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Gustavo A. Madero, Mexico

Pena-Ayala A.,National Polytechnic Institute of Mexico | Sossa-Azuela J.H.,CIC IPN
Intelligent Systems Reference Library | Year: 2014

In this chapter we outline a decisions-making approach (DMA) that is based on the representation and simulation of causal phenomena. It applies an extension of the traditional Fuzzy Cognitive Maps called Rules-based Fuzzy Cognitive Maps (RBFCM). This version depicts the qualitative flavor of the object to be modeled and is grounded on the well-sounded fuzzy logic. As a result of a case study in the educational field, we found empirical evidence of the RBFCM usefulness. Our DMA offers decision-making services to the sequencing module of an intelligent and adaptive web-based educational system (IAWBES). According to the studentcentered education paradigm, an IAWBES elicits learners’ traits to adapt lectures to enhance their apprenticeship. This RBFCM based DMA models the teachinglearning scenery, simulates the bias exerted by authored lectures on the student’s learning, and picks the lecture option that offers the highest achievement. The results reveal that the experimental group reached higher learning than the control group. © Springer-Verlag Berlin Heidelberg 2014.

Aguilar-Ibanez C.,CIC IPN | Suarez-Castanon M.S.,Escuela Superior de Computo IPN
International Journal of Control | Year: 2010

A nonlinear controller for the stabilisation of the Furuta pendulum is presented. The control strategy is based on a partial feedback linearisation. In a first stage only the actuated coordinate of the Furuta pendulum is linearised. Then, the stabilising feedback controller is obtained by applying the Lyapunov direct method. That is, using this method we prove local asymptotic stability and demonstrate that the closed-loop system has a large region of attraction. The stability analysis is carried out by means of LaSalle's invariance principle. To assess the controller effectiveness, the results of the corresponding numerical simulations are presented. © 2010 Taylor & Francis.

Jimenez S.,National University of Colombia | Gonzalez F.A.,National University of Colombia | Gelbukh A.,CIC IPN
Information Sciences | Year: 2016

The soft cardinality function generalizes the concept of counting measure of the classic cardinality of sets. This function provides an intuitive measure of the amount of elements in a collection (i.e. a set or a bag) exploiting the similarities among them. Although soft cardinality was first proposed in an ad-hoc way, it has been successfully used in various tasks in the field of natural language processing. In this paper, a formal definition of soft cardinality is proposed together with an analysis of its boundaries, monotonicity property and a method for constructing similarity functions. Additionally, an empirical evaluation of the model was carried out using synthetic data. © 2016 Elsevier Inc.

Aguilar-Ibanez C.,CIC IPN | Martinez-Guerra R.,CINVESTAV | Aguilar-Lopez R.,CINVESTAV | Mata-Machuca J.L.,CINVESTAV
Physics Letters, Section A: General, Atomic and Solid State Physics | Year: 2010

In this Letter we address the synchronization and parameter estimation of the uncertain Rikitake system, under the assumption the state is partially known. To this end we use the master/slave scheme in conjunction with the adaptive control technique. Our control approach consists of proposing a slave system which has to follow asymptotically the uncertain Rikitake system, refereed as the master system. The gains of the slave system are adjusted continually according to a convenient adaptation control law, until the measurable output errors converge to zero. The convergence analysis is carried out by using the Barbalat's Lemma. Under this context, uncertainty means that although the system structure is known, only a partial knowledge of the corresponding parameter values is available. © 2010 Elsevier B.V. All rights reserved.

Aguilar-Ibaez C.,CIC IPN | Sira-Ramirez H.,CINVESTAV | Suarez-Castan M.S.,ESCOM IPN
Mathematical Problems in Engineering | Year: 2011

We propose a flatness based approach for controlling the inverted pendulum cart system, under the assumption that the pendulum state is always located on a vicinity of its unstable equilibrium point. This is achieved by representing the original system, as a chain of integrators with an additive nonlinear state dependent perturbation. After discarding the small nonlinear perturbation, we may directly use design tools provided by the the flatness approach. The effectiveness and robustness of the obtained control law, which turned out to have a large domain of attraction, were numerically assessed in the context of stabilization and, also, for a reference oscillatory trajectory tracking task. © 2011 Carlos Aguilar-Ibez et al.

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