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Robust satisfactory fault‐tolerant control of continuous‐time interval systems with time‐varying state and input delays
Author(s) -
Zhang Dengfeng,
Lu Baochun,
Wang Hong,
Wang Zhiquan
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.1012
Subject(s) - control theory (sociology) , interval (graph theory) , actuator , fault tolerance , quadratic equation , linear matrix inequality , controller (irrigation) , computer science , bounded function , state (computer science) , fault (geology) , norm (philosophy) , attenuation , control (management) , mathematical optimization , mathematics , algorithm , distributed computing , mathematical analysis , geometry , combinatorics , artificial intelligence , law , political science , agronomy , biology , physics , optics , seismology , geology
SUMMARY With the performance constraints on exponential stability, H ∞ norm of disturbance attenuation and upper bound of quadratic cost performance, the satisfactory and passive fault‐tolerant control problem is investigated for a class of interval systems with time‐varying input and state delays in the case of possible actuator faults. The bounded‐varying dynamics of actuator faults is described by interval matrix, which is more general and can be dealt with by the interval system theory. The delay‐dependent satisfactory fault‐tolerant controller design is developed based on multi‐objective optimization strategy. The results are derived in the forms of linear matrix inequalities, which is convenient to be solved in practice. Simulative example is presented to illustrate the effectiveness and necessity of the proposed fault‐tolerant control strategy. Copyright © 2011 John Wiley & Sons, Ltd.