Time-varying LQR on hypersonic vehicle profile-following

For reference profile-following guidance, the traditional method calculating weight matrices in linear quadratic regulator (LQR) is not applicable to hypersonic vehicles (HSV) which have particular dynamic characteristics. This paper proposes time-varying LQR to utilize time-varying parameters structuring weight matrices which Bryson method calculates. In this method, the current deviations of the flight states are substituted into the parameters calculation. Simulations demonstrate that the variation of parameters can significantly improve the performance of hypersonic vehicle profile following, and own stronger robustness against different disturbances.