Open AccessFinite‐time stabilisation for Markov jump systems with Gaussian transition probabilities
Author(s) -
Luan Xiaoli,
Shi Peng,
Liu Fei
Publication year - 2013
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.2012.0509
Subject(s) - control theory (sociology) , gaussian , markov chain , jump , markov process , transition (genetics) , mathematics , computer science , statistical physics , physics , artificial intelligence , statistics , control (management) , quantum mechanics , biochemistry , chemistry , gene
The problems of finite‐time analysis and design for a class of Markov jump systems with Gaussian transition probabilities (TPs) are investigated in this study. Gaussian TP density function is introduced to quantise the stochastic uncertain information of TPs. Mode‐dependent and variation‐dependent controller is designed to make the resulting closed‐loop systems finite‐time bounded and finite‐time stabilisable for all admissible unknown external disturbances and random uncertain TPs. It is shown that the approach proposed in the paper dealing with TPs outperforms available ones in literature to date, which is also confirmed by a numerical example.