Incentives-Based Mechanism for Efficient Demand Response Programs

In this work we investigate the inefficiency of the electricity system with strategic agents. Specifically, we prove that without a proper control the total demand of an inefficient system is at most twice the total demand of the optimal outcome. We propose an incentives scheme that promotes optimal outcomes in the inefficient electricity market. The economic incentives can be seen as an indirect revelation mechanism that allocates resources using a one-dimensional message space per resource to be allocated. The mechanism does not request private information from users and is valid for any concave customer's valuation function. We propose a distributed implementation of the mechanism using population games and evaluate the performance of four popular dynamics methods in terms of the cost to implement the mechanism. We find that the achievement of efficiency in strategic environments might be achieved at a cost, which is dependent on both the users' preferences and the dynamic evolution of the system. Some simulation results illustrate the ideas presented throughout the paper.Comment: 38 pages, 9 figures, submitted to journa

La teoría evolutiva como solución al control de formación

We present a formation control for multiple vehicles Autonomous submarines with type structure leader - follower. The controller is modeled as a multi-agent system represented by a digraph consisting of vertices and artists symbolizing agents (vehicles) and the communication system, respectively. The digraph complex Laplacian matrix was used to calculate the geometrical formation and then evaluates the response of the formation consensus using the dynamic evolutionary theory of the Replicator-mutator. Finally, two answers are integrated and it calculates the position of each follower agent. Simulations show that combining these two theories can be guaranteed a perfect geometrical formation at all times and that a number of agents can be used in the structure.  Se presenta un control de formación para múltiples Vehículos Submarinos Autónomos con estructura de tipo líder-seguidor. El controlador se modela como un sistema multi-agente representado por un dígrafo compuesto por vértices y artistas que simbolizan los agentes (vehículos) y el sistema de comunicación, respectivamente. Se empleó la matriz Laplaciana compleja del dígrafo, para calcular la formación geométrica y enseguida se evalúa la respuesta de consenso de la formación utilizando la teoría evolutiva dinámica del replicador mutador. Finalmente, se integran las dos respuestas y se calcula la posición de cada agente seguidor. Las simulaciones muestran que combinando estas dos teorías se puede garantizar una perfecta formación geométrica en todo momento y que se pueden emplear un sinnúmero de agentes en la estructura

Descomposición en suma de cuadrados: teoría y aplicaciones en control

Las técnicas de descomposición en sumas de cuadrados (SOS) permiten emplear métodos numéricos para probar la positividad de funciones polinómicas multivariables resolviendo problemas de programación en semidefinida. Teniendo en cuenta que generalmente es difícil encontrar funciones de Lyapunov para realizar análisis de estabilidad en sistemas no linea-les, con el uso de t técnicas SOS se utiliza una herramienta computacional para resolver este problema, planteando las condiciones de estabilidad como un problema SOS y obteniendo la solución con un toolbox de Matlab. Para mostrar el uso de esta herramienta se presentan ejemplos simples de los conceptos de SOS, análisis de estabilidad para sistemas no lineales polinomios, racionales, con incertidumbre en los parámetros y de sistemas conmutados con una aproximación en polinomio. Con dicha aproximación se encuentran funciones adecuadas para demostrar estabilidad asintótica para estos sistemas.The sum of squares (SOS) decomposition technique allows numerical methods such as semidefinite programming to be used for proving the positivity of multivariable polynomial functions. It is well known that it is not an easy task to find Lyapunov functions for stability analysis of nonlinear systems. An algorithmic tool is used in this work for solving this problem. This approach is presented as SOS programming and solutions were obtained with a Matlab toolbox. Simple examples of SOS concepts, stability analysis for nonlinear polynomial and rational systems with uncertainties in parameters are presented to show the use of this tool. Besides these approaches, an alternative stability analysis for switched systems using a polynomial approach is also presented

Smart Grids - Retos para su implementación

Se presentan las motivaciones que justifican la implementación de redes inteligenten en el país, retos en su desarrollo y algunas ideas de investigación

Visual victim detection and quadrotor-swarm coordination control in search and rescue environment

We propose a distributed victim-detection algorithm through visual information on quadrotors using convolutional neuronal networks (CNN) in a search and rescue environment. Describing the navigation algorithm, which allows quadrotors to avoid collisions. Secondly, when one quadrotor detects a possible victim, it causes its closest neighbors to disconnect from the main swarm and form a new sub-swarm around the victim, which validates the victim’s status. Thus, a formation control that permits to acquire information is performed based on the well-known rendezvous consensus algorithm. Finally, images are processed using CNN identifying potential victims in the area. Given the uncertainty of the victim detection measurement among quadrotors’ cameras in the image processing, estimation consensus (EC) and max-estimation consensus (M-EC) algorithms are proposed focusing on agreeing over the victim detection estimation. We illustrate that M-EC delivers better results than EC in scenarios with poor visibility and uncertainty produced by fire and smoke. The algorithm proves that distributed fashion can obtain a more accurate result in decision-making on whether or not there is a victim, showing robustness under uncertainties and wrong measurements in comparison when a single quadrotor performs the mission. The well-functioning of the algorithm is evaluated by carrying out a simulation using V-Rep