Motivated by the attitude control of missiles, we consider the tracking problem of nonlinear systems via control with finite admissible values. First, the Fliess functional expansion is used to describe the outputs. Using piecewise admissible value control and the quadratic criteria, the optimal control is obtained. Then for certain model uncertainties, the model predictive control is considered. Online predicted uncertain parameters are used to update the system's dynamics. The method developed is used to the attitude control of missile. Simulation results show the effectiveness of the proposed method.
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Yao et al. (2008) studied this question.
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