In this work, we discuss the challenges related to the preliminary investigation of high repetition rate (HRR) experiments in the field of high energy density (HED) physics, and we present the results of preparation experiments done at the Prague Asterix Laser System (PALS) laser facility conducted with the aim of defining the needed developments in target design, real-time diagnostics and data collection needed to meet HRR requirements. Although the PALS laser facility is not an HRR facility, it has served as a valuable test bed for advancing diagnostic techniques and refining target design in preparation for HRR experimental platforms. HRR operation will result in improved statistical errors of the experimental results, in particular for experiments related to equation of state studies in extreme conditions.