Psychotic behavior is basically being out of touch with reality. With that in mind, your husband's concerns do not appear to be psychosis, but they do suggest some insecurity about your relationship, a need to control in order to feel safe in the relationship, or overly anxious about the relationship, among some other possibilities. His family history may be a primary contributor. It's really not possible for us to determine the factors that are causing his issues, since we aren't able to see him or evaluate him. The suggestions above are only possibilities.
In any relationship, when there are difficulties, both parties are affected and can benefit from help to identify the problem and find ways to resolve the problem. Your doctor may be able to help you, or refer you to a therapist or marriage counselor. If your husband is not currently willing to participate, it would still benefit you to go alone. It's very important for you and your husband to be able to talk about your relationship and how these pressures affect both of you, and it can be reassuring to both of you.
I wish you the very best of luck.
Faye, RN, MSW