I. Introduction
Simultaneous wireless information and power transfer (SWIPT) systems have been considered a new paradigm for green communication architecture in next-generation wireless networks [1], [2]. The smart energy harvesting inherited in multi-antenna SWIPT system renders the better quality of services to a diverse set of heterogeneous users in terms of energy harvesting and information transmission capacity, which in turn become a paramount interest for energy-constrained future networks [3]. However, the performance of multi-user (MU) multi-input-multi-output (MIMO) SWIPT systems is sensitive to poor or uncertain channel conditions [4].