Diseño de un controlador PID óptimo para un sistema de tanques acoplados empleando ADRC (Design of an Optimal PID Controller for a Coupled Tanks System employing ADRC)

Pedro Teppa Garran (pteppa@usb.ve)1, Germain Garcia (garcia@laas.fr)2

1Universidad Simón Bolívar

This paper appears in: Revista IEEE América Latina

Publication Date: Feb. 2017
Volume: 15,   Issue: 2 
ISSN: 1548-0992

Finding simple and reliable mathematical models for describing a complex process is a difficult task. In deriving a reasonably model, we frequently find necessary to ignore certain properties of the system. Active Disturbance Rejection Control (ADRC) is a method that does not require a detailed mathematical description of the system, it supposes that the unmodeled elements of the dynamics and external disturbances can be estimated trough an Extended State Observer (ESO), and then rejected online by adding the estimate in the control law. In this work, the input-output behavior of a coupled tanks system is approximated by a second order uncertain model. This allows employing the Linear Quadratic Regulator (LQR) approach to design a Proportional-Integral-Derivative (PID) controller into the ADRC framework. It is proposed a criterion for selecting the weighting matrices in LQR in order to have a desired percentage overshoot and settling time of the closed loop system response.

Index Terms:
Coupled Tanks System, Active Disturbance Rejection Control (ADRC), Extended State Observer (ESO), Linear Quadratic Regulator (LQR), Proportional-Integral-Derivative (PID) Controller.   

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