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H ∞ control synthesis of switched discrete‐time fuzzy systems via hybrid approach
Author(s) -
Xiang Weiming,
Xiao Jian
Publication year - 2012
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.2043
Subject(s) - control theory (sociology) , fuzzy logic , dwell time , controller (irrigation) , computer science , nonlinear system , compensation (psychology) , hybrid system , fuzzy control system , control engineering , discrete time and continuous time , state (computer science) , class (philosophy) , control (management) , mathematics , engineering , algorithm , artificial intelligence , medicine , psychology , clinical psychology , statistics , physics , quantum mechanics , machine learning , psychoanalysis , agronomy , biology
SUMMARY Because switched system with nonlinear subsystems shows great difficulties in controller design by conventional methodologies, the fuzzy logic theory, which has been proven to be a practical and effective way to deal with the analysis and synthesis problems for complex nonlinear systems, is applied to design a class of hybrid fuzzyH ∞controller for switched discrete‐time fuzzy system in this paper. On a basis of one step prediction of switching signal, a hybrid parallel distributed compensation (PDC) control strategy is proposed, which includes two necessary parts: the state feedback controllers for subsystems and the update feedback controllers for switching instants. In both arbitrary and dwell‐time switching cases investigated, it is proved that the hybrid PDC controller contains less conservativeness than conventional switched PDC controller. Numerical examples are given to illustrate the effectiveness and advantages of the proposed approach. Copyright © 2012 John Wiley & Sons, Ltd.