Automated support for management of complex distributed object-oriented systems is a challenge: self-management of such systems the goal. This paper presents a use-case based approach to self-management of such systems, focusing on autonomic monitoring and diagnosis. The existing notion of use-case has been extended to different levels of system design: explicitly specifying system behavior at different levels, and the relations between these levels, coupling structural models to these descriptions when and where appropriate. The proposed model is illustrated with a small example.