Projeto de controladores para sistemas de segunda ordem com atraso via resposta em frequência

Abstract

The solution of second order systems control problems is located in the engineering challenges.Phenomena such as mechanical vibrations, resonance and so many can be described mathematically by these types of systems. This work has as main objective to solve a problem of design of controller by state feedback for second order systems with delay using frequency response approach, which dispenses with the need for approximations to the delay, thus ensuring that the solutions found do not require a posteriori analysis. By mathematically defining the control problem as an optimization problem, a search for controller gains is made using a genetic algorithm, with the project parameter to ensure that the Nyquist curve of the system remains at a sufficient distance from the instability region . This methodology aims to ensure that the calculated gains result in robust systems so that even subject to parameter changes, still remain stable. The results of simulations at the end of the work were satisfactory within the desired specifications.