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Output prediction under random measurements. An LMI approach

Authors:Peñarrocha Ignacio, Universitat Jaume I, Spain
Sala Antonio, Universitat Politécnica de Valencia, Spain
Sanchis Roberto, Universitat Jaume I, Spain
Albertos Pedro, Universitat Politécnica de Valencia, Spain
Topic:1.1 Modelling, Identification & Signal Processing
Session:Filtering and Estimation
Keywords: missing-data, random sampling, unconventional sampling, time-varyingsampling periods, martingale convergence, linear matrixinequalities

Abstract

In this paper, the design of an output predictor in a system withrandom scarce sampling is addressed. A model based predictor thattakes into account the past measured outputs is used, and aLyapunov function of the estimation error is used for designpurposes. The Lyapunov design problem becomes a feasibilityproblem over a set of linear matrix inequalities applying theSchur complement formula. Three different design approaches havebeen developed. Some examples show the performances of eachapproach.