Abstract
This paper presents the results of the comparative study of differential evolution algorithms used as an alternative for tuning the gains of a PD+ type visual control structure, since tuning PD or PID type control structures is not trivial. We made the quantitative comparison using the performance index ( <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathcal {L}_{2}$ </tex-math></inline-formula> -norm) and we applied the algorithm of best performance in a case of study (detection and cutting of leaves using a Cartesian robot). We also present the stability analysis according to Lyapunov theory and experimental results.
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