Open AccessEstimator design of switched linear systems under unknown persistent excitation
Author(s) -
Li Can,
Lian Jie
Publication year - 2018
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2017.0985
Subject(s) - control theory (sociology) , estimator , dwell time , mathematics , decoupling (probability) , exponential stability , linear system , stability (learning theory) , upper and lower bounds , computer science , nonlinear system , engineering , control engineering , statistics , medicine , clinical psychology , mathematical analysis , control (management) , artificial intelligence , machine learning , physics , quantum mechanics
In this study, the robust estimation problem is investigated for discrete‐time switched linear systems with unknown persistent excitation. The robust current estimator is proposed to estimate the real state of the switched systems without the stability restriction. The estimator input is constructed based on the current and previous information of a switching signal and output measurement. Owing to the reference system and its estimator, the exponential stability of the estimation error systems is presented under the average dwell time switching and arbitrary switching. The upper bound or the property of attenuation is unnecessary for the unknown input considered here. In addition, neither the conventional decoupling principle nor non‐singular transformation is employed. At last, the effectiveness of established results is illustrated by a numerical example and a DC–DC boost converter.