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Fault tolerant control using virtual actuator for continuous‐time Lipschitz nonlinear systems
Author(s) -
Khosrowjerdi Mohammad Javad,
Barzegary Soheila
Publication year - 2013
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3002
Subject(s) - control theory (sociology) , actuator , linear matrix inequality , lipschitz continuity , nonlinear system , controller (irrigation) , fault tolerance , computer science , stability (learning theory) , generalization , fault (geology) , control engineering , engineering , control (management) , mathematics , mathematical optimization , artificial intelligence , distributed computing , mathematical analysis , physics , quantum mechanics , machine learning , seismology , agronomy , biology , geology
SUMMARY In this brief, we extend the existing results on fault tolerant control via virtual actuator approach to a class of systems with Lipschitz nonlinearities to maintain the closed‐loop stability after actuator faults. This generalization is established by relying on the input‐to‐state stability properties of cascaded systems. The virtual actuator block, placed between faulty plant and nominal controller, generates useful input signals for faulty plant by using output signals of the nominal controller to guarantee the closed‐loop stability in the presence of actuator faults. This design problem is reduced to a matrix inequality that can be turned to an LMI by fixing a variable to a constant value and solving the resulting LMI feasibility problem. The proposed fault tolerant control method is successfully evaluated using a nonlinear system. Copyright © 2013 John Wiley & Sons, Ltd.