Title :
Decentralized robust H∞ output feedback control for value bounded uncertain large-scale interconnected systems
Author :
Yongfang, Xie ; Can, Huang ; Weihua, Gui ; Zhaohui, Jiang ; Chunhua, Yang
Author_Institution :
Central South Univ., Changsha
Abstract :
The design of decentralized robust H∞ output feedback controller for the large-scale interconnected systems with value bounded uncertainties in the state, control input and interconnected matrices is investigated. A new bounded real lemma for the large-scale interconnected systems is obtained by Lyapunov stability theory and liner matrix inequality method. Based on the new bounded real lemma a sufficient condition for the existence of a decentralized robust H∞ output feedback controller is derived. This condition is expressed as the feasibility problem of matrix inequalities. The controller which enables the closed-loop large-scale system robust stable and satisfies the given H∞ performance is obtained by a homotopy iterative method. At last a numerical example is given to illustrate the effectiveness of the offered method.
Keywords :
Hinfin control; Lyapunov matrix equations; closed loop systems; control system synthesis; decentralised control; feedback; interconnected systems; iterative methods; robust control; uncertain systems; Hinfin control; Lyapunov stability theory; bounded real lemma; closed-loop large-scale system; controller design; decentralized control; homotopy iterative method; interconnected matrices; large-scale interconnected systems; liner matrix inequality method; matrix inequalities; output feedback control; robust control; value bounded uncertainties; Control systems; Interconnected systems; Large-scale systems; Linear matrix inequalities; Lyapunov method; Output feedback; Robust control; Robustness; Sufficient conditions; Uncertainty; Decentralized robust H¿ control; Homotopy iterative method; Non-linear Matrix inequality (NLMI); Output feedback; Value bounded 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.2006.4346884
