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1
artículo
Publicado 2019
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The present research work consists in the development of a method where a mathematical model of a fish canning plant installation project is proposed, considering the investment, the production costs, the operating expenses, the financial statements, and as indicators for decision making, the net financial present value and internal rate of financial return. Then, the mathematical model is optimized using a non-linear programming to choose the most convenient investment alternative, then a Monte Carlo simulation is carried out in which random variables of plant and market are considered that allow the investor to estimate the minimum values and máximum that can happen in the financial indicators and finally the discussion of results.
2
artículo
Publicado 2019
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The present research work consists in the development of a method where a mathematical model of a fish canning plant installation project is proposed, considering the investment, the production costs, the operating expenses, the financial statements, and as indicators for decision making, the net financial present value and internal rate of financial return. Then, the mathematical model is optimized using a non-linear programming to choose the most convenient investment alternative, then a Monte Carlo simulation is carried out in which random variables of plant and market are considered that allow the investor to estimate the minimum values and máximum that can happen in the financial indicators and finally the discussion of results.
3
tesis de maestría
This thesis presents the modeling and control of a quadcopter vehicle and the application of adaptive backstepping for attitude stabilization. This nonlinear technique has been chosen because they can explicitly address the specific nonlinear dynamics of the plant. The objectives are to derive, validate, simulate and implement this Backstepping controller with a suitable quadcopter model. First a modeling process was conducted using the Newton-Euler formalism together with Euler angles to parameterize the rotations. The subsequently proposed approach consists on the nominal backstepping attitude controller which regulates the pitch , roll and yaw rotations and the adaptive scheme which estimates the external disturbances. Simulations showed satisfying performance in attitude stabilization under uncertainties of up to 50% in inertia matrix and constant external disturbances. Finally the c...
4
artículo
Publicado 2011
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Conventional data envelopment analysis (DEA) for measuring the relative efficiency of a set of decision-making units (DMUs) requires the observations to have precise values. When observations are imprecise and represented by interval values, the efficiencies are also expected to reflect interval values. Several methods exist to calculate the interval overall and technical efficiencies, but such methods are unable to calculate the interval scale efficiency. The focus of this paper is the application of a two-level programming technique to formulate the problem of determining the bounds of the interval scale efficiency. The associated models are essentially nonlinear programs with only bound constraints for variables in a sophisticated form. Hence, one can modify the conventional quasi-Newton method for unconstrained nonlinear programming problems to solve the two-level programs. Two examp...
5
artículo
Publicado 2012
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In the present’s paper studying a strategy for a typo of convex problem, we treat a linear programming problem whose coefficient of decision variables in the objective function has a nonlinear behavior. When the coefficients are constant the Simplex Method solves these problems without much difficulty, but when the coefficients are no longer constant and the Simplex does not work. We propose a technique that exploits the convex behavior of these coefficients and uses the theory of approximation by piecewise linear functions.
6
tesis doctoral
Publicado 1977
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Descargue el texto completo en el repositorio institucional del Massachusetts Institute of Technology: http://hdl.handle.net/1721.1/111040
7
artículo
Publicado 2008
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The design of a control system in certain processes in the industry is the main problem for engineers. Since the input and output data of a certain process are obtained, we can know the response of the system, the same that allows us to study a model prototype and using the theory of nonlinear control the limit cycles are predicted, we can propose a function descriptive whose parameters will be necessary to implement the Neurocontroller that will be trained with the Back propagation algorithm. In our case, we address the design and implementation of a Neurocontroller in the LabVIEW graphical program environment under the supervision of the Simulation Toolkit. Our application is the control of a prototype physical system whose model can represent first and second order systems. The model of the process dynamics was obtained experimentally, for which the identification of parameters was ap...
8
artículo
Publicado 2024
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The purpose of the present paper is to improve the global convergence results established so far concerning the Augmented Lagrangian Algorithm with exponential penalty function for solving nonlinear programming problems with equality and inequality constraints. We prove global convergence for KKT points under the PAKKT-regular constraint qualifications, which results as a consequence that accumulation points generated by the algorithm are PAKKT points. This convergence result is new for the augmented Lagrangian Method based on the exponential penalty function. An interesting consequence is that the estimates of the Lagrange multipliers computed by the method remain bounded in the presence of the quasi-normality condition. Finally we give optimality and feasibility results for the convex case.
