Open AccessStability and stabilisation of reset control systems with uncertain output matrix
Author(s) -
Zhao Guanglei,
Wang Jingcheng
Publication year - 2015
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.2014.0007
Subject(s) - reset (finance) , control theory (sociology) , mathematics , stability (learning theory) , linear matrix inequality , piecewise , controller (irrigation) , lemma (botany) , quadratic equation , convex optimization , matrix (chemical analysis) , control system , regular polygon , mathematical optimization , computer science , control (management) , engineering , materials science , artificial intelligence , mathematical analysis , ecology , financial economics , composite material , biology , geometry , machine learning , agronomy , poaceae , electrical engineering , economics
The stability analysis of reset control systems is challenging when reset time instants are uncertain, because such uncertainties may damage or even destabilise the system. This study considers reset control systems with uncertain output matrix, and presents sufficient conditions for the quadratic stability and finite gain ℒ 2 stability of the closed‐loop reset systems. Then, the results are extended to piecewise quadratic stability, which is much less conservative. The design of the reset controller is also discussed. All the results are given as linear matrix inequalities by using a lemma about multi‐convex function. Several examples are given to show the effectiveness of the obtained results.