Transactions of the Society of Instrument and Control Engineers
Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654
A Stability Condition for Fuzzy Ruled Control Systems
An Extension of the Circle Criterion
Shinzo KITAMURA
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1991 Volume 27 Issue 5 Pages 532-537

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Abstract

For fuzzy-rule based feedback control systems, a stability condition in the form of an extension of the circle criterion was presented. Nonlinear characteristic of a fuzzy controller with two inputs and one output variables may be restricted in an extended form of the sector condition. This leads to an absolute stability condition (or input-output stability condition) in the frequency domain with a multiplier depending on the form of transfer functions before the fuzzy controller. The condition covers stability problems for many classes of practical fuzzy control systems. Two numerical examples are given.

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