9
artículo
En el presente trabajo se estudia una estrategia para un tipo de problema convexo, Tratamos un problema de programación lineal cuyos coeficientes de las variables de decisión en la función objetivo tienen un comportamiento no lineal. Cuando los coeficientes son constantes el Método Simplex resuelve estos problemas sin mayor dificultad, pero cuando los coeficientes dejan de ser constantes ya el simplex no funciona, Se propone una técnica que explota el comportamiento convexo de dichos coeficientes y hace uso de la teoría de aproximación por funciones lineales a trozos.
10
artículo
The objective of this study was to fit four nonlinear models (Brody, von Bertalanffy, Gompertz and Logistic) to realizations of llama weight, using frequentist and Bayesian approaches. Animals from both sexes and types (K'ara and Ch'accu) were observed. Data consisted of 43,332 monthly body weight records, taken from birth to 12 months of age from 3611 llamas, collected from 1998 to 2017 in the Quimsachata Experimental Station of the Instituto Nacional de Innovación Agraria (INIA) in Peru. Parameters for Non-linear models for growth curves were estimated by frequentist and Bayesian procedures. The MCMC method using the Metropolis-Hastings algorithm with noninformative prior distributions was applied in the Bayesian approach. All non-linear functions closely fitted actual body weight measurements, while the Brody function provided the best fit in both frequentist and Bayesian approaches ...
11
tesis de maestría
Nanopositioning and nanomeasuring machines are playing an increasingly important role in the evolution of modern technologies in various fields. The Institute of Process Measure ment and Sensor Technology at Ilmenau University of Technology has been researching for more tan one decade high precisión machines. In this direction, the general objective of this master tesis is the development of aderivative-free model reference adaptive control (DFMRAC) algorithm for the vertical axisofa nanopositioning and nanomeasuring machine. Firstly, a nonlinear unknown friction term is included in the adaptation process of a standard model reference adaptive control (MRAC) and the DFMRAC. Then, the MRAC and DFMRAC algorithms are developed theoretically, in which the DFMRAC stability análisis requiresa Lyapunov-Krasovskii functional to prove that the error signal and the weightpa- rameters are uniform...
12
tesis de maestría
Nanopositioning and nanomeasuring machines are playing an increasingly important role in the evolution of modern technologies in various fields. The Institute of Process Measure ment and Sensor Technology at Ilmenau University of Technology has been researching for more tan one decade high precisión machines. In this direction, the general objective of this master tesis is the development of aderivative-free model reference adaptive control (DFMRAC) algorithm for the vertical axisofa nanopositioning and nanomeasuring machine. Firstly, a nonlinear unknown friction term is included in the adaptation process of a standard model reference adaptive control (MRAC) and the DFMRAC. Then, the MRAC and DFMRAC algorithms are developed theoretically, in which the DFMRAC stability análisis requiresa Lyapunov-Krasovskii functional to prove that the error signal and the weightpa- rameters are uniform...
13
artículo
Publicado 2014
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Commonly authors of literature dealing with chaos report a single and truncated chaotic event occurring in the chaotic system they have investigated. This paper reports a multiplicity of chaotic events detected in the non-linear damped and forced oscillator. In order to detect chaos in this oscillator, a Virtual Lab (integrated and interactive computer program) was developed by the author of this report. With this Virtual Lab many chaos simulations were executed and the resulting Poincaré Maps for angles of 0° and 180° were extracted and filtered to avoid event duplicity. It has been found that chaotic events do not last forever; they have a beginning and an end, which means they are transitory. No numerical connection has been detected between the natural frequency of a chaotic oscillator with that of the periodical applied force.
14
tesis de grado
Publicado 2022
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El trabajo de investigación tuvo como objetivo determinar la influencia de los sistemas estructurales Emmedue y Muros de Ductilidad Limitada en el comportamiento no lineal del hotel Costa Blanca ubicado en Vichayito, Piura; el tipo de investigación fue aplicada, cuantitativa, de nivel explicativa, con un diseño cuasi experimental; la población estuvo conformada por las edificaciones para hoteles cuyo sistema estructural este basado en Emmedue o Muros de Ductilidad Limitada en Vichayito, Piura; mientras que la muestra estuvo constituida por el hotel Costa Blanca la cual será analizada bajo los sistemas Emmedue y Muros de Ductilidad Limitada. Con la ayuda del programa Etabs V19, se modelizó la edificación para ambos sistemas con la finalidad de poder conocer el comportamiento no lineal estático de la estructura, obteniendo los siguientes resultados: El sistema Emmedue presento una ...
