The Rubin Observatory’s LSST (Legacy Survey of Space and Time) is a flagship time-domain sky survey project in the coming decade, which will repeatedly observing the sky in ugrizy filters. Currently, there is a lack of period – luminosity (PL) relations in these filters for a majority of the pulsating stars. Hence, the main goal of our project is to derive and calibrate the PL relations in the gri filters for different types of periodic variable stars (including pulsating stars), using the time-series data taken from the Zwicky Transient Facility and small telescopes at Lulin Observatory. These gri-band PL relations will be important in the era of LSST, such as measuring distances to newly LSST discovered dwarf galaxies, and provide an independent derivation of the Hubble-Lemaitre constant via old population distance indicators observed by LSST.