Affiliation:
1. Kevin T. Crofton Department of Aerospace and Ocean Engineering Virginia Tech Blacksburg Virginia USA
2. Department of Mechanical Engineering American University of Beirut Beirut Lebanon
3. ENAC, The French National University of Civil Aviation Toulouse France
Abstract
AbstractThis article proposes novel methods for the computation of state and output bounding sets for discrete‐time uncertain systems. The systems under consideration are formed from the interconnection of a nominal linear time‐invariant system and an uncertainty operator that is known to lie within a prespecified set. The set of allowable uncertainties is described by a pointwise integral quadratic constraint (IQC), that is, a quadratic constraint that holds for all time‐steps. Examples of pointwise IQCs characterizing common uncertainty sets are provided. The exogenous input to the system is assumed to lie in a given polytope or ellipsoid for all time‐steps. The proposed methods are illustrated via an example.
Funder
Army Research Office
Office of Naval Research
University Research Board, American University of Beirut
Subject
Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Mechanical Engineering,Aerospace Engineering,Biomedical Engineering,General Chemical Engineering,Control and Systems Engineering
Cited by
1 articles.
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