Conventional compensators design using Newton's method

Recently, several charts were created in order to assist the design of numerous conventional compensators. In particular, a universal chart was developed to cover the project of various types of conventional compensators, aiming to eliminate trial-and-error methods present in the literature of the control systems disciplines in undergraduate courses. This paper demonstrates how Newton's method can be used to eliminate visual search, allowing the numerical search of compensator parameters in the universal chart. If the plant model is not known, the method of least squares is used as a tool for identification of systems in order to obtain the frequency response of the plant. This allows to identify the dynamics of the plant and specify a series type compensator, providing the solutions in a transitory and steady state. The algorithm developed in Matlab environment has its experimental validation performed using a Quanser SRV02 Servomotor speed control system. This new project technique is easy to implement and can be used both in industry and in teaching as an alternative to the classic design methods present in the literature.