Title :
On strong stabilization and H∞ strong stabilization problems
Author :
Chou, Yung-Sban ; Wu, Tai-Zu ; Leu, Jim-Liang
Author_Institution :
Dept. of Electr. Eng., Tamkang Univ., Taipei, Taiwan
Abstract :
In this paper new sufficient conditions for the existence of strongly stabilizing controllers and stable H-infinity controllers are derived in a unified manner. These conditions are recast as the solvability conditions of positive real controller synthesis problem and multi-objective control problem, respectively, which can be solved efficiently via existing linear matrix inequality (LMI) programs. In addition, characterizations of such controllers for both of the problems are given based on the solutions obtained.
Keywords :
H∞ control; control system synthesis; linear matrix inequalities; stability; H∞ strong stabilization; LMI; controller synthesis; linear matrix inequality; multiobjective control; solvability; stable H-infinity controllers; strongly stabilizing controllers; sufficient conditions; Communication system control; Control systems; Feedback control; Filters; Hydrogen; Interpolation; Linear matrix inequalities; Robust stability; Sufficient conditions; Transfer functions;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272455