TY - GEN
T1 - Design of robust decentralized H∞ control for interconnected descriptor systems with norm-bounded parametric uncertainties
AU - Chen, Ning
AU - Gui, Weihua
AU - Zhai, Guisheng
PY - 2006
Y1 - 2006
N2 - This paper considers a robust decentralized H∞ control problem for interconnected descriptor systems. The uncertainties are assumed to be time-invariant, norm-bounded, and exist in both the system and control input matrices. Our interest is focused on dynamic output feedback. A sufficient condition for an uncertain interconnected descriptor system to be robustly stabilizable with a specified disturbance attenuation level, is derived in terms of a nonlinear matrix inequality (NMI). A two-stage homotopy method is employed to solve the NMI iteratively. First, a decentralized controller for the nominal descriptor system is computed by imposing block-diagonal constraints on the coefficient matrices of the controller gradually. Then, the decentralized controller is modified, again gradually, to cope with the uncertainties. On each stage, groups of variables are fixed alternately at the iterations to reduce the NMI to linear matrix inequalities (LMIs). An example is given to show the use of this method.
AB - This paper considers a robust decentralized H∞ control problem for interconnected descriptor systems. The uncertainties are assumed to be time-invariant, norm-bounded, and exist in both the system and control input matrices. Our interest is focused on dynamic output feedback. A sufficient condition for an uncertain interconnected descriptor system to be robustly stabilizable with a specified disturbance attenuation level, is derived in terms of a nonlinear matrix inequality (NMI). A two-stage homotopy method is employed to solve the NMI iteratively. First, a decentralized controller for the nominal descriptor system is computed by imposing block-diagonal constraints on the coefficient matrices of the controller gradually. Then, the decentralized controller is modified, again gradually, to cope with the uncertainties. On each stage, groups of variables are fixed alternately at the iterations to reduce the NMI to linear matrix inequalities (LMIs). An example is given to show the use of this method.
UR - http://www.scopus.com/inward/record.url?scp=67449110618&partnerID=8YFLogxK
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U2 - 10.1109/ISIC.2006.285560
DO - 10.1109/ISIC.2006.285560
M3 - Conference contribution
AN - SCOPUS:67449110618
SN - 0780397983
SN - 9780780397989
T3 - IEEE International Symposium on Intelligent Control - Proceedings
SP - 3070
EP - 3075
BT - Proceedings of the 2006 IEEE International Symposium on Intelligent Control, ISIC
T2 - Joint 2006 IEEE Conference on Control Applications (CCA), Computer-Aided Control Systems Design Symposium (CACSD) and International Symposium on Intelligent Control (ISIC)
Y2 - 4 October 2006 through 6 October 2006
ER -