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

2013/02/07 by Lebiedz, Dirk, Rehberg, Marcel
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1302.1759

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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