Piece-wise linear functions-based model predictive control of large-scale sewage systems

Piece-wise linear functions-based model predictive control of large-scale sewage systems

In this study, model predictive control (MPC) of large-scale sewage systems is addressed, considering several inherent continuous/discrete phenomena (overflows in sewers and tanks) and elements (weirs) in the system. This fact results in distinct behaviour depending on the dynamic state (flow/volume) of the network. These behaviours cannot be neglected nor can be modelled by a pure linear repre...

Modelling Approaches for Predictive Control of Large-Scale Sewage Systems

In this report, model predictive control (MPC) of large-scale sewage systems is addressed considering different modelling approaches that include several inherent continuous/discrete phenomena (overflows in sewers and tanks) and elements (weirs) in the system that result in distinct behaviour depending on the dynamic state (flow/volume) of the network. These behaviours can not be neglected nor ...

Model Based Predictive Control for Linear Systems

Trajectory piece-wise quasi-linear approximation of large non-linear dynamic systems

In this work we extend the trajectory piece-wise linear (TPWL) approximation of large, non-linear and input-affine dynamical systems to non-linear systems with non-linear input operators. The new technique is called the trajectory piece-wise quasi-linear (TPWQ) approximation. We explain the motivation for this technique in light of previously reported under-performance of the TPWL method and sh...

Quadratic Programming in Model Predictive Control for Large Scale Systems

Model Predictive Control(MPC) is widely used, especially in the chemical process industry. Model Predictive Controllers calculate the optimal control inputs at each time step, based on past information, a plant model, a quadratic objective and given constraints. Typically this involves solving a large linearly constrained quadratic program(LCQP) at each time step. Standard methods turn out to b...