Mathematical Modeling by identification: a case study in the laboratory of control applied to the identification of a servo mechanism

摘要

The mathematical modeling of physical systems takes two forms. The first form is by differential equations. The second form is by identification methods that may be linear or nonlinear. The mathematical modeling of physical systems for identification has been widely discussed by academia, but most of works are developed within the simulation and not experimentation. Experiments conducted to real physical systems are scarce in the literature and a scarcity. The design of controllers is needed for process conditions regulatory and servant and is subject to the characteristics of the plant to be controlled. However, an actual process has aspects that increase the complexity of this project such as: delay of transport, noise stochastic fluctuations, the dynamics change in time. It is presented in this work, the mathematical modeling identification of a mechanical system fragile, and its dynamic changes over time, by the least squares non-recursive, so that the controller design is best suited to dynamic characteristics of this process.