Optimal control subsumes harmonic control
Identifieur interne : 004B07 ( Main/Merge ); précédent : 004B06; suivant : 004B08Optimal control subsumes harmonic control
Auteurs : Amine Boumaza [France] ; Bruno Scherrer [France]Source :
Abstract
We consider trajectory planning within the frameworks of optimal control and harmonic control. We present a formal evidence, in continuous domain and in a standard discretization, that harmonic control is the limit case of a some optimal control problem in which we make the noise level tend to infinity. In other words we show that optimal control subsumes harmonic control. We discuss properties of both paradigms and present simulations that illustrate this relationship.
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<front><div type="abstract" xml:lang="en">We consider trajectory planning within the frameworks of optimal control and harmonic control. We present a formal evidence, in continuous domain and in a standard discretization, that harmonic control is the limit case of a some optimal control problem in which we make the noise level tend to infinity. In other words we show that optimal control subsumes harmonic control. We discuss properties of both paradigms and present simulations that illustrate this relationship.</div>
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