Model predictive control of large scale processes

Efficient Linear Programming Formulations of Model Predictive Control for Cross-Directional Control of a Paper Machine

“…Rigopoulos et al explore the use of adaptive principle components analysis to reduce the number of inputs and outputs that are optimized in the CD control problem. Van Antwerp and Braatz approximate the full-scale constraint space by an ellipsoid in order to compute the optimal control solution by a bisection technique. While these examples provide efficient solutions to the CD control problem, they both do so at the expense of suboptimal control calculations as compared to techniques that solve the full-scale MPC problem for CD control.…”

Model Predictive Control

“…The approaches that have been previously described share the objective of satisfying closed-loop stability and possible real-time implementation. Other approaches closer to optimization are possible especially, for large-scale systems (Biegler, 2000;Doyle et al, 1997;Van Antwerp and Braatz, 2000). For example, a direct multiple shooting method that is applied on-line to a large scale system, i.e.…”

On the Computation of Disturbance Rejection Measures

“…Throughout this paper, the norms of all vectors are measured by the ∞-norm because this is the most useful for most control applications. For example, the ∞-norm is used in nearly all model predictive control formulations for quantifying the allowed magnitude of the manipulated variables. − …”

“…For example, the ∞-norm is used in nearly all model predictive control formulations for quantifying the allowed magnitude of the manipulated variables. [14][15][16]…”