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Stabilization of semi‐Markovian jump systems by a stochastically scheduled controller
Author(s) -
Wang Guoliang,
Fan Qiang
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.5376
Subject(s) - control theory (sociology) , jump , controller (irrigation) , computer science , markov process , lyapunov function , mode (computer interface) , scheduling (production processes) , mathematics , mathematical optimization , control (management) , nonlinear system , quantum mechanics , artificial intelligence , agronomy , biology , operating system , statistics , physics
This article considers the stabilization problem of continuous‐time semi‐Markovian jump systems. A kind of stochastically scheduled controller is proposed to realize the aim. It could also suffer a case that no controller is added to subsystems during some time slices. Based on a Lyapunov approach, sufficient conditions for such a controller are presented with LMI forms. Both sojourn times of jump signal and distribution properties of stochastic scheduling are involved and have positive roles in getting better performances. Two special cases about mode‐dependent and mode‐independent controllers are directly obtained. A practical example is given to verify the effectiveness and superiority of the proposed methods.