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arXiv · 1302.1759

A Numerical Slow Manifold Approach to Model Reduction for Optimal Control of Multiple Time Scale ODE

Dirk Lebiedz·Marcel Rehberg
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Abstract

Time scale separation is a natural property of many control systems that can be ex- ploited, theoretically and numerically. We present a numerical scheme to solve optimal control problems with considerable time scale separation that is based on a model reduction approach that does not need the system to be explicitly stated in singularly perturbed form. We present examples that highlight the advantages and disadvantages of the method.

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Dirk Lebiedz, Marcel Rehberg. 2013-02-07. A Numerical Slow Manifold Approach to Model Reduction for Optimal Control of Multiple Time Scale ODE. https://arxiv.org/abs/1302.1759

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