TY - JOUR
T1 - Decentralized H∞ controller design for descriptor systems
AU - Zhai, Guisheng
AU - Koyama, Naoki
AU - Yoshida, Masaharu
N1 - Funding Information:
The authors would like to thank Professor Masao IKEDA of Osaka University and Professor Noboru SEBE of Kyushu Institute of Technology, for their valuable discussions that greatly contributed to this paper.
Publisher Copyright:
© 2004 IFAC.
PY - 2004
Y1 - 2004
N2 - 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.
AB - 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.
KW - Bilinear matrix inequality (BMI)
KW - Decentralized H∞ control
KW - Linear matrix inequality (LMI)
KW - Low order
KW - Multi-channel LTI descriptor system
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U2 - 10.1016/S1474-6670(17)31628-2
DO - 10.1016/S1474-6670(17)31628-2
M3 - Conference article
AN - SCOPUS:85064449655
SN - 2405-8963
VL - 37
SP - 303
EP - 308
JO - IFAC-PapersOnLine
JF - IFAC-PapersOnLine
IS - 11
T2 - 10th IFAC/IFORS/IMACS/IFIP Symposium on Large Scale Systems: Theory and Applications, LSS 2004
Y2 - 26 July 2004 through 28 July 2004
ER -