Title :
Positive real robust control: a guaranteed cost problem
Author :
Bernussou, J. ; Daafouz, J. ; Geromel, J.C. ; de Oliveira, M.C.
Author_Institution :
Lab. d´´Autom. et d´´Anal. des Syst., CNRS, Toulouse, France
Abstract :
Whenever uncertainty can be modeled as a sector bounded nonlinearity a robust controller design may be achieved with the help from positive real system properties. In this paper, a quadratic guaranteed cost robust control problem by dynamic output feedback is posed and solved in two situations, namely, when strict real positivity (SPR) or extended strict real positivity (ESPR) conditions are required
Keywords :
control nonlinearities; control system synthesis; feedback; robust control; uncertain systems; ESPR; SPR; dynamic output feedback; extended strict real positivity; positive real robust control; positive real system properties; quadratic guaranteed cost robust control problem; robust controller design; sector bounded nonlinearity; uncertainty; Control systems; Cost function; Linear feedback control systems; Nonlinear control systems; Nonlinear dynamical systems; Output feedback; Riccati equations; Robust control; State feedback; Uncertainty;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657636