Paper Info
Title
Adaptive Output Tracking Control of Piecewise Affine Systems With Prescribed Performance
Abstract
In this article, we investigate the adaptive output tracking control for multiinput–multioutput piecewise affine systems with prescribed performance. Both direct and indirect adaptation approaches are studied. Given a desired trajectory, both control approaches ensure the output tracking error to be confined within a performance bound, which prescribes the steady-state tracking error as well as the transient behavior, such as decaying rate and overshoot. We establish novel common Lyapunov functions without solving the conventional Lyapunov equations. Based on these common Lyapunov functions, the stability of the closed-loop system under arbitrary switching is established. Furthermore, the parameter convergence for both direct and indirect approaches is proved under the persistently exciting condition of the input signals. The dynamic gain adjustment technique is incorporated to counter the singularity problem in the indirect adaptation case. Finally, the numerical simulation validates the effectiveness and correctness of the proposed approaches in both direct and indirect adaptation cases.
Year
DOI
Venue
2022
10.1109/TSMC.2021.3122982
IEEE Transactions on Systems, Man, and Cybernetics: Systems
Keywords
DocType
Volume
Adaptive control,hybrid systems,piecewise affine (PWA) systems,prescribed performance
Journal
52
Issue
ISSN
Citations 
9
2168-2216
0
PageRank 
References 
Authors
0.34
24
3
Name
Order
Citations
PageRank
Tong Liu14712.77
Yufeng Gao200.34
Martin Buss31799159.02