Tracking control for switched time-varying delays systems with stabilizable and unstabilizable subsystem
Date
2009
Authors
Li, Qing-Kui
Zhao, Jun
Dimirovski, Georgi
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
We investigate the tracking control problem for switched linear time-varying delays systems with stabilizable and unstabilizable subsystems. Sufficient conditions for the solvability of the tracking control problem are developed. The tracking control problem of a switched time-varying delays system with stabilizable and unstabilizable subsystems is solvable if the stabilizable and unstabilizable subsystems satisfy certain conditions and admissible switching law among them. Average dwell time approach and piecewise Lyapunov functional methods are utilized to the stability analysis and controller design. By introducing the integral controllers and free weighting matrix scheme, some restricted assumptions imposing on the switched systems are avoided. A simulation example shows the effectiveness of the proposed method.
Description
Keywords
Keywords: Average dwell-time approaches; Controller designs; Free-weighting matrices; Integral controllers; Linear time-varying; Piecewise Lyapunov functional; Simulation examples; Stability analysis; Sufficient conditions; Switched systems; Switching laws; Time-de Switched systems; Time-delays systems; Tracking control
Citation
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Source
Nonlinear Analysis: Hybrid Systems
Type
Journal article