Relaxed LMI Conditions for Local Stability and Local Stabilization of Continuous-Time Takagi-Sugeno Fuzzy Systems

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This paper addresses the problems of local stability analysis, local stabilization, and computation of invariant subsets of the domain of attraction for continuous-time Takagi-Sugeno fuzzy systems. Improvements on the existing stability and stabilization conditions are achieved through the reduction of conservatism. To release the conservatism further, the so-called multidimensional fuzzy summation approach is adopted. The design and analysis conditions are expressed as one-parameter minimization problems which can be solved via a sequence of linear matrix inequality optimizations or treated as eigenvalue problems. Examples are given to show the validity of the proposed method.
Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Issue Date
2014-03
Language
English
Article Type
Article
Citation

IEEE TRANSACTIONS ON CYBERNETICS, v.44, no.3, pp.394 - 405

ISSN
2168-2267
DOI
10.1109/TCYB.2013.2256781
URI
http://hdl.handle.net/10203/272851
Appears in Collection
EE-Journal Papers(저널논문)
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