Disturbance Attenuation Properties of Time-Controlled Switched Systems (2001)
| Venue: | ECC2001 |
| Citations: | 35 - 7 self |
BibTeX
@MISC{Zhai01disturbanceattenuation,
author = {Guisheng Zhai and Bo Hu and Kazunori Yasuda and Anthony N. Michel},
title = {Disturbance Attenuation Properties of Time-Controlled Switched Systems},
year = {2001}
}
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Abstract
In this paper, we investigate the disturbance attenuation properties of timecontrolled switched systems consisting of several linear time-invariant subsystems by using a dwell time approach incorporated with piecewise Lyapunov functions. First, we show that when all subsystems are Hurwitz stable and achieve a disturbance attenuation level smaller than # 0 , then the switched system can achieve any disturbance attenuation level larger than # 0 if the dwell time is chosen sufficiently large. This result is extended to the case where not all subsystems are Hurwitz stable, by showing that if the dwell time is chosen sufficiently large and the total activation time of unstable subsystems is relatively small compared with that of Hurwitz stable subsystems, then a desirable disturbance attenuation level is guaranteed. Finally, a discussion is made on the case for which nonlinear norm-bounded perturbations exist in the subsystems.
Keyphrases
disturbance attenuation property time-controlled switched system disturbance attenuation level dwell time total activation time piecewise lyapunov function unstable subsystem timecontrolled switched system desirable disturbance attenuation level switched system dwell time approach hurwitz stable subsystem nonlinear norm-bounded perturbation several linear time-invariant subsystem
