Analytical structure and stability analysis of a fuzzy PID controller

Mohan, B M and Ghosh, Arpita (2008) Analytical structure and stability analysis of a fuzzy PID controller. Applied Soft Computing, 8 . pp. 749-758.

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Analytical structure for a fuzzy PID controller is introduced by employing two fuzzy sets for each of the three input variables and four fuzzy sets for the output variable. This structure is derived via left and right trapezoidal membership functions for inputs, trapezoidal membership functions for output, algebraic product triangular norm, bounded sum triangular co-norm, Mamdani minimum inference method, and center of sums (COS) defuzzification method. Conditions for bounded-input bounded-output (BIBO) stability are derived using the Small Gain Theorem. Finally, two numerical examples along with their simulation results are included to demonstrate the effectiveness of the simplest fuzzy PID controller.

Item Type:Article
Official URL/DOI:
Uncontrolled Keywords:Fuzzy PID controllers; Analytical structure; BIBO stability
Divisions:Material Science and Technology
ID Code:5748
Deposited On:06 Jul 2012 17:07
Last Modified:03 Sep 2012 17:15
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