Skip to main content
Top

2003 | Book

Fuzzy Model Identification for Control

Author: János Abonyi

Publisher: Birkhäuser Boston

insite
SEARCH

About this book

Overview Since the early 1990s, fuzzy modeling and identification from process data have been and continue to be an evolving subject of interest. Although the application of fuzzy models proved to be effective for the approxima­ tion of uncertain nonlinear processes, the data-driven identification offuzzy models alone sometimes yields complex and unrealistic models. Typically, this is due to the over-parameterization of the model and insufficient in­ formation content of the identification data set. These difficulties stem from a lack of initial a priori knowledge or information about the system to be modeled. To solve the problem of limited knowledge, in the area of modeling and identification, there is a tendency to blend information of different natures to employ as much knowledge for model building as possible. Hence, the incorporation of different types of a priori knowledge into the data-driven fuzzy model generation is a challenging and important task. Motivated by our research into this topic, our book presents new ap­ proaches to the construction of fuzzy models for model-based control. New model structures and identification algorithms are described for the effec­ tive use of heterogenous information in the form of numerical data, qualita­ tive knowledge and first-principle models. By exploiting the mathematical properties of the proposed model structures, such as invertibility and local linearity, new control algorithms will be presented.

Table of Contents

Frontmatter
Chapter 1. Introduction
Abstract
Abstract This book presents new approaches to the construction of fuzzy models for model-based control. New model structures and identification algorithms are described for the effective use of heterogenous information in the form of numerical data, qualitative knowledge and first-principle models. By exploiting the mathematical properties of the proposed model structures, such as invertibility and local linearity, new control algorithms have been developed which are closely related to inverse model-based control, model predictive control, block-oriented model-based control, and multiple model adaptive control. In this chapter the background and the concept of this framework are described.
János Abonyi
Chapter 2. Fuzzy Model Structures and their Analysis
Abstract
Abstract This chapter introduces fuzzy modeling and describes the structures of fuzzy models utilized throughout this book. The successful control-relevant application of fuzzy models requires generating elements of model-based controllers, such as model inversion and linearization. The second part of this chapter presents these useful tools.
János Abonyi
Chapter 3. Fuzzy Models of Dynamical Systems
Abstract
Model-based engineering tools require the availability of suitable dynamical models. Consequently, the development of a suitable nonlinear model is of paramount importance. Given the high expectations of fuzzy models in the area of identification and control, it becomes necessary to analyze and extract control-relevant information from fuzzy models of dynamical processes. Hence, in this chapter after an introduction to the data-driven modeling of dynamical systems, the following characteristics of TS fuzzy models are analyzed:
  • Fuzzy models of dynamical systems
  • State-space realization of the model
  • Prediction of the equilibrium points
  • Stability of the equilibrium points
  • Extraction of a linear dynamical model around an operating point Based on this analysis, new fuzzy model structures
  • Hybrid F\izzy Convolution Model
  • Fuzzy Hammerstein Model
are proposed; these models can more effectively represent special nonlinear dynamic processes than can conventional fuzzy systems.
János Abonyi
Chapter 4. Fuzzy Model Identification
Abstract
Abstract Fuzzy model identification is an effective tool for the approx- imation of uncertain nonlinear systems on the basis of measured data. The identification of a fuzzy model using input-output data can be divided into two tasks: structure identification, which determines the type and number of the rules and membership functions, and parameter identification. For both structural and parametric adjustment, prior knowledge plays an im- portant role. Hence, in this book the rules of the fuzzy system are designed based on the available a priori knowledge and the parameters of the mem- bership, and the consequent functions are adapted in a learning process based on the available input-output data. Hence, this chapter is devoted mainly to the parameter identification of the proposed fuzzy models, but certain structure identification tools are also discussed.
János Abonyi
Chapter 5. Fuzzy Model based Control
Abstract
Abstract This chapter discusses how the proposed fuzzy models can be used in model-based control. The developed Takagi-Sugeno, Hybrid Fuzzy Convolution and Fuzzy Hammerstein dynamic fuzzy models will be applied in several inversion and linearization-based control schemes. Taking the identification of the Takagi-Sugeno fuzzy models into account, guidelines will be given as which control configuration is most advantageous.
János Abonyi
Backmatter
Metadata
Title
Fuzzy Model Identification for Control
Author
János Abonyi
Copyright Year
2003
Publisher
Birkhäuser Boston
Electronic ISBN
978-1-4612-0027-7
Print ISBN
978-1-4612-6579-5
DOI
https://doi.org/10.1007/978-1-4612-0027-7