Title :
Design of multirate digital control systems with semidefinite programming
Author :
Hofer, Anton ; Horn, Martin
Author_Institution :
Graz Univ. of Technol.
Abstract :
A computer aided design method for linear multirate digital control systems is presented in this paper. The design problem is formulated on the infinity norm of signals and the induced l1-system norm. An upper bound for the l1-system norm leading to matrix inequalities is the basis of the design procedure. It is a characteristic feature of the method that the controller is attained by repeatedly solving small size convex optimization problems. Considering an example it turns out, that multirate digital controllers can help to overcome the well known problem of inflating controller order in induced l1-control
Keywords :
control system CAD; convex programming; digital control; linear systems; matrix algebra; computer aided design; linear multirate digital control system; matrix inequality; semidefinite programming; Control systems; Design methodology; Digital control; H infinity control; Linear matrix inequalities; Linear programming; Optimization methods; Signal design; Size control; Upper bound; Multirate digital control systems; l1-controller design; semidefinite programming;
Conference_Titel :
Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control, 2006 IEEE
Conference_Location :
Munich
Print_ISBN :
0-7803-9797-5
Electronic_ISBN :
0-7803-9797-5
DOI :
10.1109/CACSD-CCA-ISIC.2006.4776804
