A Hammerstein recurrent neurofuzzy network with an online minimal realization learning algorithm

Jeen-Shing Wang, Yen Ping Chen

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

This paper presents a Hammerstein recurrent neurofuzzy network associated with an online minimal realization learning algorithm for dealing with nonlinear dynamic applications. We fuse the concept of states in linear systems into a neurofuzzy framework so that the whole structure can be expressed by a state-space representation. An online minimal realization learning algorithm has been developed to find a controllable and observable state-space model of minimal size from the input-output measurements of a given system. Such an idea can simultaneously resolve the problem of the determination of a minimal structure and the difficulty of network stability analysis. The advantages of our approach include: 1) our recurrent network is capable of translating the complicated dynamic behavior of a nonlinear system into a minimal set of linguistic fuzzy dynamical rules and into state-space representation as well and 2) an online minimal realization learning algorithm unifies an order determination algorithm, a hybrid parameter initialization method, and a recursive recurrent learning algorithm into a systematic procedure to identify a minimal structure with satisfactory performance. Performance evaluations on benchmark examples as well as real-world applications have successfully validated the effectiveness of our approach.

Original languageEnglish
Pages (from-to)1597-1612
Number of pages16
JournalIEEE Transactions on Fuzzy Systems
Volume16
Issue number6
DOIs
Publication statusPublished - 2008 Dec 1

Fingerprint

Minimal Realization
Neuro-fuzzy
Learning algorithms
Learning Algorithm
State-space Representation
Recurrent Networks
Network Analysis
Minimal Set
State-space Model
Electric fuses
Real-world Applications
Initialization
Linguistics
Dynamic Behavior
Nonlinear Dynamics
Linear systems
Performance Evaluation
Nonlinear systems
Stability Analysis
Resolve

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computational Theory and Mathematics
  • Artificial Intelligence
  • Applied Mathematics

Cite this

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A Hammerstein recurrent neurofuzzy network with an online minimal realization learning algorithm. / Wang, Jeen-Shing; Chen, Yen Ping.

In: IEEE Transactions on Fuzzy Systems, Vol. 16, No. 6, 01.12.2008, p. 1597-1612.

Research output: Contribution to journalArticle

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