Nonlinear Model-Predictive Control of Distributed-Parameter Systems

Multivariable system identification and generic model control of a laboratory scale packed distillation column

“…All model based controllers rely on the assumption that the process model effectively characterizes the dominant features of the process dynamics. Patwardhan et al [5] described the application of non-linear model predictive control (NMPC) to two distributed parameter processes which were a packed distillation column and a fixed-bed catalytic reactor. In each case NPC performance is superior to that of traditional linear controller.…”

Model predictive temperature control in long ducts by means of a neural network approximation tool

“…The main concept of MPC schemes is the utilization of a dynamic process model for determining the optimal sequence of the manipulated variables that minimizes the distance of the outputs from the desired set points as well as the required control energy, over a future horizon. For the implementation of MPC configurations in DPSs, the conventional approach requires the spatial discretization of the PDEs in order to obtain a system of ODEs, which in general is of high order [6]. The computational time for solving the optimization problem that is formulated on the basis of the obtained lumped system, is often prohibitively large for online applications.…”

“…The popular Model Predictive Control (MPC) approach has also been proposed for hyperbolic DPSs in a number of publications [6][7][8]. The main concept of MPC schemes is the utilization of a dynamic process model for determining the optimal sequence of the manipulated variables that minimizes the distance of the outputs from the desired set points as well as the required control energy, over a future horizon.…”

A robust multi-model predictive controller for distributed parameter systems

“…Robustness assessment of the controller has been recently addressed in the context of "Input to State Stability" concepts by [17,18]. in [19,20] NMPC of a fixed-bed water-gas shift reactor is formulated using a simplified model with fewer equations and states. Also a lumped modeling approach is considered in [21] where a lexicographic optimization based MPC is applied to control a continuous pulp digester.…”