Abstract:
This paper presents the decomposition property of fuzzy systems using a simple, constructive, decomposition procedure. That is, by properly dividing the input space into ...Show MoreMetadata
Abstract:
This paper presents the decomposition property of fuzzy systems using a simple, constructive, decomposition procedure. That is, by properly dividing the input space into sub-input spaces, a general fuzzy system is decomposed into several sub-fuzzy systems which are the simplest fuzzy systems in the sub-input spaces. Based on the decomposition property of fuzzy systems, the analysis of fuzzy systems can be divided into two steps: first, analyze the properties of the simplest fuzzy systems, and then, use the decomposition property to extend the results to general fuzzy systems. Using this idea, two applications of the decomposition property are given. The first is the application to the representation capability analysis of fuzzy systems. The second is the application to the analysis of a class of nonlinear control systems. Then, based on the piecewise affine fuzzy-system model, the existence condition and the design of a stable control for a class of single-input single-output (SISO) nonlinear systems are presented.
Published in: IEEE Transactions on Fuzzy Systems ( Volume: 4, Issue: 2, May 1996)
DOI: 10.1109/91.493909
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- IEEE Keywords
- Index Terms
- Fuzzy System ,
- Decomposition Properties ,
- Analysis System ,
- Control System ,
- Linear Function ,
- Properties Of Systems ,
- General System ,
- Nonlinear Systems ,
- Class Of Systems ,
- Input Space ,
- Multilinear ,
- Piecewise Linear Function ,
- Class Of Nonlinear Systems ,
- Single-input Single-output ,
- Decomposition Procedure ,
- Piecewise Affine ,
- Accurate Estimation ,
- Rule-based ,
- Numerical Data ,
- Proof Of Theorem ,
- Membership Function ,
- Universal Type ,
- Fuzzy Set ,
- Decomposition Theorem ,
- Fuzzy Control ,
- Fuzzy Model ,
- Affine Function ,
- Piecewise Linear Model ,
- Closed-loop System
Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- IEEE Keywords
- Index Terms
- Fuzzy System ,
- Decomposition Properties ,
- Analysis System ,
- Control System ,
- Linear Function ,
- Properties Of Systems ,
- General System ,
- Nonlinear Systems ,
- Class Of Systems ,
- Input Space ,
- Multilinear ,
- Piecewise Linear Function ,
- Class Of Nonlinear Systems ,
- Single-input Single-output ,
- Decomposition Procedure ,
- Piecewise Affine ,
- Accurate Estimation ,
- Rule-based ,
- Numerical Data ,
- Proof Of Theorem ,
- Membership Function ,
- Universal Type ,
- Fuzzy Set ,
- Decomposition Theorem ,
- Fuzzy Control ,
- Fuzzy Model ,
- Affine Function ,
- Piecewise Linear Model ,
- Closed-loop System