The Fuzzy Controller Synthesis With a Specifiedmulti-Dimensional Static Characteristic

Abstract

Аннотация. Нечеткий регулятор представляет собой многомерное нелинейное статическое звено. Для синтеза нечеткого регулятора достаточно определить его желаемую статическую характеристику и настроить его таким образом, чтобы она совпадала с желаемой. В данной работе рассмотрены этапы синтеза нечеткого регулятора по желаемой статической характеристике: формирование лингвистических

Simulation of Multidimensional Non-Linear Processes Based on the Second Order Fuzzy Controller

“…The developed algorithm allows synthesizing a non-linear multilinked object model according to experimental data with a high precision. The fuzzy controller static characteristic is a smoothly variable multidimensional surface [7,8].…”

“…If the terms of input and output linguistic variables are to be varied, the previously developed production rules should yield quite a different result. Thus, in the course of production rules synthesis all linguistic variables terms should be considered as invariable [7,8]. It will greatly facilitate the task of the fuzzy controller synthesis.…”

“…Since the fuzzy controller synthesis algorithm does not depend either on the number of inputs or on the sequence of production rule development, the static characteristic will possess similar properties in all directions [7]. The fuzzy controller outputs are independent, so the algorithm can be applied regardless of the output number.…”

“…Thus, for the fuzzy controller synthesis to be performed, the desired static characteristic must be determined and for the controller to be adjusted, its static characteristic must coincide with the desired one [7]. An example of the multidimensional non-linear model application developed on the basis of the second order fuzzy controller is given in [8].…”