15
tesis de maestría
In recent years, autonomous driving technologies have become a topic of growing interest due to the promise of safer and more convenient mode of transportation. An essential element in every autonomous driving system is the control algorithm. Classical control schemes, like PID, are not able to manage Multiple Inputs-Multiple Outputs, complex, non-linear systems. A more recent control strategy is Model predictive control (MPC), a modern control method that has shown promising results in systems with complex dynamics. In MPC, a sequence of optimal control inputs are predicted within a short time horizon based on the car dynamics, and soft or hard restriction of the system. In this work, three different nonlinear-MPC (NMPC) controllers were formulated based on a kinematic, and two dynamic models (double-track and single-track). The steering system’s dynamics were additionally identified ...
16
tesis de maestría
In recent years, autonomous driving technologies have become a topic of growing interest due to the promise of safer and more convenient mode of transportation. An essential element in every autonomous driving system is the control algorithm. Classical control schemes, like PID, are not able to manage Multiple Inputs-Multiple Outputs, complex, non-linear systems. A more recent control strategy is Model predictive control (MPC), a modern control method that has shown promising results in systems with complex dynamics. In MPC, a sequence of optimal control inputs are predicted within a short time horizon based on the car dynamics, and soft or hard restriction of the system. In this work, three different nonlinear-MPC (NMPC) controllers were formulated based on a kinematic, and two dynamic models (double-track and single-track). The steering system’s dynamics were additionally identified ...
17
tesis de maestría
In recent years, autonomous driving technologies have become a topic of growing interest due to the promise of safer and more convenient mode of transportation. An essential element in every autonomous driving system is the control algorithm. Classical control schemes, like PID, are not able to manage Multiple Inputs-Multiple Outputs, complex, non-linear systems. A more recent control strategy is Model predictive control (MPC), a modern control method that has shown promising results in systems with complex dynamics. In MPC, a sequence of optimal control inputs are predicted within a short time horizon based on the car dynamics, and soft or hard restriction of the system. In this work, three different nonlinear-MPC (NMPC) controllers were formulated based on a kinematic, and two dynamic models (double-track and single-track). The steering system’s dynamics were additionally identified ...
18
artículo
Publicado 2023
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Since the decade of the 1990 the neural networks algorithms have been used for compute approximate solutions for different problems in engineering. In the building behavior against loads is important to know its response. The behavior during the earthquakes and the estimation of the response is quite difficult to compute due to the nonlinearity of geometry and material properties. Neural networks approach is a powerful tool for computing the response of structures with an appropriate learning process from big data of structural components. Even if some material parameters are unknown, the learning on a neural network will be possible and will provide an estimation using collect information from experience and learning. To make a learning process in this paper, we present a simple algorithm of back propagation implemented in python programming language where the output shows the decrease ...
19
tesis de maestría
Publicado 2017
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In recent years, there is a growing interest in the development of systems capable of performing tasks with a high level of autonomy without human supervision. This kind of systems are known as autonomous systems and have been studied in many industrial applications such as automotive, aerospace and industries. Autonomous vehicle have gained a lot of interest in recent years and have been considered as a viable solution to minimize the number of road accidents. Due to the complexity of dynamic calculation and the physical restrictions in autonomous vehicle, for example, deterministic model predictive control is an attractive control technique to solve the problem of path planning and obstacle avoidance. However, an autonomous vehicle should be capable of driving adaptively facing deterministic and stochastic events on the road. Therefore, control design for the safe, reliable and autonom...
20
tesis de maestría
Publicado 2017
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In recent years, there is a growing interest in the development of systems capable of performing tasks with a high level of autonomy without human supervision. This kind of systems are known as autonomous systems and have been studied in many industrial applications such as automotive, aerospace and industries. Autonomous vehicle have gained a lot of interest in recent years and have been considered as a viable solution to minimize the number of road accidents. Due to the complexity of dynamic calculation and the physical restrictions in autonomous vehicle, for example, deterministic model predictive control is an attractive control technique to solve the problem of path planning and obstacle avoidance. However, an autonomous vehicle should be capable of driving adaptively facing deterministic and stochastic events on the road. Therefore, control design for the safe, reliable and autonom...
