Direct Transcription of Optimal Control Problems with Finite Elements on Bernstein Basis

What is it about?

Optimal control problems are challenging optimisation problems present in many fields of engineering, which often require numerical methods to be tackled. This paper presents a novel scheme which employs some important properties of a special class of polynomials. This allows to guarantee that the solution will not produce spurious oscillations and will satisfy a broad class of constraints for all times even if it is evaluated only on a small number of points.

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