Sensitivity shaping with degree constraint by nonlinear least-squares optimization

This paper presents a new approach to shaping of the frequency response of the sensitivity function. In this approach, a desired frequency response is assumed to be specified at a finite number of frequency points. A sensitivity shaping problem is formulated as an approximation problem to the desire...

Full description

Saved in:
Bibliographic Details
Published in:Automatica (Oxford) 2005-07, Vol.41 (7), p.1219-1227
Main Authors: Nagamune, Ryozo, Blomqvist, Anders
Format: Article
Language:English
Subjects:
Applied mathematics
Applied sciences
Computer science
control theory
systems
Control system synthesis
Control theory. Systems
Degree bound
Exact sciences and technology
MATEMATIK
MATHEMATICS
Nonlinear least-squares optimization
Optimeringslära, systemteori
Optimization, systems theory
Schur polynomial
Sensitivity function
Shaping
Tillämpad matematik
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper presents a new approach to shaping of the frequency response of the sensitivity function. In this approach, a desired frequency response is assumed to be specified at a finite number of frequency points. A sensitivity shaping problem is formulated as an approximation problem to the desired frequency response with a function in a class of sensitivity functions with a degree bound. The sensitivity shaping problem is reduced to a finite-dimensional constrained nonlinear least-squares optimization problem. To solve the optimization problem numerically, standard algorithms for an unconstrained version of nonlinear least-squares problems are modified to incorporate the constraint. Numerical examples illustrate how these design parameters are tuned in an intuitive manner, as well as how the design proceeds in actual control problems.
ISSN:0005-1098
1873-2836
1873-2836
DOI:10.1016/j.automatica.2005.01.017