This paper considers a decentralized H∞, control problem for multichannel linear time-invariant (LTI) descriptor systems. Our interest is to design a low order dynamic output feedback controller. The control problem is reduced to a feasibility problem of a bilinear matrix inequality (BMI) with respect to variables of a coefficient matrix defining the controller, a Lyapunov matrix and a matrix related to the descriptor matrix. There is no globally effective method for solving general BMIs. In this paper, under a matching condition between the descriptor matrix and the measurement output matrix (or the control input matrix), we propose to set the Lyapunov matrix in the BMI as block diagonal appropriately so that the BMI is reduced to LMIs.
|ジャーナル||IFAC Proceedings Volumes (IFAC-PapersOnline)|
|出版ステータス||Published - 2004|
|イベント||10th IFAC/IFORS/IMACS/IFIP Symposium on Large Scale Systems: Theory and Applications, LSS 2004 - Osaka, Japan|
継続期間: 2004 7月 26 → 2004 7月 28
ASJC Scopus subject areas