On the dither persistence in the Extremum Seeking control Part I: ESC loop based on band-pass filter

In this first part of the paper, the architecture of the Hybrid Power Source based on Maximum Power Point tracking controller to harvest the energy available from used Renewable Energy Sources is presented. Usually, the energy harvesting is based on Extremum Seeking Control (ESC) loop. Two ESC schemes are proposed and analyzed in relation with the classical ESC schemes: (1) the modified ESC scheme (named mESC scheme because is based on band-pass filter BPF use, instead of series connection of the high-pass and low-pass filters such as used in higher order ESC scheme) and (2) its equivalent representation (named EQmESC because is based on modified higher order ESC scheme). The cut-off frequency of low-pass filter is chosen larger than in higher order ESC schemes in both ESC schemes proposed. This improves the dither persistence on the proposed ESC schemes, so the search speed of the extremum increases accordingly.