Open AccessAsynchronously switching control for a class of switched neutral systems: a novel discontinuous Lyapunov function approach
Author(s) -
Wang Chunyan,
Li Huan,
Zhang Mengqi
Publication year - 2020
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.2020.0346
Subject(s) - dwell time , control theory (sociology) , lyapunov function , exponential stability , asynchronous communication , controller (irrigation) , sampling (signal processing) , computer science , class (philosophy) , stability (learning theory) , mathematics , control (management) , telecommunications , nonlinear system , medicine , clinical psychology , physics , quantum mechanics , artificial intelligence , machine learning , agronomy , biology , detector
In this study, a sampling control problem is investigated for a class of switched linear neutral systems under asynchronous switching. By developing a novel edge‐dependent discontinuous Lyapunov function (EDDLF) approach, new exponential stability conditions are established for the considered switched system with sampled‐data partitioned feedback controllers. In addition, the switching rule characterised by admissible edge‐dependent average dwell time (AED‐ADT) is first explored for sampling asynchronous switching studies of switched systems, and tighter bounds of AED‐ADT are obtained by the EDDLF strategy. By properly assigning the sampling period and the number of segments, the proposed controller gains and smaller AED‐ADT are followed, which can guarantee the exponential stability of the closed‐loop switched system. Finally, some simulation results show the advantages of the developed control strategy.