A practical approach for the design of multivariable control systems

Issue title: ISTET '01

Article type: Research Article

Authors: Hofer, Anton^{a; *} | Horn, Martin^a

Affiliations: [a] Institute for Automatic Control, Graz University of Technology, Inffeldgasse 16c, A-8010 Graz, Austria

Correspondence: [*] Corresponding author. Tel.: +43 316 873 7021; Fax: +43 316 873 7028; E-mail: hofer@irt.tu-graz.ac.at

Abstract: In this paper the design of linear multivariable control systems based on the l_{1}- system norm is revised. It is shown how the well known computational difficulties inherent in this design problem can be overcome. For this purpose a procedure is proposed consisting of the steps 1) design of a suitable low order controller by semidefinite programming, 2) parametrization of all stabilizing conrollers based on the controller of the first step, 3) solution of the design problem with linear programming methods. The efficiency of this method is demonstrated by an example.

DOI: 10.3233/JAE-2003-250

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 17, no. 1-3, pp. 91-106, 2003