Title :
A Rank Constrained LMI Algorithm for Decentralized State Feedback Guaranteed Cost Control of Uncertain Systems with Uncertainty Described by Integral Quadratic Constraints
Author :
Li, Li ; Petersen, Ian R.
Author_Institution :
New South Wales Univ., Canberra
Abstract :
The paper presents a numerical algorithm for constructing a decentralized state feedback guaranteed cost controller for an uncertain system. The uncertain systems under consideration contain structured uncertainty described by integral quadratic constraints. The decentralized controller is designed to achieve a closed loop system which is absolutely stable and such that a cost function satisfies a given bound for all admissible uncertainties. The main result gives an algorithm for constructing the desired controller in terms of LMIs subject to rank constraints.
Keywords :
closed loop systems; control system synthesis; cost optimal control; decentralised control; linear matrix inequalities; state feedback; uncertain systems; closed loop system; decentralized state feedback; guaranteed cost control; integral quadratic constraints; rank constrained LMI algorithm; uncertain systems; Australia; Cities and towns; Closed loop systems; Control systems; Cost function; Linear systems; Riccati equations; State feedback; Uncertain systems; Uncertainty;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4282183
