Abstract: By using the hysteresis characteristics in the cognitive psychological characteristics of the elderly, combined with an affective computing model based on Gross cognitive reappraisal, this paper takes consideration of the influence of the hysteresis characteristics on individual emotional state transition. It then establishes a hysteresis factor, based on cognitive reappraisal parameters, to correct the cognitive reappraisal ability of current emotional states, then simulates and analyzes the revised affective computing model using MATLAB. This improves the hysteresis factor effectively and revises the affective computing model resulting in more natural and harmonious human-robot interaction. To achieve the trusted affective computing model, this paper combines an FPGA hardware platform with an AES cipher algorithm for elderly affective information encryption processing, to realize the data trust in the affective computing. In this study, all the hardware components were built in the FPGA chip EP4CE115F29C7 using SOPC technology, the logic program was wrote, and the AES cipher algorithm was implemented with combination of the hardware components, to realize real-time data transmission and security during the process of affective computing, and its trust was improved. Finally, the experimental results show that the affective computing model under hysteresis characteristics is highly consistent with true elderly emotion, and trusted computing encourages a positive emotional state in the elderly.