Title :
A convex relaxation approach to multivariable state-space frequency response approximation
Author :
van der Meche, E. ; Bosgra, Okko
Author_Institution :
Mech. Eng. Syst. & Control Group, Delft Univ. of Technol., Netherlands
Abstract :
In this paper an algorithm is presented for a parametric state-space H∞ frequency response approximation using convex optimization. This inherently nonconvex optimization problem is rewritten as a bilinear matrix inequality (BMI) optimization problem. A convex relaxation is proposed together with an iterative approach. The approach is demonstrated by a simple, multivariable example.
Keywords :
H∞ control; approximation theory; convex programming; frequency response; iterative methods; linear matrix inequalities; multivariable control systems; state-space methods; BMI optimization problem; bilinear matrix inequality; convex optimization; convex relation approach; multivariable state-space frequency response approximation; nonconvex optimization problem; Approximation algorithms; Control system synthesis; Frequency dependence; Frequency domain analysis; Frequency measurement; Frequency response; Least squares approximation; MIMO; Mechanical engineering; Robust control;
Conference_Titel :
American Control Conference, 2003. Proceedings of the 2003
Print_ISBN :
0-7803-7896-2
DOI :
10.1109/ACC.2003.1242565
