Time-delay of flight control systems has great influence on stability and manuverbility of flying vehicles, and it is of practical importance to design a control law with consideration to the estimated time-delay.
H∞ control theory is one of the powerful methodologies for designing a robust control law against disturbances and parameter variations. In this paper, a
H∞ optimal controller considering time-delay is solved explicitly for roll angle dynamics using aileron control surface. “Explicit” means that the time-delay is treated as it is without using approximation in frequency domain. A robust stabilization problem for multiplicative uncertainties is chosen as a formulation and an explicit
H∞ optimal controller for this problem is solved analytically. Stability and performance of the controller are examined for parameter variations.
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