Continuous-time Model Predictive Control for Economic Optimization
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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 ...
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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 ...
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We consider the class of piecewise state feedback control laws applied to discrete-time systems, motivated by recent work on the computation of closed-form MPC controllers. The on-line evaluation of such a control law requires the determination of the stat ...
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 ...
We analyze properties of closed-loop systems based on explicit model predictive control (MPC) when parameters of the controllers are changing. Formulation of the problem in the framework of MPC with a cost based on piecewise linear norms leads to the gener ...