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Optimal fuzzy controller design: Local concept approach

delete2000-04-01
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PRE
AI
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Shinq-Jen Wu
C
Chin‐Teng Lin
DOI:10.1109/91.842151delete
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摘要

摘要

En 中文
In this paper, we present a global optimal and stable fuzzy controller design method for both continuous- and discrete-time fuzzy systems under both finite and infinite horizons. First, a sufficient condition is proposed which indicates that the global optimal effect can be achieved by the fuzzily combined local optimal controllers. Based on this sufficient condition, we derive a local concept approach to designing the optimal fuzzy controller by applying traditional linear optimal control theory, The stability of the entire closed-loop continuous fuzzy system can be ensured by the designed optimal fuzzy controller. The optimal feedback continuous fuzzy system can not only be guaranteed to be exponentially stable, but also be stabilized to any desired degree. Also, the total energy of system output is absolutely finite. Moreover, the resultant feedback continuous fuzzy system possesses an infinite gain margin; that is, its stability is guaranteed no matter how large the feedback gain becomes, Two examples are given to illustrate the proposed optimal fuzzy controller design approach and to demonstrate the proved stability properties.
Keyword:
converse theorem
degree of stability
exponentially stable
finite energy
gain margin
global optimal
Riccati equation
T-S type fuzzy model
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期刊

IEEE Transactions on Fuzzy Systems 封面图
IEEE Transactions on Fuzzy Systems
IF:
11.9
论文数:
5.0K
被引数:
2.9W

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