Transactions of the Institute of Systems, Control and Information Engineers
Online ISSN : 2185-811X
Print ISSN : 1342-5668
ISSN-L : 1342-5668
Improved Worst-Case L2 Gain Analysis for Systems with Switching and Dynamic Uncertainty Based on LMIs
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2003 Volume 16 Issue 2 Pages 94-100


This paper deals with analysis of bumpy responses for systems with switching and uncertainty. Switching in control systems often causes bumpy responses. Since those responses are harmful, several methods have been proposed to attain bumpless transfer. However, the existing methods may not have enough robustness. Recently, another method has been proposed to analyze bumpy responses for systems with uncertainty, where the bumpy responses are analyzed through the worst-case L2 gain from the past disturbance to the future control output, with the expense of conservatism. This paper aims to improve the results by reducing the conservatism. The proposed analysis results are less conservative and given in terms of linear matrix inequalities. A numerical example shows that the proposed method actually gives a less conservative result than existing methods.

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