An Iterative Method for Robust Performance Analysis of Sampled-Data Systems against Parameter Uncertainties

Authors:	Hagiwara Tomomichi, Kyoto University, Japan Horiguchi Kazuhiro, Kyoto University, Japan
Topic:	2.5 Robust Control
Session:	Parametric Robustness
Keywords:	sampled-data systems, robust stability, robust performance, parameter uncertainties, convergence analysis

Abstract

This paper is concerned with robust performance analysisof sampled-data systems.In particular, we consider the uncertainty of a parameterin the continuous-time plantand study the problem of determining the allowable rangeof the uncertainty around the origin(or equivalently, the allowable range of the parameteraround the nominal value) over which the sampled-data system remains internallystable and a prescribed L2-induced norm(or equivalently, H-infinity performance) level is retained.We provide an effective iterative procedure with guaranteed convergencethat gives an exact allowable parameter range, together with rigorousarguments for the convergence.