Open AccessFinite‐time H ∞ control with average dwell‐time constraint for time‐delay Markov jump systems governed by deterministic switches
Author(s) -
Luan Xiaoli,
Zhao Changzhong,
Liu Fei
Publication year - 2014
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.2013.0759
Subject(s) - dwell time , control theory (sociology) , discrete time and continuous time , mathematics , jump , markov chain , constraint (computer aided design) , markov process , control (management) , computer science , statistics , physics , medicine , geometry , quantum mechanics , artificial intelligence , clinical psychology
This study considers the problem of finite‐time H ∞ control for a class of discrete‐time time‐delay Markov jump linear systems governed by deterministic switches. By allowing the stochastic Lyapunov function to increase at every switching instant with a limited increase rate, new results on the stochastic finite‐time boundness with given H ∞ disturbance attenuation level are derived. Moreover, the coupling relationship among time‐delay, average dwell time and given finite‐time horizon of the underlying system is obtained through an average dwell‐time constraint. Finally, one example is given to demonstrate the validity of the obtained results.