Title :
l1 controller design with frequency domain constraints: finite dimensional approximation of dual problems
Author_Institution :
Dept. of Computer-Controlled Mech. Syst., Osaka Univ., Japan
Abstract :
This paper studies the l1 controller design with frequency domain constraints using the duality theorem. For this class of problems it was shown in the literature that the standard finite dimensional approximation of the dual problem in the space of finite support sequences may not converge to the optimal value. In this paper, a condition assuring no duality gap is studied, and a way to approximate the dual problem with arbitrary tolerance by finitely many variables is proposed
Keywords :
H∞ control; control system synthesis; duality (mathematics); frequency-domain synthesis; multidimensional systems; arbitrary tolerance; duality theorem; finite dimensional approximation; finite support sequences; frequency domain constraints; l1 controller design; Constraint theory; Control systems; Frequency domain analysis; Frequency response; Hydrogen; Lagrangian functions; Linear programming; Mechanical systems; Pi control; Robust control;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.981036
