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Stochastic faulty actuator‐based reliable control for a class of interval time‐varying delay systems with Markovian jumping parameters
Author(s) -
Gu Zhou,
Yue Dong,
Wang Daobo,
Liu Jingliang
Publication year - 2011
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.941
Subject(s) - control theory (sociology) , interval (graph theory) , actuator , probabilistic logic , fault (geology) , computer science , markov process , lyapunov function , mathematics , control (management) , nonlinear system , statistics , physics , combinatorics , artificial intelligence , quantum mechanics , seismology , geology
The paper addresses the problem of a reliable control for interval time‐varying delay system with Markovian jumping parameters. A new practical actuator fault model, by assuming that the actuator fault obeys a certain probabilistic distribution, is considered. Delay‐dependent conditions for the solvability of these problems are obtained via new parameter‐dependent Lyapunov function. The closed‐loop systems are stochastically stable not only when all actuators are operational, but also in case of some actuator failures. Numerical examples are given to illustrate the effectiveness of the proposed design method. Copyright © 2010 John Wiley & Sons, Ltd.