Title
On the real, rational, bounded, unit interpolation problem in ℋ∞ and its applications to strong stabilization:
Abstract
One of the most challenging problems in feedback control is strong stabilization, i.e. stabilization by a stable controller. This problem has been shown to be equivalent to finding a finite dimensional, real, rational and bounded unit in H infinity satisfying certain interpolation conditions. The problem is transformed into a classical Nevanlinna-Pick interpolation problem by using a predetermined structure for the unit interpolating function and analysed through the associated Pick matrix. Sufficient conditions for the existence of the bounded unit interpolating function are derived. Based on these conditions, an algorithm is proposed to compute the unit interpolating function through an optimal solution to the Nevanlinna-Pick problem. The conservatism caused by the sufficient conditions is illustrated through strong stabilization examples taken from the literature.
Year
DOI
Venue
2019
10.1177/0142331218759598
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
Keywords
DocType
Volume
Unit interpolation,rational interpolation,strong stabilization,stable controller
Journal
41.0
Issue
ISSN
Citations 
2
0142-3312
0
PageRank 
References 
Authors
0.34
10
3
Name
Order
Citations
PageRank
Veysel Yücesoy161.45
Veysel Yücesoy261.45
Hitay Özbay330050.42