Transactions of the Society of Instrument and Control Engineers
Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654
Constraints Admissible Invariant Sets for a Class of Uncertain Systems
Kenji HIRATAYoshito OHTA
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2005 Volume 41 Issue 8 Pages 660-667

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Abstract
This paper is concerned with obtaining necessary and sufficient conditions for fulfilling specified state and control pointwise-in-time constraints of systems with unknown but norm bounded uncertainties. The results are generalizations of the maximal output admissible set theory to the case of a certain class of uncertain systems. The uncertain systems investigated in this paper are written in terms of linear fractional transformations of nom-final dynamics and admissible perturbations. A set of admissible perturbations consists of stable, time varying memoryless and possibly nonlinear operators. This paper proves that a finite characterization of the maximal output admissible set is possible.
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