satoh, atsushi (Iwate Univ.)

Dual LMI Problem and Application to Eigenvalue/eigenstructure Assignment

Scheduled for presentation during the Regular Session "Convex Optimization II" (FrP09), Friday, July 28, 2006, 17:00−17:25, Room J

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 19, 2024

Abstract

This paper proposes an application of dual Linear-Matrix-Inequality (LMI) approach to feedback design. Some useful LMIs for eigenvalue/eigenstructure assignment are derived as the dual of known LMI problems, namely, Lyapunov stability condition and Kalman-Yakubovich-Popov (KYP) lemma. The existence condition of gain parameters can not be reduced to an ordinary Lyapunov inequality because the assignment regions for each closed-loop eigenvalue are non-common and disjoint in general. Numerical examples are shown to illustrate the gain parameter design by the proposed technique.