Fliess Expansion-Based Bang-Bang Control Design and Its Application to Attitude Control of Missile

Motivated by the attitude control of missile, we consider the tracking problem of nonlinear systems via finite value control. First, the Fliess expansion is used to describe the outputs. Using piece-wise finite value control and the quadratic criteria, the optimal control is obtained. Then for certain model uncertainty, the model predictive control is considered. On line predicted uncertain parameters are used to update the system's dynamics. The method developed is used to the control of missile. Simulation results show the effectiveness of the proposed method.