Stability analysis of sampled-data system with application to control of International Space Station

The paper presents one approach for stability analysis of complex control configuration consisting of discrete-time systems with different sampling times and nonlinearity. The interconnection results from modeling of attitude control system of the International Space Station. More specifically, exploring the special structure of the problem, the considered control system is reduced to feedback interconnection of linear time-invariant dynamics and arbitrary fast repeated time-varying bounded uncertainty. Therefore, conventional linear uncertain system analysis technique such as /spl mu/-analysis can be employed for stability analysis of rigid body. Special approach for stability analysis of flexible structure is also discussed.