Title :
Robust ℋ∞ control of uncertain linear systems via parameter-dependent Lyapunov functions
Author :
de Souza, Carlos E. ; Trofino, Alexandre ; de Oliveira, Jose
Author_Institution :
Dept. of Syst. & Control, Lab. Nacional de Comput. Cientifica, Petropolis, Brazil
Abstract :
Addresses the problems of robust ℋ∞ performance analysis and control synthesis for linear systems subject to uncertain real time-varying parameters. The uncertain parameters enter affinely in the matrices of the system state-space model and the admissible values of the parameters and their rates of variation are supposed to belong to a given polytope. New LMI based methods of robust ℋ∞ analysis and control design via state feedback are proposed using parameter-dependent Lyapunov functions
Keywords :
H∞ control; Lyapunov methods; control system analysis; control system synthesis; linear systems; matrix algebra; robust control; state feedback; state-space methods; time-varying systems; uncertain systems; LMI based methods; linear matrix inequalities; parameter-dependent Lyapunov functions; performance analysis; robust ℋ∞ control; state-space model; uncertain linear systems; uncertain real time-varying parameters; Control design; Control systems; Linear systems; Lyapunov method; Robust control; Robust stability; State feedback; Symmetric matrices; Time varying systems; Uncertainty;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912190
