2012
DOI: 10.1007/978-3-642-24663-0
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Type-2 Fuzzy Logic in Intelligent Control Applications

Abstract: We describe the use of Ant Colony Optimization (ACO) for the ball and beam control problem, in particular for the problem of tuning a fuzzy controller of Sugeno type. In our case study, the controller has four inputs, each of them with two membership functions, we consider the interpolation point for every pair of membership function as the main parameter and their individual shape as secondary ones in order to achieve the tuning of the fuzzy controller by using an ACO algorithm [15]. Simulation results show t… Show more

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Cited by 84 publications
(40 citation statements)
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“…Three widely used performance criteria are used [38], for comparison between type-1 and type-2 fuzzy logic controllers, these are: integral of square error (ISE), integral of the absolute value of the error (IAE), and integral of the time multiplied by the absolute value of the error (ITAE). The Table.…”
Section: Comparative Analysis Of the Resultsmentioning
confidence: 99%
“…Three widely used performance criteria are used [38], for comparison between type-1 and type-2 fuzzy logic controllers, these are: integral of square error (ISE), integral of the absolute value of the error (IAE), and integral of the time multiplied by the absolute value of the error (ITAE). The Table.…”
Section: Comparative Analysis Of the Resultsmentioning
confidence: 99%
“…It can also be represented by: (14) where ∬ denotes union over all admissible x and u. The upper and lower membership functions are defined by μ Ã ̅̅̅ (x) x ∈ X and μ Ã (x) x ∈ X respectively, as follows: μ Ã ̅̅̅ (x) = FOU(Ã) (15) [21] and…”
Section: Figure1twin Rotor Mimo Systemmentioning
confidence: 99%
“…This difference is mainly associated with the nature of the membership functions where type-reducer is needed due to the added degree in the kind of fuzzy sets. In this article, we proposed the fuzzy controller is structure by singleton fuzziffication and produce the inter-face engine Mamdani and the center of sets method type reducer [33] and KM algorithme for defuzzification. The input variable are the plasma glucose construction and the change rate of error respectively, and the insulin injection rate take into account as the output.…”
Section: Augmented Minimal Modelmentioning
confidence: 99%