Open AccessControl of non‐linear switched systems with average dwell time: interval observer‐based framework
Author(s) -
He Zhongwei,
Xie Wei
Publication year - 2016
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.2015.0285
Subject(s) - control theory (sociology) , dwell time , observer (physics) , mathematics , lipschitz continuity , linear system , linear matrix inequality , interval (graph theory) , controller (irrigation) , state vector , state (computer science) , matrix (chemical analysis) , control (management) , mathematical optimization , computer science , algorithm , medicine , clinical psychology , mathematical analysis , physics , quantum mechanics , combinatorics , artificial intelligence , materials science , classical mechanics , agronomy , composite material , biology
The authors address control system design based on an interval observer for non‐linear switched systems with non‐linear vector functions that are assumed to satisfy Lipschitz conditions. First, the observer gain satisfying a Metzler matrix can be solved by optimisations of linear matrix inequalities (LMIs). Second, an interval observer is designed to estimate the states of non‐linear switched systems with the average dwell time scheme, and sufficient conditions for state estimation are presented in terms of an LMI formulation. Third, based on an interval observer, state feedback matrices are designed to construct an asymptotically stabilising switching controller. Finally, a numerical example is provided to demonstrate the efficiency of the approach.