Publicaciones

2023

1. Synchronization of a new chaotic system using Adaptive Control: Design and Experimental Implementation

   Alfredo Roldán-Caballero, J. Humberto Pérez-Cruz, Eduardo Hernández-Márquez, and 7 more authors

   Complexity, 2023

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   This paper presents the design of an adaptive controller that solves the synchronization control problem of two identical Nwachioma chaotic systems in a master-slave configuration. The closed-loop stability is guaranteed by means of a Lyapunov-like analysis. With the aim of verifying the feasibility and performance of the proposed approach, a comparison with an active control algorithm is developed at the numerical simulation level. Based on such results, the master-slave Nwachioma chaotic system in closed-loop with adaptive control is now being experimentally tested by using two personal computers and two low-cost Arduino UNO boards. The experimental results not only show the good performance of the adaptive control but also that Arduino UNO boards are an excellent option for the experimental setup.

2. Hierarchical flatness-based control for velocity trajectory tracking of the “DC/DC boost Converter–DC Motor” system powered by Renewable Energy

   Ramón Silva-Ortigoza, Alfredo Roldán-Caballero, Eduardo Hernández-Marquez, and 4 more authors

   IEEE Access, 2023

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   In this investigation, a tracking control is designed for the angular velocity of the DC/DC Boost converter–DC motor system. To this end, the dynamics of the power supply, generated through a renewable energy power source, is considered in both the mathematical model and the designed control. This latter is proposed by using a two-level hierarchical approach, where the dynamics of the DC/DC Boost converter and the one associated with the DC motor not only are treated as two independent subsystems, but also they exploit their differential flatness property. For the DC/DC Boost converter, an alternative first-order mathematical model is obtained for designing the low-level voltage control. Whereas, the well known second order mathematical model of the DC motor is used for developing the high-level angular velocity control. The robustness and performance of the hierarchical tracking control are verified via realistic numerical simulations and experimental results by using Matlab-Simulink, a prototype of the system, the DS1104 board, and the renewable energy emulator TDK-Lambda G100-17. The results demonstrate and validate the effectiveness of the proposed approach.

2022

1. Robust flatness-based tracking control for a “full-bridge buck Inverter–DC Motor” system

   Ramón Silva-Ortigoza, Magdalena Marciano-Melchor, Rogelio Ernesto García-Chávez, and 6 more authors

   Mathematics, 2022

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   By developing a robust control strategy based on the differential flatness concept, this paper presents a solution for the bidirectional trajectory tracking task in the “full-bridge Buck inverter–DC motor” system. The robustness of the proposed control is achieved by taking advantage of the differential flatness property related to the mathematical model of the system. The performance of the control, designed via the flatness concept, is verified in two ways. The first is by implementing experimentally the flatness control and proposing different shapes for the desired angular velocity profiles. For this aim, a built prototype of the “full-bridge Buck inverter–DC motor” system, along with Matlab–Simulink and a DS1104 board from dSPACE are used. The second is via simulation results, i.e., by programming the system in closed-loop with the proposed control algorithm through Matlab–Simulink. The experimental and the simulation results are similar, thus demonstrating the effectiveness of the designed robust control even when abrupt electrical variations are considered in the system.

2. The regulation of an electric oven and an inverted pendulum

   Ricardo Balcazar, José de Rubio, Eduardo Orozco, and 7 more authors

   Symmetry, 2022

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   In this research, a proportional integral derivative regulator, a first-order sliding-mode regulator, and a second-order sliding-mode regulator are compared, for the regulation of two different types of mathematical model. A first-order sliding-mode regulator is a method where a sign-mapping checks that the error decays to zero after a convergence time; it has the problem of chattering in the output. A second-order sliding-mode regulator is a smooth method to counteract the chattering effect where the integral of the sign-mapping is used. A second-order sliding-mode regulator is presented as a new class of algorithm where the trajectory is asymptotic and stable; it is shown to greatly improve the convergence time in comparison with other regulators considered. Simulation and experimental results are described in which an electric oven is considered as a stable linear mathematical model, and an inverted pendulum is considered as an asymmetrical unstable non-linear mathematical model.

3. Convergent newton method and neural network for the electric energy usage prediction

   José de Rubio, Marco Antonio Islas, Genaro Ochoa, and 3 more authors

   Information Sciences, 2022

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   In the neural network adaptation, the Newton method could find a minimum with its second-order partial derivatives, and convergent gradient steepest descent could assure its error convergence with its time-varying adaptation rates. In this article, the convergent Newton method is proposed as the combination of the Newton method and the convergent gradient steepest descent for the neural networks adaptation, where the convergent Newton method incorporates the second-order partial derivatives inside of the time-varying adaptation rates. Hence, the convergent Newton method could assure its error convergence and could find a minimum. Experiments show that the convergent Newton method obtains satisfactory results in the electric energy usage data prediction.

