Design of decentralized PI control systems based on Nyquist stability analysis and sensitivity circle

Abstract

Consulta en la Biblioteca ETSI Industriales (Riunet)

[EN] The most commonly used controllers are PID controller. In particular proportional-integral (PI) control is the most used in the processes industries. This is because the PID controllers are very robust and simple to operate by the industrial staff. Decentralized PI control systems are widely used for MIMO control problems. These controllers have problem with control loop interactions. In this final project is introduced a tuning method for decentralized PI controls. This method is based in Nyquist stability analysis and sensitivity circle like tuning factor. The method is to set a minimum distance between Gershgorin band and the point -1 for all controllers. With this restriction it is obtained a stability region for each controller. And it is selected the controller with maximum integral action. The minimum distance between Gershgorin band and the point -1 is the sensitivity circle and it is used as tuning factor in order to obtain the optimum controller. Next the method is presented and then simulating various systems checks with the controllers obtained. Finally it obtained a calibration curve by means of the simulated systems in order to obtain the optimum controller for all systems.