Delay Independent Evolutionary Dynamics for Resource Allocation with Asynchronous Distributed Sensors1

Many control problems can be considered as resource allocation problems, where the main objective is to allocate an amount of resources (e.g., voltage, power) among some distributed elements. However, the inclusion of communication networks adds new challenges to these kind of problems and new control strategies must be developed. This work presents an evolutionary strategy that can be used in dynamical resource allocation control problems, where sensors and actuators signals are transmitted through a communication network. We show that this strategy is independent of the delays using some passivity based analysis and an application in smart grids generation dispatch is illustrated. However, the performance of the controlled system may be degraded with the inclusion of the time delays. Hence, an observer for nonlinear delayed systems is implemented in order to improve the performance of the RD technique.