An Improved Robust Adaptive Controller for a Fed-Batch Bioreactor with Input Saturation and Unknown Varying Control Gain via Dead-Zone Quadratic Forms

Computation

Óscar J. Sánchez¹  Alejandro Rincón²  Gloria María Restrepo³ 

[1] Grupo de Investigación en Alimentos y Agroindustria, Departamento de Ingeniería, Universidad de Caldas, Calle 65 N. 26-10, Manizales 170004, Colombia;Grupo de Investigación en Desarrollos Tecnológicos y Ambientales-GIDTA, Facultad de Ingeniería y Arquitectura, Universidad Católica de Manizales, Carrera 23 N. 60-63, Manizales 170002, Colombia;Grupo de Investigación en Microbiología y Biotecnología Agroindustrial-GIMIBAG, Instituto de Investigación en Microbiología y Biotecnología Agroindustrial, Facultad de Ciencias de la Salud, Universidad Católica de Manizales, Carrera 23 N. 60-63, Manizales 170002, Colombia;

关键词: adaptive control;    augmented error signal;    fed-batch bioreactor;    input saturation;    Lyapunov-like function;   

DOI  :  10.3390/computation9090100

来源: DOAJ

【 摘 要 】

In this work, a new adaptive controller is designed for substrate control of a fed-batch bioreactor in the presence of input saturation and unknown varying control gain with unknown upper and lower bounds. The output measurement noise and the unknown varying nature of reaction rate and biomass concentration and water volume are also handled. The design is based on dead zone quadratic forms. The designed controller ensures the convergence of the modified tracking error and the boundedness of the updated parameters. As the first distinctive feature, a new robust adaptive auxiliary system is proposed in order to tackle input saturation and control gain uncertainty. As the second distinctive feature, the modified tracking error converges to a compact region whose bound is user-defined, in contrast to related studies where the convergence region depends on upper bounds of either external disturbances, system states, model parameters or terms and model parameter values. Simulations confirm the properties of the closed loop behavior.

【 授权许可】

Unknown