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980 results on '"Tenreiro Machado, J. A."'

52. Multi-objective MaxiMin Sorting Scheme

Author

Solteiro Pires, E. J., de Moura Oliveira, P. B., Tenreiro Machado, J. A., Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Coello Coello, Carlos A., editor, Hernández Aguirre, Arturo, editor, and Zitzler, Eckart, editor

Published
2005
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82. New discrete-time fractional derivatives based on the bilinear transformation: Definitions and properties

Author

Ortigueira, Manuel D., Tenreiro Machado, J. A., CTS - Centro de Tecnologia e Sistemas, and UNINOVA-Instituto de Desenvolvimento de Novas Tecnologias

Subjects
Discrete-time, bilinear transformation, Time scale, Fractional derivative, General
Abstract

UIDB/00066/2020 In this paper we introduce new discrete-time derivative concepts based on the bilinear (Tustin) transformation. From the new formulation, we obtain derivatives that exhibit a high degree of similarity with the continuous-time Grünwald-Letnikov derivatives. Their properties are described highlighting one important feature, namely that such derivatives have always long memory. publishersversion published

Published
2020

83. Performance of fractional PID algorithms controlling nonlinear systems with saturation and backlash phenomena

Author

Barbosa, Ramiro S., Tenreiro Machado, J. A., and Galhano, Alexandra M.

Subjects
Mathematical analysis -- Methods -- Research, Chaos theory -- Control -- Research -- Methods, Calculus -- Methods -- Research, Feedback control systems -- Research -- Evaluation, Algorithms -- Evaluation -- Research -- Methods, Physics, Algorithm, Control, Evaluation, Research, Methods
Abstract

The development of fractional-order controllers is currently one of the most promising fields of research. However, most of the work in this area addresses the case of linear systems. This paper reports on the analysis of fractional-order control of nonlinear systems. The performance of discrete fractional-order PID controllers in the presence of several nonlinearities is discussed. Some results are provided that indicate the superior robustness of such algorithms. Key words: Fractional calculus, fractional order control, PID, nonlinear systems, 1. INTRODUCTION The concepts involved with fractional calculus (FC) theory--the area of mathematics that handles derivatives and integrals to an arbitrary order (real or complex order)--are, nowadays, applied in almost [...]

Published
2007

84. Creation of Neimark-Sacker Bifurcation for a Three-Degree-of-Freedom Vibro-Impact System with Clearances

Author

Lacarbonara, W, Balachandran, B, Ma, J, Tenreiro Machado, J, Stepan, G, Xu, H, Ji, J, Lacarbonara, W, Balachandran, B, Ma, J, Tenreiro Machado, J, Stepan, G, Xu, H, and Ji, J

Abstract

The impulsive state feedback control is used to create Neimark-Sacker bifurcation for a three-degree-of-freedom vibro-impact system with clearances. The linear control gains are determined to guarantee the existence of Neimark-Sacker bifurcation by using the explicit criteria of Neimark-Sacker bifurcation without directly using eigenvalues. Differently, the nonlinear control gains are selected to determine the direction and stability of Neimark-Sacker bifurcation by using center manifold reduction theory and normal form approach. The amplitude of the created invariant cycle from Neimark-Sacker bifurcation is analytically obtained to achieve the control of the amplitude by selecting appropriate nonlinear control gains. Numerical experiments are provided to show the effectiveness of the proposed control method.

Published
2020

85. Fractional Order Dynamical Phenomena in a GA

Author

Solteiro Pires, E. J., Tenreiro Machado, J. A., de Moura Oliveira, P. B., Goos, Gerhard, editor, Hartmanis, Juris, editor, van Leeuwen, Jan, editor, Cantú-Paz, Erick, editor, Foster, James A., editor, Deb, Kalyanmoy, editor, Davis, Lawrence David, editor, Roy, Rajkumar, editor, O’Reilly, Una-May, editor, Beyer, Hans-Georg, editor, Standish, Russell, editor, Kendall, Graham, editor, Wilson, Stewart, editor, Harman, Mark, editor, Wegener, Joachim, editor, Dasgupta, Dipankar, editor, Potter, Mitch A., editor, Schultz, Alan C., editor, Dowsland, Kathryn A., editor, Jonoska, Natasha, editor, and Miller, Julian, editor

Published
2003
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