Modern Controller Design for an Unstable Bioreactor Process

Abstract

Bioreactors are used in many applications including industries concerned with food, beverages and pharmaceuticals. The objective of the paper is to design Linear Quadratic Regulator (LQR) control techniques for a class of unstable bioreactor process. Controller is designed to meet the desired time domain specifications such as rise time, settling time, maximum overshoot and stability margins. A comparative analysis based upon the system’s response characteristics of pole placement controller and LQR controller is presented. Simulation study has been done in MATLAB Simulink environment shows that LQR is better than pole placement controller. The results are also compared with the conventional controller.

Keywords: Linear Quadratic Regulator (LQR) Controller, Pole Placement Controller, Algebraic Riccati Equation (ARE), PID Controller