Browsing by Author "Jesus, Isabel S."
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- An evolutionary approach for the synthesis of fractional potentialsPublication . Jesus, Isabel S.; Tenreiro Machado, J. A.The problem of point multipoles with electrical charges and the corre- sponding potential is an important subject in the field of electromagnetism. In this work, it is applied the concept of fractional calculus to define, and to evaluate, the electrical potential of fractional order based in a genetic algorithm (GA) optimization scheme.
- Application of Evolutionary Algorithms in the Study of Fractional Order Electromagnetic PhenomenaPublication . Jesus, Isabel S.; Tenreiro Machado, J. A.The application of evolutionary algorithms in optimization is currently receiving growing interest from researchers with various backgrounds. A genetic algorithm (GA) is a search technique based on the natural selection process that provides a unique flexibility and robustness for process optimization. Recently, a closer look of some phenomena present in electrical systems and the motivation towards the development of comprehensive models, pointed out the requirement for a fractional calculus approach. In this work, it is applied the concept of fractional calculus to define, and to evaluate, the electrical potential of fractional order. Bearing these ideas in mind, the paper addresses the analysis and the synthesis of fractional-order multipoles, based in a GA optimization scheme.
- Application of Fractional Calculus in Control and ElectromagnetismPublication . Tenreiro Machado, J. A.; Barbosa, Ramiro; Jesus, Isabel S.; Silva, Manuel; Reis, Cecília; Figueiredo, LinoThis article illustrates two applications of fractional calculus (FC) in engineering. It has been recognized the advantageous use of this mathematical tool in the modeling and control of many dynamical systems. In this perspective, this paper investigates the use of FC in PID tuning and electrical potential.
- Application of Fractional Calculus in EngineeringPublication . Machado, J. A. Tenreiro; Jesus, Isabel S.; Barbosa, Ramiro; Silva, Manuel; Reis, CecíliaFractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades. It has been recognized the advantageous use of this mathematical tool in the modelling and control of many dynamical systems. Having these ideas in mind, this paper discusses a FC perspective in the study of the dynamics and control of several systems. The paper investigates the use of FC in the fields of controller tuning, legged robots, electrical systems and digital circuit synthesis.
- Application of fractional calculus in engineeringPublication . Machado, J. A. Tenreiro; Jesus, Isabel S.; Barbosa, Ramiro S.; Silva, Manuel F.; Reis, CecíliaFractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades. It has been recognized the advantageous use of this mathematical tool in the modelling and control of many dynamical systems. Having these ideas in mind, this paper discusses a FC perspective in the study of the dynamics and control of several systems. The paper investigates the use of FC in the fields of controller tuning, legged robots, electrical systems and digital circuit synthesis.
- Application of Fractional Calculus in Genetic Algorithms, Transportation Systems and RoboticsPublication . Tenreiro Machado, J. A.; Silva, Manuel; Reis, Cecília; Figueiredo, Lino; Barbosa, Ramiro; Jesus, Isabel S.This article illustrates several applications of fractional calculus (FC). This paper investigates the use of FC in circuit synthesis, traffic systems and robot control.
- Application of fractional calculus in the control of heat systemsPublication . Jesus, Isabel S.; Tenreiro Machado, J. A.The PID controller is by far the most dominating from of feedback in use in the process industries, due to its functional simplicity and performance. In this Work, we apply a generalization of the PID, namely the fractional controller PID, to the heat diffusion system. For the PID tuning are used four performance indices, to find the optimum controller settings by taking advantage of the fractional order B. The effect of actuator aturation and the required control energy are also analyzed.
- Application of fractional calculus in the system modelling and controlPublication . Tenreiro Machado, J. A.; Barbosa, Ramiro; Silva, Manuel; Figueiredo, Lino; Jesus, Isabel S.; Galhano, AlexandraFractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades, due to the progress in the area of chaos that revealed subtle relationships with the FC concepts. In the field of dynamical systems theory some work has been carried out but the proposed models and algorithms are still in a preliminary stage of establishment. Having these ideas in mind, the paper discusses a FC perspective in the study of the dynamics and control of several systems.
- Application of fractional order concepts in the study of electrical potentialPublication . Jesus, Isabel S.; Machado, J. A. TenreiroThe Maxwell equations, expressing the fundamental laws of electricity and magnetism, only involve the integer-order calculus. However, several effects present in electromagnetism, motivated recently an analysis under the fractional calculus (FC) perspective. In fact, this mathematical concept allows a deeper insight into many phenomena that classical models overlook. On the other hand, genetic algorithms (GA) are an important tool to solve optimization problems that occur in engineering. In this work we use FC and GA to implement the electrical potential of fractional order. The performance of the GA scheme and the convergence of the resulting approximations are analyzed.
- Application of Fractional Order Concepts in the Study of Electrical PotentialPublication . Jesus, Isabel S.; Machado, J. A. TenreiroThe Maxwell equations, expressing the fundamental laws of electricity and magnetism, only involve the integer-order calculus. However, several effects present in electromagnetism, motivated recently an analysis under the fractional calculus (FC) perspective. In fact, this mathematical concept allows a deeper insight into many phenomena that classical models overlook. On the other hand, genetic algorithms (GA) are an important tool to solve optmization problems that occur in engineering. In this work we use FC and GA to implement the electrical potencial of fractional order. The performance of the GA scheme and the convergence of the resulting approximations are analyzed.