A Stability Condition for Fuzzy Ruled Control Systems
- 1 January 1991
- journal article
- Published by The Society of Instrument and Control Engineers in Transactions of the Society of Instrument and Control Engineers
- Vol. 27 (5) , 532-537
- https://doi.org/10.9746/sicetr1965.27.532
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.Keywords
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