Dissertation > Excellent graduate degree dissertation topics show

Fuzzy Systems Based on Center of Gravity and Fuzzy Inference Modeling Method

Author: YangXue
Tutor: YuanXueHai
School: Dalian University of Technology
Course: Control Theory and Control Engineering
Keywords: Fuzzy Transformation Universal Approximation Nonlinear Differential Equation State Space Model Linear Edge
CLC: TP18
Type: Master's thesis
Year: 2011
Downloads: 59
Quote: 0
Read: Download Dissertation

Abstract


The traditional modeling methods include mechanism modeling method, system identification modeling method, and fuzzy reasoning modeling method, etc. This paper adopts a new fuzzy reasoning modeling method for DISO system, i.e. the fuzzy transformation is introduced, and then based on the SISO center of gravity fuzzy system, constructing DISO fuzzy system by fuzzy transformation. Main contents are as follows:First of all, it introduces the fuzzy system, describes the development of fuzzy system, proposes the difficulty of constructing the DISO center of gravity fuzzy system, and gives the implications of this paper.Secondly, it gives the SISO center of gravity fuzzy system, DISO center of gravity fuzzy system and their corresponding probability distributions, the results show that the center of gravity fuzzy systems are regression functions; their digital characteristics meet the certain laws. Two DISO fuzzy systems are constructed respectively from the SISO center of gravity fuzzy systems based on circle operator of Goguen implication and Mamdani implication operator by fuzzy transformation. Compared with the center of gravity fuzzy system, the tedious process of computing is eliminated in these two fuzzy systems. The proof and simulate results show that the fuzzy systems based on fuzzy transformation have universal approximation and high approximate accuracy.Thirdly, using the fuzzy systems based on fuzzy transformation, both time-varying and time-invariant free movement models of second-order can be expressed as nonlinear differential equations of second-order with variable coefficients. It’s a new method to realize the mathematical model with the form of differential equation. In order to be applied to reasoning the state of system conveniently, these two free movement models are expressed as the state space models respectively.Finally, using the linear edge, differential equation model of the time-invariant system based on circle operator of Goguen implication is transformed to linear differential equation model, and the simulate results show that the linear model still has high approximate accuracy.

Related Dissertations

  1. Methodology Study on Prediction and Determinants of Total Health Expenditures in China,R197.1
  2. Discussion on the problems of the economic zone on the west side of the Straits intensify efforts to develop,F127
  3. Some Discussions on Intuitionistic Fuzzy Finite State Machines,TP18
  4. Research on International Competitiveness of Shipbuilding Industry in China,F426.474
  5. Chinese metal futures markets progressive empirical analysis of the effectiveness and relative efficiency,F224
  6. Study on Relationgship of Regional Financial Development and Economic Growth,F832;F124
  7. Asset Prices’ Influence on Monetary Policy,F822.0
  8. Differential Research and Improvement for Singularly Perturbated Boundary Value Problems under Nagumo Condition,O175.8
  9. Sliding Mode Control of AC/AC Quantum Resonant Converter,TM46
  10. Study of Model Predictive Control Methods Based on Subspace Identification,O231
  11. Research of China Resident Consumption Function,F126.1
  12. Life Prediction of Satellite Key Components Based on RVM-PF,V423.42
  13. Traveling Wave Solutions for Two Classes of Nonlinear Wave Equations,O175.29
  14. Studies on Oscillation of the Solution of Second-order Differential Equations and Difference Equations,O175.2
  15. Research of Time Series Data Base on the State_Space,O211.61
  16. Study on Symbolic Computation of Analytic Approximating Solutions for Nonlinear Differential Equations,O175
  17. Several types of boundary value problem of nonlinear differential equations,O175.8
  18. The Inflation and Deflation Effects of Monetary Policy,F822.0;F822.5
  19. The Research on Expense of Shanxi Residentants,F126
  20. Probability Theory and Fuzzy Systems Based on Double Implications,TP13
  21. Positive Research on the Relationship Between China’s Energy Consumption and Economic Growth,F426.2;F124

CLC: > Industrial Technology > Automation technology,computer technology > Automated basic theory > Artificial intelligence theory
© 2012 www.DissertationTopic.Net  Mobile