Title :
Duality in designing stabilizing control of uncertain linear systems
Author_Institution :
Sch. of Eng., Southern Illinois Univ. of Edwardsville, IL, USA
Abstract :
The design of stabilizing linear output feedback control of uncertain systems is a computationally demanding optimization problem as local minima may exist which are distinct from the global minimum. However, in some special cases, quasi-convexity can be proven through a simple redefinition of variables and/or a reformulation of the problem in the dual form. Such special cases include state feedback control for both discrete and continuous time systems
Keywords :
control system synthesis; duality (mathematics); feedback; linear systems; minimisation; stability; computationally demanding optimization problem; continuous time systems; control system design; discrete time systems; dual form; duality; global minimum; local minima; quasi-convexity; stabilizing linear output feedback control; state feedback control; uncertain linear systems; variables redefinition; Continuous time systems; Control systems; Design engineering; Design optimization; Equations; Linear feedback control systems; Linear systems; Output feedback; State feedback; Uncertain systems; Uncertainty;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371282