Title :
Interpolation point augmentation method for multiblock model matching problems: multi-input multi-output L1 optimal control
Author :
Ohta, Yoshito ; Adachi, Noriyasu ; Kimura, Hidenori
Author_Institution :
Dept. of Mech. Eng. for Comput.-Controlled Machinery, Osaka Univ., Japan
Abstract :
This paper studies a method to solve the general multi-block standard problems whose objective is to design a stabilizing controller that minimizes the induced norm of a closed loop input-output map. It is shown that there is a sequence of augmented 1-block problems whose optimal solutions converges to that of multi-block problems in the weak-* topology. The method applies to L1 and l1 control as well as continuous/discrete time H∞ control
Keywords :
MIMO systems; closed loop systems; control system synthesis; interpolation; optimal control; stability; L1 control; augmented 1-block problems; closed loop input-output map; continuous/discrete time H∞ control; induced norm; interpolation point augmentation method; l1 control; multi-input multi-output L1 optimal control; multiblock model matching; stabilizing controller; weak-* topology; Convergence; Convolution; Delay effects; Interpolation; Machinery; Mechanical engineering; Optimal control; Pi control; Robust control; Topology;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411626