The pitch rate control of a missile is analyzed by an H/sup /spl infin// controller. The system dynamics governing the aerodynamic stability derivatives and airframe structure vibration is formulated in a generalized state space realization form. This formulation facilitates the /spl gamma/-iteration method in solving the associated Ricatti equation of the 4-block H/sup /spl infin// control problem. It is shown that the H/sup /spl infin// controller, because of its loop shaping capabilities, can provide improved tracking performance and stability robustness compared with H/sub 2/ (linear-quadratic-Gaussian (LQG)) and classical proportional-integral-derivative (PID) controller in the rigid airframe model. When airframe flexibility effect is considered, the H/sup /spl infin// controller is also shown to be robust under structure natural frequency variations.
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Yang et al. (1996) studied this question.
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