We consider quadratic stabilizability and H∞ disturbance attenuation of switched systems which are composed of a finite set of linear time-invariant subsystems. The situation is that none of the subsystems is quadratically stable with certain H∞ disturbance attenuation level but a convex combination of the subsystems achieves such performance. We then design a state-dependent switching signal (state feedback) and an output-dependent switching signal (output feedback) such that the entire switched system is quadratically stable with the same H∞ disturbance attenuation level. In the case of state feedback, when the number of subsystems is two, we show that the existence of desired convex combination of subsystems is not only sufficient but also necessary for quadratic stabilizability with the H∞ disturbance attenuation of the switched system.
|ジャーナル||Proceedings of the IEEE Conference on Decision and Control|
|出版ステータス||Published - 2012|
|イベント||51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States|
継続期間: 2012 12月 10 → 2012 12月 13
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