This paper enhances our previous results on dilated LMI's so that we can address robust controller synthesis problems for continuous-time LTI systems subject to real polytopic uncertainties. The replacement of a constant scalar involved in the previous dilated LMI's by an adjustable parameter is the key to accomplish this extension. The particular form of the extension enables the use of parameter-dependent Lyapunov variables in such a sound way that an advantage of the dilated LMI approach is ensured explicitly in attacking such robust controller synthesis problems. Namely, the dilated LMI approach is shown to achieve better (no worse) results than the conventional one which is restricted to parameter-independent Lyapunov variables, provided that the adjustable parameter is taken to meet a certain simple condition.
|ジャーナル||Proceedings of the IEEE Conference on Decision and Control|
|出版ステータス||出版済み - 12月 1 2002|
|イベント||41st IEEE Conference on Decision and Control - Las Vegas, NV, 米国|
継続期間: 12月 10 2002 → 12月 13 2002
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