Feasibility of H∞ design specifications: an interpolation method

Given a set of H ∞ design specifications, the issue is to check whether there exists a controller, whose order is free, which satisfies these specifications. The classical solution, which is based on Youla parametrization and convex closed loop design, is not really satisfactory since it should use...

Full description

Saved in:
Bibliographic Details
Published in:International journal of control 2005-08, Vol.78 (12), p.927-936
Main Authors: Ferreres, G., Puyou, G.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system analysis
Control system synthesis
Control theory. Systems
Exact sciences and technology
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:Given a set of H ∞ design specifications, the issue is to check whether there exists a controller, whose order is free, which satisfies these specifications. The classical solution, which is based on Youla parametrization and convex closed loop design, is not really satisfactory since it should use an infinite dimensional basis of filters, which cannot be done in practice. Let J* the minimal value of the design objective over such an infinite dimensional basis of filters. A Nevanlinna Pick interpolation method is proposed here to compute lower and upper bounds of J*, by solving the design problem on a finite set of frequencies. Finite-time convergence of the algorithm is proved.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207170500223187