A MATLAB package for multiobjective control synthesis

Author

Qi, Xin ; Khammash, Mustafa H. ; Salapaka, Murti V.

Author_Institution

Dept. of Electr. & Comput. Eng., Iowa State Univ., Ames, IA, USA

Volume

4

fYear

2001

fDate

2001

Firstpage

3991

Abstract

In this paper, a MATLAB package, GMO 1.0, is introduced for synthesizing (sub-) optimal controllers for the general multiobjective (GMO) control problem involving ₁ norm, ℋ₂ norm, ℋ_∞ norm, time-domain constraint (TDC), and controller structure constraints. The GMO framework encompasses a large class of multiobjective problems which can be effectively solved by using GMO 1.0 package (e.g. ₁/ℋ_∞, ₁/TDC, etc.). While global convergence is guaranteed for the convex finite dimensional suboptimal problems, this set of routines yields a rational linear time-invariant controller delivering performance within any prescribed tolerance of the optimal cost. In this paper, several multiobjective design problems are solved to demonstrate the effectiveness of the framework and the software

Keywords

H^∞ control; control system CAD; convergence; linear systems; multidimensional systems; software packages; suboptimal control; ℋ_∞ norm; ℋ₂ norm; ₁ norm; GMO 1.0; LTI controller; MATLAB package; TDC; controller structure constraints; convex finite dimensional suboptimal problems; global convergence; multiobjective control synthesis; optimal controller synthesis; rational linear time-invariant controller; suboptimal controller synthesis; time-domain constraint; Control system synthesis; Convergence; Cost function; Linear programming; MATLAB; Optimal control; Optimization methods; Packaging; Robust control; Time domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.980514

Filename

980514