Open AccessController synthesis for one‐sided Lipschitz Markovian jump systems with partially unknown transition probabilities
Author(s) -
Wu Yue,
Dong Jiuxiang
Publication year - 2017
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.2016.1425
Subject(s) - lipschitz continuity , control theory (sociology) , jump , controller (irrigation) , quadratic growth , mathematics , bounded function , observer (physics) , markov process , state (computer science) , computer science , control (management) , mathematical analysis , algorithm , physics , statistics , quantum mechanics , artificial intelligence , agronomy , biology
A controller design method is presented for one‐sided Lipschitz Markovian jump systems with partially unknown transition probabilities. By using the proposed controllers, it can be guaranteed that the state trajectories starting from a given region remain in it (without disturbances) or a bigger one (under disturbances), where the local one‐sided Lipschitz and quadratically inner‐bounded conditions can be satisfied. In addition, an observer‐based controller is designed to stabilise the system without the requirement that the system states are measurable. Finally, two examples are given to illustrate the effectiveness of the proposed scheme.