Title :
Control system design based on duality theorem
Author :
Ohta, Yoshito ; Kunitake, Takashi
Author_Institution :
Dept. of Comput.-Controlled Mech. Syst., Osaka Univ., Suita Osaka, Japan
Abstract :
This paper considers the finite dimensional approximation of dual problems that appear in control design problems, namely the discrete-time multi-objective l1 control problem and the continuous-time reference management problem for constrained systems. The dual problem is constructed with the properties that it does not have the duality gap with the primal problem, and that the space of variables is separable. The results are important for the exact computation of the optimal value. They provide an effective way to find separating hyperplanes between the feasible set and the level set of the cost functional.
Keywords :
control system synthesis; discrete time systems; constrained systems; continuous-time reference management problem; control system design; discrete-time multi-objective l1 control problem; duality theorem; finite dimensional approximation; Control design; Control systems; Control theory; Cost function; Frequency domain analysis; Level set; Linear programming; Mechanical systems; Mechanical variables control; Optimal control;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184259