Fuzzy Hyperbolic Neural Network Model and Its Application in H ∞Filter Design

Authors:
Shuxian Lun;Zhaozheng Guo;Huaguang Zhang
Affiliations:
School of Information Science and Engineering, Bohai University, Jinzhou, China 110004 and The Key Laboratory of Complex System and Intelligent Science, Institute of Automation Chinese Academy of ...;School of Information Science and Engineering, Bohai University, Jinzhou, China 110004;School of Information Science and Engineering, Northeastern University, Shenyang, China 110004
Venue:
ISNN '08 Proceedings of the 5th international symposium on Neural Networks: Advances in Neural Networks
Year:
2008

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Abstract

This paper studies H∞filter based ona new fuzzy neural model for signal estimation of nonlinearcontinuous-time systems with time delays. First, a new fuzzy neuralmodel, called fuzzy hyperbolic neural network model (FHNNM), isdeveloped. FHNNM is a combination of the special fuzzy model andthe modified BP neural network. The main advantages of using theFHNNM over traditional fuzzy neural network are that explicitexpression of expert's experience and global analyticaldescription. In addition, by contrast with fuzzy neural networkbased T-S fuzzy model, no premise structure identification is needand no completeness design of premise variables space is need.Next, we design a stable H∞filter basedon the FHNNM using linear matrix inequality (LMI) method.Simulation example is provided to illustrate the design procedureof the proposed method.