Hybrid Feedback Stabilization of Fuzzy Nonlinear Systems
Author(s) -
Yingqi Zhang,
Caixia Liu,
Xiaowu Mu
Publication year - 2011
Publication title -
journal of control science and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.208
H-Index - 18
eISSN - 1687-5257
pISSN - 1687-5249
DOI - 10.1155/2011/579871
Subject(s) - nonlinear system , fuzzy logic , control theory (sociology) , fuzzy control system , mathematics , class (philosophy) , state (computer science) , control (management) , computer science , artificial intelligence , algorithm , physics , quantum mechanics
This paper is concerned with the problem of stabilizing one family of fuzzynonlinear systems by means of fuzzy quantized feedback. The hybrid control strategyoriginating in earlier work by Brockett and Liberzon(2000) and Liberzon (2003) relies on the possibility of making discrete online adjustments of quantizer parameters. We explore this method here for one class of fuzzy nonlinear systems with fuzzy quantizers affecting the state of the system. New results on thestabilization of the family of fuzzy nonlinear systems are obtained by choosingappropriately quantized strategies. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed method
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