抄録
This paper deals with analysis of the worst-case bumpy response due to disturbances for systems with switching and uncertainty. Bumpy responses are often caused by switching in control systems. Since those responses are harmful, several methods of bumpless transfer have been proposed. However, most of the existing results do not deal with robustness. Recently, a method has been proposed to analyze the worst-case gain from past disturbance to future output based on LMIs. Although that result guarantees robustness, it may not be suitable for further applications to e.g. synthesis problems since the result lacks duality. This paper proposes a method to analyze the worst-case L2 gain from past disturbances to future controlled output based on linear matrix inequalities. The condition given in this paper has symmetry in terms of duality. Moreover, a numerical example shows that the proposed method gives a less conservative result than existing methods.
