Title :
Robust Stabilization of Multi-Channel Descriptor Systems with Time-Delay Using Decentralized Output Feedback Control
Author :
Chen, Ning ; Zhai, Guisheng ; Gui, Weihua
Author_Institution :
Central South Univ. Changsha, Changsha
Abstract :
This paper considers a robust decentralized output feedback stabilization problem for uncertain multi-channel 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. A sufficient condition for the uncertain multichannel time-delay system to be admissible is derived based on Lyapunov 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. An example is given to show the efficiency of this method.
Keywords :
Lyapunov matrix equations; decentralised control; delays; feedback; linear matrix inequalities; robust control; uncertain systems; Lyapunov matrix; Lyapunov stability theory; decentralized output feedback control; linear matrix inequalities; multichannel descriptor systems; output matrices; robust decentralized stabilization problem; time-delay; time-invariant uncertainties; uncertain system; Centralized control; Control systems; Information science; Linear matrix inequalities; Output feedback; Robust control; Robustness; State feedback; Sufficient conditions; Uncertainty; linear matrix inequality (LMI); multi-channel descriptor systems; robust stability; time-delay; uncertainties;
Conference_Titel :
Mechatronics and Automation, 2007. ICMA 2007. International Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4244-0828-3
Electronic_ISBN :
978-1-4244-0828-3
DOI :
10.1109/ICMA.2007.4304103