Title
Optimal Triangular Approximation For Linear Stable Multivariable Systems
Abstract
This paper deals with the problem of obtaining a stable triangular approximation for a linear, square, stable, discrete-time MIMO system. We solve this problem through an analytic procedure that yields an explicit solution of a convex optimization problem. The optimized quantity is the L-2 norm of the relative modelling error. An interesting feature of the proposed methodology is that, if the MIMO system has nonminimum phase zeros near the stability boundary, then the derived approximation has, at least, a set of zeros close to them. The usefulness of our result comes mainly from its use as nominal model in triangular controller design procedures based on a triangular plant model.
Year
DOI
Venue
2007
10.1109/ACC.2007.4282154
2007 AMERICAN CONTROL CONFERENCE, VOLS 1-13
Keywords
DocType
ISSN
mimo,approximation theory,computer science,control systems,linear approximation,optimal control,design optimization,stability,convex optimization,convex programming,discrete time,linear systems,poles and zeros
Conference
0743-1619
Citations 
PageRank 
References 
0
0.34
3
Authors
2
Name
Order
Citations
PageRank
Diego A. Oyarz100.34
Mario E. Salgado2398.35