Open AccessSampled‐data synchronization of singular Markovian jump system: Application to DC motor model
Author(s) -
Wang Linqi,
Chen Guoliang,
Yang Te,
Xia Jianwei
Publication year - 2022
Publication title -
iet cyber‐physical systems: theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.308
H-Index - 7
ISSN - 2398-3396
DOI - 10.1049/cps2.12039
Subject(s) - aperiodic graph , control theory (sociology) , synchronization (alternating current) , basis (linear algebra) , jump , controller (irrigation) , mode (computer interface) , computer science , mathematics , control (management) , topology (electrical circuits) , artificial intelligence , physics , combinatorics , quantum mechanics , geometry , agronomy , biology , operating system
Abstract Sampled‐data synchronization problem for singular Markovian jump systems (SMJSs) subject to aperiodic sampled‐data control is investigated. Firstly, via constructing mode‐dependent one‐sided loop‐based Lyapunov functional (LBLF) and two‐sided LBLF, two different stochastically admissible conditions are suggested for error SMJSs with aperiodic sampled‐data. It is guaranteed that the slave system is stochastically synchronized to the master system on the basis of the proposed stochastically admissible conditions. Secondly, two corresponding mode‐dependent aperiodic sampled‐data controller design approaches are provided for error SMJSs based on two different conditions, separately. Finally, the validity of these approaches is demonstrated by a direct current (DC) motor model. It also demonstrated that the two‐sided LBLF method possesses a larger upper bound of sampled‐data period than the one‐sided LBLF method.