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Observer‐based event‐triggered control for systems with slope‐restricted nonlinearities
Author(s) -
Moreira Luciano G.,
Gomes da Silva Joao M.,
Tarbouriech Sophie,
Seuret Alexandre
Publication year - 2020
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5185
Subject(s) - control theory (sociology) , observer (physics) , dwell time , convex optimization , emulation , nonlinear system , exponential stability , bounded function , linear matrix inequality , computer science , mathematics , optimization problem , regular polygon , mathematical optimization , control (management) , physics , mathematical analysis , medicine , clinical psychology , geometry , quantum mechanics , artificial intelligence , economics , economic growth
Summary This article presents an observer‐based event‐triggering strategy for systems with slope‐restricted nonlinearities that depend on the state. Both the emulation and codesign problems are addressed. To avoid Zeno behavior, a minimum dwell time is considered. By using a looped‐functional approach and the cone‐bounded properties of the nonlinearity, sufficient conditions based on linear matrix inequalities are derived to ensure global asymptotic stability of the origin of the closed‐loop system under the proposed event‐triggering strategy. These conditions are incorporated into convex optimization problems to optimally determine the event‐triggering function parameters and the observer gain (in the codesign case) aiming at reducing the number of control updates. Numerical examples illustrate the potentialities of the approach.