Premium
Reliable control for interval time‐varying delay systems subjected to actuator saturation and stochastic failure
Author(s) -
Gu Zhou,
Liu Jingliang,
Peng Chen,
Tian Engang
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.1023
Subject(s) - control theory (sociology) , actuator , interval (graph theory) , ellipsoid , probabilistic logic , optimization problem , stability (learning theory) , fault (geology) , mathematics , computer science , mathematical optimization , control (management) , physics , statistics , combinatorics , astronomy , artificial intelligence , machine learning , seismology , geology
SUMMARY This paper is devoted to the problem of reliable control for interval time‐varying delay systems subjected to actuator saturation and stochastic failure. A new practical actuator fault model is proposed by assuming that the actuator fault obeys a certain probabilistic distribution. An optimization problem with LMI constraints is formulated to determine the largest contractively invariant ellipsoid. Delay distribution and fault distribution‐dependent estimations of the domain of attraction are obtained by using the LMI techniques and an optimization method, such that the mean‐square stability of the systems can be guaranteed for given H ∞ performance index γ . Two illustrative examples are exploited to show the effectiveness of the proposed design procedures. Copyright © 2011 John Wiley & Sons, Ltd.