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Analysis and synthesis of control systems

Sufficient stability condition for control systems with one-dimensional fuzzy inference blocks

A. A. Uskov

Russian University of Cooperation

Abstract: The paper proposes sufficient condition for stability of closed control systems with one-dimensional fuzzy inference blocks. The cases of most common systems management algorithms of fuzzy inference — Sugeno–Takagi and Tsukamoto are given. The obtained results can be used in engineering practice in the development of fuzzy control systems of the class considered herein.

Keywords: fuzzy inference algorithm, fuzzy control, fuzzy control system, asymptotic stability, stability criterion.

UDC: 519.254