Open AccessGuaranteed cost control for Markovian jump systems with controller failures
Author(s) -
Wang Guoliang,
Xu Lei
Publication year - 2019
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.2018.6200
Subject(s) - control theory (sociology) , dwell time , controller (irrigation) , lyapunov function , jump , computer science , control (management) , stability (learning theory) , markov process , regular polygon , mathematics , nonlinear system , statistics , physics , quantum mechanics , artificial intelligence , agronomy , biology , medicine , clinical psychology , geometry , machine learning
This study focuses on the guaranteed control problem of continuous‐time Markovian jump systems. Different from the traditionally guaranteed controllers, a kind of failure‐tolerant controller is proposed. Particularly, the dwell times of controller suffering failures or not are constants. A Lyapunov function approach is used to analyse its stability, which could lead to convex conditions depending on such dwell times. Because of these conditions being LMIs, they could be tested and used to compute control gains easily. Two examples are used to demonstrate the effectiveness and superiority of the proposed methods.