Stability and stabilisation of reset control systems with uncertain output matrix | Zendy

Zhao Guanglei | Zendy; Wang Jingcheng | Zendy

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Stability 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) - control theory (sociology) , reset (finance) , control (management) , stability (learning theory) , matrix (chemical analysis) , control engineering , computer science , engineering , economics , materials science , artificial intelligence , machine learning , financial economics , composite material

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.

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