A Dilated LMI Approach to Robust Performance Analysis of Linear Time-Invariant Uncertain Systems

Yoshio Ebihara, Tomomichi Hagiwara

研究成果: ジャーナルへの寄稿Conference article

3 引用 (Scopus)


This paper studies LMI-based robust performance analysis of linear time-invariant systems depending on uncertain parameters. In the case where the coefficient matrices of the system are affine with respect to the uncertain parameters, the standard LMI's are helpful in dealing with such analysis problems provided that we accept the notion of quadratic stability. On the other hand, in the case of rational parameter dependence, the standard LMI's carry some deficiency and thus we need another effort to derive numerically tractable conditions. This paper shows that recently developed dilated LMI's are effective in attacking such robust performance analysis problems. Indeed, applying dilated LMI's leads directly to numerically tractable conditions regardless of the form of the dependence on uncertain parameters. In addition, dilated LMI's enable us to employ parameter-dependent Lyapunov variables to test robust performance, which are known to be quite effective to alleviate the conservatism resulting from a quadratic (parameter-independent) Lyapunov variable.

ジャーナルProceedings of the American Control Conference
出版物ステータス出版済み - 11 6 2003
イベント2003 American Control Conference - Denver, CO, 米国
継続期間: 6 4 20036 6 2003


All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering