《Trajectory shaping guidance law based on virtual angle with terminal constraints》.pdf

Journal of Systems Engineering and Electronics Vol. 24, No. 6, December 2013, pp.992–1002 Trajectory shaping guidance law based on virtual angle with terminal constraints Xijing Hu1,* and Xuemei Huang1, 2 1. Beijing Institute of Control and Electronic Technology, Beijing 100038, China; 2. Science and Technology on Information Systems Engineering Laboratory, Beijing 100038, China Abstract: A trajectory shaping guidance law based on virtual which was parameterized in terms of a design coeffi- angle (TSGLBVA) is proposed for a re-entry vehicle with the con- cient. References [7,8] solved the guidance law with the straints of terminal impact angles and their time derivatives. In impact angle constraint using the state dependent riccati the view of differential properties of the maneuvering trajectory, a equation (SDRE) technique with the state weight matrix, virtual angle and a virtual radius are defined. Also, the shaping trajectory of the vehicle is established by the polynomials of the which was assumed to be a function of time-to-go. The virtual angle. Then, four optimized parameters are selected ac- variable structure control theory was used to study the cording to the theorem of parameters transformation presented in problem of the precision guidance with impact angular this paper. Finally, a convergent variant of the Nelder-Mead algo- constraints in [9], where the three dimensional terminal rithm is adopted to obtain the reference trajectory, and a trajectory motion was divided into the motions in the vertical plane feedback tracking guidance law is designed. The simulation re- and the b