Title :
Decentralized Robust H∞ Output Feedback Control for Interconnected Large-Scale systems with Uncertainties
Author :
Zhaohui, Jiang ; Weihua, Gui ; Yongfang, Xie
Author_Institution :
Central South Univ., Changsha
Abstract :
A new bounded real lemma for interconnected large-scale systems is obtained by using Lyapunov stability theory and LMI method. Based on the new bounded real lemma, the problem of decentralized robust Hinfin control is investigated via output feedback for interconnected large-scale systems with norm-bounded parameter uncertainties in state, control and interconnected matrices. Sufficient conditions for the existence of a decentralized robust H∞ output feedback controller are obtained in terms of a set of matrix inequalities. The controller is solved iteratively by homotopy method, which enables the closed loop large-scale system robust asymptotically stable and satisfies the given H∞ performance. Finally, a numerical example is provided to illustrate the effectiveness and the availability for the design.
Keywords :
H∞ control; Lyapunov methods; decentralised control; feedback; interconnected systems; linear matrix inequalities; robust control; uncertain systems; Lyapunov stability; decentralized robust H∞ control; homotopy method; interconnected large-scale system; linear matrix inequalities; norm-bounded parameter uncertainty; output feedback control; Availability; Control systems; Large-scale systems; Linear matrix inequalities; Lyapunov method; Output feedback; Robust control; Robustness; Sufficient conditions; Uncertain systems; Decentralized robust H∞ control; Matrix nequality; New bounded real lemma; Output feedback; Uncertainty;
Conference_Titel :
Control Conference, 2007. CCC 2007. Chinese
Conference_Location :
Hunan
Print_ISBN :
978-7-81124-055-9
Electronic_ISBN :
978-7-900719-22-5
DOI :
10.1109/CHICC.2006.4347131