TY - JOUR
T1 - Stability analysis of switched systems with stable and unstable subsystems
T2 - An average dwell time approach
AU - Zhai, Guisheng
AU - Hu, Bo
AU - Yasuda, Kazunori
AU - Michel, Anthony N.
PY - 2001
Y1 - 2001
N2 - We study the stability properties of switched systems consisting of both Hurwitz stable and unstable linear time-invariant subsystems using an average dwell time approach. We propose a class of switching laws so that the entire switched system is exponentially stable with a desired stability margin. In the switching laws, the average dwell time is required to be sufficiently large, and the total activation time ratio between Hurwitz stable subsystems and unstable subsystems is required to be no less than a specified constant. We also apply the result to perturbed switched systems where nonlinear vanishing or non-vanishing norm-bounded perturbations exist in the subsystems, and we show quantitatively that, when norms of the perturbations are small, the solutions of the switched systems converge to the origin exponentially under the same switching laws.
AB - We study the stability properties of switched systems consisting of both Hurwitz stable and unstable linear time-invariant subsystems using an average dwell time approach. We propose a class of switching laws so that the entire switched system is exponentially stable with a desired stability margin. In the switching laws, the average dwell time is required to be sufficiently large, and the total activation time ratio between Hurwitz stable subsystems and unstable subsystems is required to be no less than a specified constant. We also apply the result to perturbed switched systems where nonlinear vanishing or non-vanishing norm-bounded perturbations exist in the subsystems, and we show quantitatively that, when norms of the perturbations are small, the solutions of the switched systems converge to the origin exponentially under the same switching laws.
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U2 - 10.1080/00207720116692
DO - 10.1080/00207720116692
M3 - Article
AN - SCOPUS:0035437203
VL - 32
SP - 1055
EP - 1061
JO - International Journal of Systems Science
JF - International Journal of Systems Science
SN - 0020-7721
IS - 8
ER -