Reference
S. Yuan, B. De Schutter, and S. Baldi, "Robust adaptive tracking control of
uncertain slowly switched linear systems,"
Nonlinear Analysis:
Hybrid Systems, vol. 27, pp. 1-12, Feb. 2018.
Abstract
In this paper, robust adaptive tracking control schemes for uncertain switched
linear systems subject to disturbances are investigated. The robust adaptive
control problem requires the design of both adaptive and switching laws. A
novel adaptive law is proposed based on an extended leakage approach, which
does not require knowledge of the bounds of the uncertainty set. Two switching
laws are developed based on extended dwell time (DT) strategies: a)
mode-dependent dwell time (MDDT); b) mode-mode-dependent dwell time (MMDDT).
MDDT exploits the information of the known reference model for every subsystem,
i.e., the dwell time is realized in a subsystem sense. MMDDT is a variant of
MDDT that can guarantee stability under faster switching than MDDT, provided
that the next subsystem to be switched on is known. The proposed adaptive
schemes can achieve global uniform ultimate boundedness for shorter switching
intervals than state-of-the-art adaptive approaches based on DT. In addition to
global uniform ultimate bounded stability, transient and steady-state
performance bounds are derived for the tracking error. The numerical example of
a highly maneuverable aircraft technology vehicle is adopted to demonstrate the
effectiveness of the proposed adaptive methods.
Publisher page
Downloads
BibTeX
@article{YuaDeS:17-019,
author = {Yuan, Shuai and De Schutter, Bart and Baldi, Simone},
title = {Robust Adaptive Tracking Control of Uncertain Slowly Switched
Linear Systems},
journal = {Nonlinear Analysis: Hybrid Systems},
volume = {27},
pages = {1--12},
month = feb,
year = {2018}
}