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Optimal control problems for constrained linear systems with a linear cost can be posed as multiparametric linear programs (mpLPs) with a parameter in the cost, or equivalently the right-hand side of the constraints, and solved explicitly offline. Degenera ...
Due to the limited pumping capacity in lowland water systems, reduction of system failure requires anticipation of extreme precipitation events. This can be done by Model Predictive Control that optimizes an objective function over a certain time horizon, ...
Nano-positioning devices constitute the mechatronic heart of the VLTI (Very Large Telescope Interferometer) for the ESO (European Southern Observatory) astrometry instrumentation. In the context of the development of a new optical Differential Delay Line ( ...
The lactose regulation system of Escherichia coli is known to exhibit a bistable behavior. The stable states correspond to the phenotypical states of the system, induced and uninduced. Stochastic modeling of the system enables us to reproduce an experiment ...
An explicit (or closed-form) solution to Model Predictive Control (MPC) results in a polyhedral subdivision of the state-space when the system and constraints are linear, and the cost is linear or quadratic. Within each region the optimal control law is an ...
The optimiser of a (multi) parametric linear program (pLP) is a piecewise affine function defined over a polyhedral subdivision of the set of feasible states. Once this affine function has been pre-calculated, the optimal solution can be computed for a par ...
The performance of a predictive controller is typically poor when the true plant evolution deviates significantly from that predicted by the model. A robust control approach that considers model uncertainty explicitly is then needed. However, it is often d ...
We present a new approach in the study of aorto-coronaric bypass anastomoses configurations based on small perturbation theory. The theory of optimal control based on adjoint formulation is applied in order to optimize the shape of the zone of the incoming ...
We provide necessary optimality conditions for a general class of discounted infinite-horizon dynamic optimization problems. As part of the resulting maximum principle we obtain explicit bounds on the adjoint variable, stronger than the transversality cond ...
Given three or four synchronized videos taken at eye level and from different angles, we show that we can effectively use dynamic programming to accurately follow up to six individuals across thousands of frames in spite of significant occlusions. In addit ...
