TY - GEN

T1 - Decentralized ℋ2 controller design for descriptor systems

T2 - An LMI approach

AU - Zhai, Guisheng

AU - Yoshida, Masaharu

AU - Imae, Joe

AU - Kobayashi, Tomoaki

N1 - Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2005

Y1 - 2005

N2 - This paper considers a decentralized ℋ2 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. 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 ℋ2 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. 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 control

KW - Linear matrix inequality (LMI)

KW - Multi-channel descriptor system

UR - http://www.scopus.com/inward/record.url?scp=79960732015&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79960732015&partnerID=8YFLogxK

U2 - 10.3182/20050703-6-cz-1902.01549

DO - 10.3182/20050703-6-cz-1902.01549

M3 - Conference contribution

AN - SCOPUS:79960732015

SN - 008045108X

SN - 9780080451084

T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)

SP - 51

EP - 56

BT - Proceedings of the 16th IFAC World Congress, IFAC 2005

PB - IFAC Secretariat

ER -