Journal
FUZZY SETS AND SYSTEMS
Volume 159, Issue 23, Pages 3221-3231Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2008.05.023
Keywords
Intelligent digital redesign (IDR); Takagi-Sugeno (T-S) fuzzy system; Discretization; Firing strength approximation; Uniform semiglobal practical asymptotic stability
Funding
- INHA UNIVERSITY
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This paper sharpens the recently developed intelligent digital redesign (IDR) technique in regard of stability. A major assumption in the previous result was that the firing strength of each fuzzy rule is approximated as its sampled value during a sampling period for efficient discretization of the Takagi-Sugeno (T-S) fuzzy system, by which some unexpected stability might be experienced for certain sampling period as large as the assumption is unrealistic. To clarify results for that case, we refine the IDR condition and prove that the uniformly semiglobal practical asymptotic stability of the sampled-data T-S fuzzy control system by the intelligently redesigned digital fuzzy controller, rather than the global exponential stability shown in the previous result. (C) 2008 Elsevier B.V. All rights reserved.
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