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In low-power electronics, achieving a high energy efficiency has great relevance. Nowadays, global asynchronous local synchronous systems enables to use a local dynamic voltage scaling architecture, this technique allows achieve a high energy efficiency. Moreover, local dynamic voltage scaling can be implemented using different approaches. One of them is Vdd-Hopping technique. In this paper, different controllers are designed for a Vdd-Hopping system implemented in a novel discrete converter in order to search for control strategies that present better performance in terms of dissipated energy reduction. It is shown here that some of the provided control strategies not only reduce the dissipated energy, but also improves the current transients are improved.