Hybrid multi-parametric model predictive control of a nonlinear process approximated with a piecewise affine model

2009 ◽  
Author(s):  
Bostjan Pregelj ◽  
Samo Gerksic
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
Nonlinear Process ◽  
Parametric Model ◽  
Piecewise Affine ◽  
Affine Model

scholarly journals Refrigerator Optimal Scheduling to Minimise the Cost of Operation

2016 ◽  
Vol 44 (2) ◽  
pp. 99-104 ◽  
Author(s):  
Roland Bálint ◽  
Attila Magyar
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
Scheduling Algorithm ◽  
Optimal Scheduling ◽  
Piecewise Affine ◽  
Affine Model ◽  
The Cost ◽  
Control Methodology

Abstract The cost optimal scheduling of a household refrigerator is presented in this work. The fundamental approach is the model predictive control methodology applied to the piecewise affine model of the refrigerator. The optimisation could not be solved using off-the-shelf tools, e.g. Multi-Parametric Toolbox, so a binary treebased optimal scheduling algorithm has been developed for this problem.

Ultra-Fast Stabilizing Model Predictive Control via Canonical Piecewise Affine Approximations

2011 ◽  
Vol 56 (12) ◽  
pp. 2883-2897 ◽  
Author(s):  
Alberto Bemporad ◽  
Alberto Oliveri ◽  
Tomaso Poggi ◽  
Marco Storace
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
Piecewise Affine

Bilinear Model Predictive Control of Plasma Keyhole Pipe Welding Process

2014 ◽  
Vol 136 (3) ◽  
Author(s):  
Kun Qian ◽  
YuMing Zhang
Keyword(s):  
Model Predictive Control ◽  
Dynamic Model ◽  
Predictive Control ◽  
Search Algorithm ◽  
Welding Process ◽  
Nonlinear Process ◽  
Continuous Change ◽  
Bilinear Model ◽  
Peak Current ◽  
Pipe Welding

Controlled quasi-keyhole plasma arc welding process adjusts the amperage of the peak current to establish a keyhole in a desired time. This keyhole establishment time is the major parameter that controls the consistence of the weld penetration/quality and needs to be accurately controlled. This paper addresses the control of keyhole establishment time during pipe welding around the circumference, in which the gravitational force acting on the weld pool continuously changes. Because of this continuous change, the dynamic model of the controlled process, with the keyhole establishment time as the output and the amperage of the peak current as the input, varies around the circumference during welding. In addition, it is found that this dynamic model is nonlinear. To control this time varying nonlinear process, the authors propose an adaptive bilinear model predictive control (MPC) algorithm. A self-search algorithm is proposed to decouple the input and output in the model to apply the proposed MPC. Experiments confirmed the effectiveness of the developed control system including the adaptive bilinear MPC.

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