4. Interaction between long water waves and two fixed submerged breakwaters of wavy surfaces

   E. Bautista, S. Bahena-Jimenez, A. Quesada-Torres, and 2 more authors

   Wave Motion, 2022

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   In this work, we carried out an asymptotic analysis, up to the second order in a regular expansion, of the interaction between linear long waves and two submerged breakwaters of wavy surfaces, which obey a sinusoidal profile. The governing equations are expressed in their dimensionless version. The boundary conditions at the breakwaters surfaces are non-homogeneous; therefore, they are linearized using the domain perturbation method. Breakwaters with wavy surfaces generate larger reflection coefficient values than those obtained for breakwaters with flat surfaces. The largest values of this coefficient are obtained when the breakwater’s length is of the same order of magnitude as the wavelength. The asymptotic solution is compared with classical analytical solutions and the results are in good agreement. The present asymptotic solution can be used as a practical reference for the selection of the geometric configuration of a submerged floating breakwater under shallow flow conditions.

2021

1. Robust flatness tracking control for the “DC/DC Buck Converter-DC Motor” system: Renewable energy-based power supply

   Ramón Silva-Ortigoza, Alfredo Roldán-Caballero, Eduardo Hernández-Márquez, and 4 more authors

   Complexity, 2021

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   The design of a robust flatness-based tracking control for the DC/DC Buck converter-DC motor system is developed in this paper. The design of the control considers the dynamics of a renewable energy power source that plays the role of the primary power supply associated with the system. The performance and robustness of the control is verified through simulations via MATLAB-Simulink when abrupt changes in some parameters of the system are taken into account. Also, experiments are performed by using a built prototype of the DC/DC Buck converter-DC motor system, a TDK-Lambda G100-17 programmable DC power supply, MATLAB-Simulink, and the DS1104 board from dSPACE. In this regard, the TDK-Lambda G100-17 is implemented with the aim of emulating photovoltaic panels through the solar array mode for generating the power supply of the system. Thus, both simulations and experiments show the effectiveness of the proposed control scheme.

2. Sensorless tracking control for a “full-bridge buck Inverter–DC Motor” system: Passivity and flatness-based design

   Ramon Silva-Ortigoza, Eduardo Hernandez-Marquez, Alfredo Roldan-Caballero, and 5 more authors

   IEEE Access, 2021

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   A sensorless control based on the exact tracking error dynamics passive output feedback (ETEDPOF) methodology is proposed for executing the angular velocity trajectory tracking task on the “full-bridge Buck inverter–DC motor” system. When such a methodology is applied to the system, the tracking task is achieved by considering only the current sensing and by using some reference trajectories for the system. The reference trajectories are obtained by exploiting the flatness property associated with the mathematical model of the “full-bridge Buck inverter–DC motor” system. Experimental tests are developed for different desired angular velocity trajectories. With the aim of obtaining the experimental results in closed-loop, a “full-bridge Buck inverter–DC motor” prototype, Matlab-Simulink, and a DS1104 board from dSPACE are employed. The experimental results show the effectiveness of the proposed control.

3. Adapting H-infinity controller for the desired reference tracking of the sphere position in the maglev process

   José de Rubio, Edwin Lughofer, Jeff Pieper, and 5 more authors

   Information Sciences, 2021

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   The Maglev process consists in a magnetic field geerated by the modulation of a coil current which yields the sphere levitation. Foucault current is the current transmitted from the coil to a sphere in the Maglev process which yields the undesired sphere vibrations. In this study, an adapting H-infinity controller is introduced as the combination of the adapting and H-infinity strategies for the desired reference tracking of the sphere position in the Maglev process. The adapting strategy is used for the unknown dynamics estimation, and the H-infinity strategy is used for the desired reference tracking. The Lyapunov technique is used to satisfy the error convergence and the H-infinity criterion. Two simulations show the effectiveness of the considered method for the desired reference tracking of the sphere position in the Maglev process.

2020

1. A novel dynamic three-level tracking controller for mobile robots considering actuators and power stage subsystems: Experimental assessment

   José Rafael García-Sánchez, Salvador Tavera-Mosqueda, Ramón Silva-Ortigoza, and 6 more authors

   Sensors, 2020

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   In order to solve the trajectory tracking task in a wheeled mobile robot (WMR), a dynamic three-level controller is presented in this paper. The controller considers the mechanical structure, actuators, and power stage subsystems. Such a controller is designed as follows: At the high level is a dynamic control for the WMR (differential drive type). At the medium level is a PI current control for the actuators (DC motors). Lastly, at the low level is a differential flatness-based control for the power stage (DC/DC Buck power converters). The feasibility, robustness, and performance in closed-loop of the proposed controller are validated on a DDWMR prototype through Matlab-Simulink, the real-time interface ControlDesk, and a DS1104 board. The obtained results are experimentally assessed with a hierarchical tracking controller, recently reported in literature, that was also designed on the basis of the mechanical structure, actuators, and power stage subsystems. Although both controllers are robust when parametric disturbances are taken into account, the dynamic three-level tracking controller presented in this paper is better than the hierarchical tracking controller reported in literature.

2. Hessian with mini-batches for electrical demand prediction

   Israel Elias, José de Rubio, David Ricardo Cruz, and 7 more authors

   Applied Sciences, 2020

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   The steepest descent method is frequently used for neural network tuning. Mini-batches are commonly used to get better tuning of the steepest descent in the neural network. Nevertheless, steepest descent with mini-batches could be delayed in reaching a minimum. The Hessian could be quicker than the steepest descent in reaching a minimum, and it is easier to achieve this goal by using the Hessian with mini-batches. In this article, the Hessian is combined with mini-batches for neural network tuning. The discussed algorithm is applied for electrical demand prediction.

3. Novel nonlinear hypothesis for the Delta Parallel Robot Modeling

   Gustavo Aquino, Jose De Rubio, Jaime Pacheco, and 7 more authors

   IEEE Access, 2020

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   In previous investigations, the nonlinear hypothesis use the linear bounded maps. Nonlinear hypothesis are described as the combination of the first order terms, and after of the mentioned combination, one bounded map is applied to alter the result. This document proposes two nonlinear hypothesis which use different structures instead of using the linear bounded maps. They are termed as novel nonlinear hypothesis and second order nonlinear hypothesis and their goal is to improve the second order processes modeling. The proposed nonlinear hypothesis are described as the combination of the first order and second order terms. Since the delta parallel robot is a second order process, it is an excellent platform to prove the effectiveness of the two proposed hypothesis.

4. Mass transfer through a concentric-annulus microchannel driven by an oscillatory electroosmotic flow of a Maxwell fluid

   M. Peralta, J. Arcos, F. Méndez, and 1 more author

   Journal of Non-Newtonian Fluid Mechanics, 2020

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   In this work we develop a theoretical analysis for the mass transfer of an electroneutral solute in a concentric-annulus microchannel driven by an oscillatory electroosmotic flow (OEOF) of a fluid whose behavior follows the Maxwell model. The annular microchannel connects two reservoirs that have different concentrations of the solute. For the mathematical modeling of the OEOF, we assume the Debye-Hückel approximation and that the wall zeta potentials of the micro-annulus can be symmetric or asymmetric. The governing equations are nondimensionalized, from which the following dimensionless parameters appear: an angular Reynolds number, the ratio of the wall zeta potentials of the annular microchannel, the electrokinetic parameter, the dimensionless gap between the two cylinders, the Schmidt number and the elasticity number. The results indicate that the velocity and concentration distributions across the annular microchannel become non-uniform as the angular Reynolds number increases, and depend notably on the elasticity number. It is also revealed that with a suitable combination of values of the elasticity number and gap between the two cylinders, together with the angular Reynolds number, the total mass transport rate can be increased and the species separation can be controlled.

5. Analysis of an electroosmotic flow in wavy wall microchannels using the lubrication approximation

   J. Arcos, O. Bautista, F. Méndez, and 1 more author

   Revista Mexicana de Física, 2020

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   We present the analysis of an electroosmotic flow (EOF) of a Newtonian fluid in a wavy-wall microchannel. To describe the flow and electrical fields, the lubrication and Debye-Hückel approximations are used. The simplified governing equations of continuity, momentum, and Poisson-Boltzmann, together with the boundary conditions, are presented in dimensionless form. For solving the mathematical problem, numerical and asymptotic techniques were applied. The asymptotic solution is obtained in the limit of very thin electric double layers (EDLs). We show that the lubrication theory is a powerful technique for solving the hydrodynamic field in electroosmotic flows in microchannels where the amplitude of the waviness changes on the order of the mean semi-channel height. Approximate analytical expressions for the velocity components and pressure distribution are derived, and a closed formula for the volumetric flow rate is obtained. The results show that the principal parameters that govern this EOF are the geometrical parameter, ε, which characterizes the waviness of the microchannel, and the ratio of the mean semi-channel height to the thickness of the EDL, κ¯.