Abstract
This paper studies the problem of adaptive fuzzy proportional-integral (PI) tracking control for a class of switched nonlinear systems with dead-zone input, unknown nonlinear functions and external disturbances. By using backstepping method with fuzzy logic systems, a set of adaptive fuzzy PI tracking controllers are proposed, which have a simple structure and a clear physical meaning. The designed controllers don't need priori information of dead-zone input via introducing Nussbaum function scheme. To enhance the tracking performance, the prescribed performance technique is utilized to constrain the tracking error. The stability analysis of the closed-loop switched systems is established via common Lyapunov function, and the tracking error remains within a prescribed bound and all signals of the closed-loop system are bounded. Finally, the effectiveness of the scheme is verified by two examples.
Highlights
Switched systems, as a special type of hybrid systems, contain a set of subsystems and a switching rule that arranges switching among subsystems [1]–[7]
The stabilization or tracking problems are investigated for switched nonlinear systems by combining backstepping method and common Lyapunov function technique [12]–[15]
Inspired by the above discussion that it is significant from the perspective of both practical application and theory to study the problem of adaptive prescribed performance PI tracking control for switched nonlinear systems with dead-zone input, which motivates us for this study
Summary
As a special type of hybrid systems, contain a set of subsystems and a switching rule that arranges switching among subsystems [1]–[7]. As far as we know, there are scarcely results studying the prescribed performance PI controller design for switched nonlinear systems with unknown functions and dead-zone input. This is an open problem and needs to be further discussed. Inspired by the above discussion that it is significant from the perspective of both practical application and theory to study the problem of adaptive prescribed performance PI tracking control for switched nonlinear systems with dead-zone input, which motivates us for this study. An adaptive fuzzy PI tracking controller with prescribed performance is constructed for a class of switched nonlinear systems with dead-zone input, external disturbances.
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