Open AccessH‐infinity fault‐tolerant control for Markov jump system with actuator time delay
Author(s) -
Weng Falu,
Hou Leilei,
Wei Hui,
Huang Yongji,
Ding Yuanchun
Publication year - 2022
Publication title -
the journal of engineering
Language(s) - English
Resource type - Journals
ISSN - 2051-3305
DOI - 10.1049/tje2.12134
Subject(s) - control theory (sociology) , actuator , markov chain , h infinity methods in control theory , jump , controller (irrigation) , fault tolerance , infinity , mathematics , computer science , markov process , transformation (genetics) , control (management) , mathematical analysis , distributed computing , physics , statistics , biochemistry , chemistry , quantum mechanics , artificial intelligence , gene , agronomy , biology
This study investigates H‐infinity fault‐tolerant control for Markov jump systems with actuator time delay. The main objective is to obtain some theorems such that the corresponding Markov jump systems with actuator time delay to be H‐infinity stable and with some fault‐tolerant performances. First, based on an integral transformation, the Markov jump systems with actuator time delay are described in a system description with a distributed time‐delay item. Second, based on utilizing the linear matrix inequality theory, a positive energy functional, which includes a double integral item, is constructed. Then, after some mathematical operations, a sufficient condition is obtained for the Markov jump systems with actuator time delay to be H‐infinity stable. If the condition is solvable, fault‐tolerant controller can be gotten to guarantee the controlled system to be H‐infinity stable no matter there are some actuator faults existing in the system or not. Finally, examples are given to show the usefulness of the obtained theorem.