ARR51-03 APPENDIX - Detailed MPC Calculations

Publication Reference: 
51-03
Author Last Name: 
Doyle
Authors: 
Francis J. Doyle III, Constantijn F.W. Sanders, Thomas Glaser
Report Type: 
ARR
Research Area: 
Particle Formation
Publication Year: 
2007
Publication Month: 
11
Country: 
United States

1 SISO MPC

1.1 SISO MPC

Setup For simplicity, initially, a simple single-input single-output (SISO) architecture was considered. The detailed structure of the MPC block can be seen in Figure 1 (a). The Linear Time Invariant (LTI) model as introduced before (section 6.1), was used as the prediction model. The controller possesses one reference r, one controlled variable y and one output u, see Table 1. The letters r,u and y stand for reference, input and output, respectively. There are some crucial parametersin each MPC design which influence the performance of the controller. Some of them will be constant for all simulation whereas others will change. The sampling time ts, the prediction horizon p and the control horizon m will be constant for all simulations: