2014
DOI: 10.1155/2014/676121
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Design of Fuzzy Fractional PD + I Controllers Tuned by a Genetic Algorithm

Abstract: The fractional-order concepts are a useful tool to describe several physical phenomena, and nowadays they are widely used in the field of automatic control. A genetic algorithm (GA) is a search process for finding approximate solutions in optimization problems. The GA provides further flexibility and robustness that are unique for signal process. In this paper we consider the development of an optimal fuzzy fractional PD + I controller in which the parameters are tuned by a GA. The performance of the proposed … Show more

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Cited by 8 publications
(6 citation statements)
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“…In some practical applications, it is verified that the FOPID controller has better disturbance rejection ability and less sensitivity to the parameter variations of the control system than the traditional PID controller [11]. As a result, the common PID controller is gradually replaced by the FOPID controller with the support of the researchers [12][13][14]. Therefore, the FOPID controller is adopted to control the road feeling of the SBW system in this paper.…”
Section: Introductionmentioning
confidence: 95%
“…In some practical applications, it is verified that the FOPID controller has better disturbance rejection ability and less sensitivity to the parameter variations of the control system than the traditional PID controller [11]. As a result, the common PID controller is gradually replaced by the FOPID controller with the support of the researchers [12][13][14]. Therefore, the FOPID controller is adopted to control the road feeling of the SBW system in this paper.…”
Section: Introductionmentioning
confidence: 95%
“…Some of the recent works that utilize the PI λ D μ controller are presented in [15]- [17]. This generalization was also utilized in the differentiation and integration actions of the conventional fuzzy logic controller, resulting in a fractional order fuzzy logic controller [18], [19]. For nonlinear controllers, such as sliding mode controllers (SMC), fractional calculus was introduced in the sliding surface by taking the fractional order derivative and/or integral of the state variables [20]- [27].…”
Section: Introductionmentioning
confidence: 99%
“…optimization of fuzzy fractional controller using PSO algorithm improved the results for many kinds of systems, since it gives additional flexibility to the design. In this line of thought many applications of this type of controller were developed in the last few years Jesus and Barbosa, 2014).…”
Section: Introductionmentioning
confidence: 99%