59 documents found, page 1 of 6
Application of integer and fractional models in electrochemical systems
Jesus, Isabel S.; Machado, J. A. TenreiroThis paper describes the use of integer and fractional electrical elements, for modelling two electrochemical systems. A first type of system consists of botanical elements and a second type is implemented by electrolyte processes with fractal electrodes. Experimental results are analyzed in the frequency domain, and the pros and cons of adopting fractional-order electrical components for modelling these system...
Realization of Fractional-Order Controllers: Analysis, Synthesis and Applicatio...
Barbosa, Ramiro S.; Jesus, Isabel S.; Silva, Manuel S.; Machado, J. A. TenreiroThe synthesis and application of fractional-order controllers is now an active research field. This article investigates the use of fractional-order PID controllers in the velocity control of an experimental modular servo system. The system consists of a digital servomechanism and open-architecture software environment for real-time control experiments using MATLAB/Simulink. Different tuning methods will be emp...
Application of Fractional Calculus in Engineering
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 syst...
Fractional control with a smith predictor
Jesus, Isabel S.; Machado, J. A. TenreiroThe advantageous use of fractional calculus (FC) in the modeling and control of many dynamical systems has been recognized. In this paper, we study the control of a heat diffusion system based on the application of the FC concepts. Several algorithms are investigated and compared, when integrated within a Smith predictor control structure. Simulations are presented assessing the performance of the proposed frac...
Application of fractional calculus in engineering
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 syst...
Application of fractional order concepts in the study of electrical potential
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) a...
Realization of fractional-order controllers: analysis, synthesis and applicatio...
Barbosa, Ramiro S.; Jesus, Isabel S.; Silva, Manuel F.; Machado, J. A. TenreiroThe synthesis and application of fractional-order controllers is now an active research field. This article investigates the use of fractional-order PID controllers in the velocity control of an experimental modular servo system. The systern consists of a digital servomechanism and open-architecture software environment for real-time control experiments using MATLAB/Simulink. Different tuning methods will be em...
Application of Fractional Order Concepts in the Study of Electrical Potential
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) a...
Application of genetic algorithms in the design of an electrical potential of f...
Jesus, Isabel S.; Machado, J. A. Tenreiro; Barbosa, Ramiro S.Fractional calculus (FC) is currently being applied in many areas of science and technology. In fact, this mathematical concept helps the researches to have a deeper insight about several phenomena that integer order models overlook. Genetic algorithms (GA) are an important tool to solve optimization problems that occur in engineering. This methodology applies the concepts that describe biological evolution to ...
Control of a heat diffusion system through a fractional order nonlinear algorithm
Jesus, Isabel S.; Tenreiro Machado, J. A.; Barbosa, RamiroThe application of the FC concepts has increased significantly in different fields of science and engineering, because FC captures properties that classical integer order models neglect. This paper studies a heat diffusion system, that is described through the fractional operator s0.5, under the control of a fractional nonlinear algorithm. The tuning of the algorithm follows the optimization of performance cont...