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Online Convex Optimization-Based Algorithm for Thermal Management of MPSoCs

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Approximate explicit MPC using bilevel optimization

Colin Neil Jones

A linear quadratic model predictive controller (MPC) can be written as a parametric quadratic optimization problem whose solution is a piecewise affine (PWA) map from the state to the optimal input. While this `explicit solution' can offer several orders o ...

2009

Neighboring extremals in optimization and control

Sébastien Gros

Optimization arises naturally when process performance needs improvement. This is often the case in industry because of competition – the product has to be proposed at the lowest possible cost. From the point of view of control, optimization consists in de ...

EPFL2007

Dynamics systems vs. optimal control a unifying view

Auke Ijspeert

In the past, computational motor control has been approached from at least two major frameworks: the dynamic systems approach and the viewpoint of optimal control. The dynamic system approach emphasizes motor control as a process of self-organization betwe ...

2007

A Two-Time-Scale Control Scheme for Fast Systems

Dominique Bonvin, Philippe Müllhaupt, Sébastien Gros, Davide Buccieri

Model predictive control (MPC) is a very effective approach to control nonlinear systems, especially when the systems are high dimensional and/or constrained. MPC formulates the problem of input trajectory generation as an optimization problem. However, du ...

2007

Algorithms for longer OLED lifetime

Friedrich Eisenbrand

We consider an optimization problem arising in the design of controllers for OLED displays. Our objective is to minimize the amplitude of the electrical current flowing through the diodes which has a direct impact on the lifetime of such a display. The opt ...

2007

Lexicographic perturbation for multiparametric linear programming with applications to control

Colin Neil Jones

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 ...

Elsevier2007

A logarithmic-time solution to the point location problem for parametric linear programming

Colin Neil Jones

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 ...

Elsevier2006

An Infinite-Horizon Maximum Principle with Bounds on the Adjoint Variable

Thomas Alois Weber

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 ...

2006

Power formulation for the optimal control of an industrial induction heating process for thixoforming

Jacques Rappaz, Alexandre Masserey

We present an extension of a 2D cartesian electromagnetic and thermal model to achieve the optimal control of an industrial induction heating system. The control variables are the frequency and the power. We explain how to derive the discrete optimal contr ...

2004