POD-Based Mixed-Integer Optimal Control of the Heat Equation

POD-Based Multiobjective Optimal Control of Time-Variant Heat Phenomena

In the present paper, a multiobjective optimal control problem governed by a heat equation with time-dependent convection term and bilateral control constraints is considered. For computing Pareto optimal points and approximating the Pareto front, the reference point method is applied. As this method transforms the multiobjective optimal control problem into a series of scalar optimization prob...

POD-Based Economic Optimal Control of Heat-Convection Phenomena

In the setting of energy efficient building operation, an optimal boundary control problem governed by the heat equation with a convection term is considered together with bilateral control and state constraints. The aim is to keep the temperature in a prescribed range with the less possible heating cost. In order to gain regular Lagrange multipliers a Lavrentiev regularization for the state co...

POD based inexact SQP methods for optimal control problems governed by a semilinear heat equation

The integer approximation error in mixed-integer optimal control

We extend recent work on nonlinear optimal control problems with integer restrictions on some of the control functions (mixed-integer optimal control problems, MIOCP). We improve a theorem [25] that states that the solution of a relaxed and convexified problem can be approximated with arbitrary precision by a solution fulfilling the integer requirements. Unlike in previous publications the new ...

Trust Region POD for Optimal Boundary Control of a Semilinear Heat Equation