TY - JOUR
T1 - Robust decentralized H∞ control of multi-channel discrete-time descriptor systems with time-delay
AU - Chen, Ning
AU - Zhai, Guisheng
AU - Gui, Weihua
PY - 2009/4
Y1 - 2009/4
N2 - This paper considers a robust decentralized H∞ control problem for uncertain multi-channel discrete-time descriptor systems with time-delay. The uncertainties are assumed to be time-invariant, norm-bounded, and exist in the system, time-delay and output matrices. Our interest is focused on dynamic output feedback. A sufficient condition for the uncertain multi-channel discrete-time descriptor system with time-delay to be admissible with a specified disturbance attenuation level is derived based on Lya-punov stability theory. By setting the Lyapunov matrix as block diagonal appropriately according to the desired order of the controller, the problem is reduced to linear matrix inequalities which are sufficient to the existence condition but much more tractable.
AB - This paper considers a robust decentralized H∞ control problem for uncertain multi-channel discrete-time descriptor systems with time-delay. The uncertainties are assumed to be time-invariant, norm-bounded, and exist in the system, time-delay and output matrices. Our interest is focused on dynamic output feedback. A sufficient condition for the uncertain multi-channel discrete-time descriptor system with time-delay to be admissible with a specified disturbance attenuation level is derived based on Lya-punov stability theory. By setting the Lyapunov matrix as block diagonal appropriately according to the desired order of the controller, the problem is reduced to linear matrix inequalities which are sufficient to the existence condition but much more tractable.
KW - Decentralized H∞ control
KW - Linear matrix inequality
KW - Multi-channel discrete-time descriptor system
KW - Time-delay
KW - Uncertainty
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M3 - Article
AN - SCOPUS:64349117126
VL - 5
SP - 971
EP - 979
JO - International Journal of Innovative Computing, Information and Control
JF - International Journal of Innovative Computing, Information and Control
SN - 1349-4198
IS - 4
ER -