oblem was studied under a bounded CSI error model in [23]. The investigations in [22-24] were performed in the context of conventional SWIPT sys- items. Recently, Wang et al. [198] extended a range of classic resource allocation problems into a wireless powered CR counterpart. The optimal channel and power allocation scheme were proposed for maximizing the sum transmission rate. The resource allocation schemes proposed in [110-121, 123-173, 178, 180-194, 196-216] investigated a conventional NOMA system with SWIPT. The mutual interference should be considered and the QoS of the PUs should be protected in NOMA CR. Moreover, the resource allocation schemes proposed in [135-173, 178, 180-194, 196-238] are based on the classic OMA scheme. Thus, these schemes are not applicable to NOMA CR with SWIPT due to the difference between OMA and NOMA. Furthermore, an idealized linear EH model was applied in [138-173, 178, 180-194, 196-238], which is impractical since the practical power conversion circuit results in a non-linear end-to-end wireless power transfer. Therefore, it is of great importance to design optimal resource allocation schemes for NOMA CR-aided SWIPT based on the practical non-linear EH model. Although the practical non-linear EH model was applied in [22, 24-121, 123-173, 178, 180-194, 196-198], the authors of [22-24] considered conventional OMA systems using SWIPT. Moreover, the resource allocation scheme proposed in [238] is based on OMA and cannot be directly introduced in NOMA CR-aided SWIPT. However, at the time of writing, there is a scarcity of investigations on robust resource allocation design for NOMA CR-aided SWIPT under the practical non-linear EH model. Several challenges have to be addressed to design robust resource allocation schemes for NOMA CR-aided SWIPT. For example, the impact of the CSI error and of the residual interference due to the imperfect SIC should be considered, which makes the robust resource allocation problem quite challenging. Thus, we study robust resource allocation proble