Open AccessRobust finite‐time bounded control for discrete‐time stochastic systems with communication constraint
Author(s) -
Song Jun,
Niu Yugang,
Zou Yuanyuan
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.2014.1173
Subject(s) - dropout (neural networks) , bounded function , control theory (sociology) , discrete time and continuous time , constraint (computer aided design) , time constraint , computer science , network packet , state (computer science) , mathematical optimization , control (management) , mathematics , algorithm , mathematical analysis , statistics , geometry , artificial intelligence , computer network , machine learning , political science , law
This study is concerned with the problem of finite‐time stochastic bounded (FTSB) control for discrete‐time stochastic system with communication constraint, in which there may exist external bounded disturbance and state‐dependent noise. In particular, the state of system may loss when transmitted via communication networks. In this study, a compensating strategy is employed to cope with the packet dropout. Moreover, the concepts on FTSB are introduced and relevant issues are discussed. By constructing suitable Lyapunov–Krasovskii functional, sufficient conditions dependent on both dropout probability and specified work time are derived to ensure the FTSB of the closed‐loop system. Meanwhile, a prescribed H ∞ performance is also achieved. Finally, an F‐18 aircraft model is employed to illustrate the proposed approach.