Wiener Model Identification and Direct Regulator Synthesis

S. BIAGIOLA, O. AGAMENNONI, J.L. FIGUEROA

Río Cuarto, Argentina

Workshop; XI Reunión en Procesamiento de la Información y Control; 2005

UNRC

In this work we are interested in the identification and control of Wiener models. In order to control the process, we follow the principle of the nonlinear regulator as presented by Wigren (1990). This controller is formed by a nonlinear block (the inverse of the nonlinear gain of the process) and a linear compensator. In our approach, the linear compensator is designed using a direct synthesis approach to satisfy the requirements imposed on the closed-loop time response. To simplify the controller structure, the Wiener model is described in terms of the Laguerre polynomials series for the linear block and a Piecewise Linear function for the nonlinear gain. To accomplish the process identification, the approach by Gómez and Baeyens (2004) is followed. The benefit of this method is that it allows the direct identification of the nonlinear gain inverse. The performance of the proposed direct synthesis approach is tested via simulation. For this purpose, a pH neutralization reactor is considered.