Adaptive tracking control for a class of switched uncertain nonlinear systems under a new state-dependent switching law. (May 2017)

• Record Type: Journal Article
• Authors: Zhai, Ding; Lu, An-Yang; Ye, Dan; Zhang, Qing-Ling
• Is Part Of: Nonlinear analysis. Volume 24(2017)
• Page Start: 227
• Page End: 243
• Publication Date: 2017-05
• Subjects: Switched nonlinear systems -- Adaptive backstepping -- State-dependent switching law -- Common Lyapunov function -- Dynamic surface control; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2017.01.005
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper deals with the problem of adaptive fuzzy tracking control for a class of switched uncertain nonlinear systems. Fuzzy logic systems are utilized to approximate the unknown nonlinear functions, and the adaptive backstepping and dynamic surface control techniques are adopted. First, a new state-dependent switching method is proposed. By introducing convex combination technique and designing a state-dependent switching law, only the solvability of the adaptive tracking control problem for a convex combination of the subsystems is necessary. Second, a new common Lyapunov function with switched adaptive parameters is constructed to reduce the conservatism. Third, to avoid Zeno behavior, a modified state-dependent switching law with dwell time is proposed. It is shown that under the proposed control and switching laws, all the signals of the closed-loop system are bounded and all the state tracking errors can converge to a priori accuracy, even if some subsystems are uncontrollable. Finally, the effectiveness of the proposed method is illustrated through two simulation examples.