Performance analysis of linear periodic systems: application for control of International Space Station

We present one approach to conducting a performance analysis of the International Space Station (ISS) being controlled to fly in a specified regime with respect to a solar inertial frame. For the assumed periodic (time-varying) closed-loop system modeling, two stages of the analysis procedure are developed. As the first step, using the so-called Floquet theory, global exponential stability of the closed-loop system is tested. At the next stage, based on the special structures of the closed-loop system and external disturbances, time-domain behavior of the system in the steady state regime is computed without time-domain simulation.