Decomposed Fliess functional expansion and its application to attitude control of missiles

This paper investigates the Fliess functional expansion of input-output decomposable systems. It is proved that under suitable state feedback the closed-loop system has a Fliess functional expansion of finite terms. This form has two advantages: (1) providing a precise input-output mapping; (2) tremendously reducing the complexity of computation and making the online control design available. It is proved that the model of attitude control of missiles satisfies this decomposable requirement. Hence, the finite Fliess functional expansion technique is applicable to it. Detailed algorithm is provided for the design of attitute control.