A new gain scheduling controller synthesis and its application to attitude control systems of a large flexible satellite

This paper proposes a new synthesis of a gain scheduling controller based on approximation of Lyapunov solutions with spline functions. Using the proposed synthesis, scheduled controllers, which do not require large programs when implemented in an actual control system, can be derived by setting the number of "knots" (i.e. grid points) of the controller as small as possible. Scheduled controllers which are piecewise-linear on a parameter can also be obtained by adding some constraints to the derived condition. The synthesis is applied to design an attitude controller of a large flexible satellite and simulation results are provided to show the effectiveness of our synthesis