Variable structure model reference adaptive control of unknown switched linear systems with relative degree greater than one
Journal
Proceedings of the IEEE Conference on Decision and Control
Pages
4240-4245
Date Issued
2009
Author(s)
Chiang, Ming-Li
Abstract
In this paper, we consider the model reference adaptive control (MRAC) problem of switched linear systems in which the parameters and switching time instants are all unknown. We apply the output feedback variable structure (VS) based adaptive controller to switched linear systems with general relative degrees and show error convergence and signal boundedness properties by multiple Lyapunov functions. Specifically, a sufficient condition on the switching signal is obtained to ensure stability and error convergence of the system. Incidentally, the robustness and performance of VS adaptive controllers of the systems with jump parameters, which are only seen by simulations in existing literatures, are shown by thorough theoretical analysis. Simulation results are provided to validate the analysis. ©2009 IEEE.
Event(s)
48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Other Subjects
Controllers; Linear systems; Lyapunov functions; Adaptive controllers; Boundedness properties; Error convergence; Multiple Lyapunov function; Switched linear system; Switching signals; Variable structure model; Variable structures; Model reference adaptive control
Type
conference paper