the approximation accuracy of the unknown nonlinearity. Then, the improved fractional‐order filter and error compensation signal are introduced to cope with the influences caused by the explosive calculation and filter error, respectively. Meanwhile, the effect of the compound disturbances consisting of the unknown disturbances and approximation errors is reduced appropriately by designing the piecewise switched nonlinear disturbance observer. Moreover, stability analysis results prove that the proposed preassigned performance control scheme not only ensures that all states of the closed‐loop system are practical finite‐time bounded, but also that the tracking error converges to a preassigned area with a finite time. Ultimately, the simulation examples are given to demonstrate the effectiveness of the proposed control strategy.