SISO Extended Predictive Control - Formulation and Robust Analysis

This chapter presents a new control strategy that can be applied to control a wide range of processes such as servo valve control circuits requiring high speed in power plant systems. The general predictive control law is based on the solution of a quadratic cost function, which is formulated as a least-squares problem with weighting factors on the manipulated variable moves. A computer simulation was performed to compare the proposed method with the move suppressed and shifted model predictive control (MPC). Robust stability using extended predictive control (EPC) is compared with that of the move suppressed and shifted MPC on single input single output (SISO) process models. From the robustness plots, it can be concluded that the EPC is generally more robustly stable with respect to the parameters' variations in comparison to move suppressed and shifted MPC. The main advantage of EPC is that it uses an exact solution to obtain the optimal range of the condition number (CN) of the system matrix. Robust analysis demonstrated that EPC is more robust in comparison with move suppressed and shifted MPC.