Sampled-data H∞ control for attitude stabilization and vibration suppression of flexible spacecrafts

This paper develops a sampled-data H
_∞
control strategy for attitude stabilization and vibration suppression of flexible spacecrafts. After introducing an impulsive observer-based sampled-data controller, the closed-loop system is built as a type of hybrid systems consisting a continuous-time and an impulsive differential system. Based on Lyapunov functional method, a sufficient condition is derived such that the closed-loop system is asymptotic stable and satisfies a prescribed H
_∞
performance. The minimum attenuation level and desired controller parameters can be obtained by solving a convex optimization problem involving linear matrix inequalities (LMIs). An illustrative design example proves the effectiveness of the developed sampled-data control strategy.