DQIT: μ-synthesis without D-scale fitting

Author

Tsai, Kuen-Yu ; Hindi, Haitham A.

Author_Institution

Dept. of Electr. Eng., Stanford Univ., Santa Clara, CA, USA

Volume

49

Issue

11

fYear

2004

Firstpage

2028

Lastpage

2032

Abstract

A new approach called D-Q iteration (DQIT) for synthesizing robust H_∞ controllers is proposed to avoid D-scale fitting in D-K iteration (DKIT). Each iteration includes a D-step and a Q-step. In the D-step, the D-scale at each frequency is optimized as in DKIT, but D-scale fitting is not required. In the Q-step, the scaled H_∞ problem is approximated by a finite-dimensional Q-parameter optimization problem in the frequency domain, using D-scales directly. Numerical examples show significant improvement in some cases.

Keywords

H^∞ control; control system synthesis; iterative methods; multidimensional systems; optimisation; robust control; μ-synthesis; D-K iteration; D-scale fitting; H∞ control; convex optimization; finite-dimensional Q-parameter optimization problem; optimal control; robust control; Computational complexity; Control design; Control systems; Frequency domain analysis; Information systems; Laboratories; Optimization methods; Robust stability; Uncertainty; Upper bound; 65; Convex optimization; D-K iteration; D-Q iteration; DKIT; DQIT; robust control;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2004.837544

Filename

1356125