Comparison between predictive PID control and predictive state feedback via LMI approach for bioreactor control

The principle purpose of this paper is to integrate the generalized predictive control (GPC) in the new methodologies of synthesis of a PID controller. The GPC control is also integrated in the synthesis of state feedback control; the optimal control problem for the predictive state feedback control is reformulated in terms of linear matrix inequalities (LMIs). The both control theories are applied in the control of a bioreactor system with multi-model representation around different operating points and the obtained simulation results are compared. The advantage of the proposed PID approach is the simplicity of implementation in real-time processing.