Title :
Stabilizability of uncertain linear systems via linear programming
Author :
Geromel, José C. ; Bernussou, Jacques ; Peres, Pedro L D
Author_Institution :
Fac. of Electr. Eng., Univ. Estadual de Campinas, Brazil
Abstract :
Necessary and sufficient conditions for quadratic stabilizability of uncertain systems are developed. Cases of both dynamic and input-uncertain matrices are investigated, and necessary and sufficient conditions are provided for the existence of a linear feedback control. The stabilizability condition is easily translated into a linear programming problem, which, when solved, also gives a stabilizing gain
Keywords :
linear programming; linear systems; stability; dynamic matrices; feedback control; input-uncertain matrices; linear programming; linear systems; quadratic stabilizability; uncertain systems; Control design; Feedback control; Linear programming; Linear systems; Lyapunov method; Robust control; Robust stability; Sufficient conditions; Uncertain systems; Uncertainty;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194632
