Application of practical fuzzy arithmetic to fuzzy internal model control

作者：Vermeiren Laurent^*; Guerra Thierry Marie; Lamara Hakim

来源：Engineering Applications of Artificial Intelligence, 2011, 24(6): 1006-1017.

DOI：10.1016/j.engappai.2011.04.015

• Fuzzy arithmetic
• Fuzzy number
• Fuzzy model inversion
• Internal model control
• Weighted fuzzy fusion
• phi-calculus arithmetic

This paper applies a new fuzzy arithmetic of interval calculus and fuzzy quantities to automatic control. Practical results are obtained which overcome those based on the extension principle or alpha-cuts. The proposed approach is based on a different representation of fuzzy numbers, though most common arithmetic operators cannot be directly applied for designing a fuzzy controller due to the unjustified overestimation effect. To avoid this phenomenon, a procedure based on an "exact" resolution calculus is proposed, whose solutions allow creating a fuzzy internal model control scheme. The validity of the new method is illustrated by a real-time educational engineering application on classical control design: a coupled tanks system.

• 出版日期2011-9