带有落角约束的一般加权最优制导律

doi:10.7527/S1000-6893.2013.0364

Abstract

Abstract:

The impact angle frame is defined which axis is in the direction of the desired impact angle, and the engagement kinematics is established in the impact angle frame. Generalized weighted optimal guidance laws with impact angle constraints are studied for first-order lag control systems and lag-free control systems respectively using Schwarz's inequality approach. For lag-free control systems and first-order lag control systems with elementary function weighting, the analytical forms of weighted optimal guidance laws can be obtained if the integrations of the inverse of the weighting functions up to triple can be analytically given. The results can be applied to guidance law designs for accomplishing different guidance objectives. For some specific weighted functions, the proposed guidance law has extended the results in references. Simulation results are given for the exponential weighting optimal guidance law with impact angle constraints.

Key words: missiles, impact angle constraint, weighted function, optimal guidance, Schwarz's inequality, exponential weighting

CLC Number:

ZHANG Youan, HUANG Jie, SUN Yangping. Generalized Weighted Optimal Guidance Laws with Impact Angle Constraints[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014, 35(3): 848-856.

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Generalized Weighted Optimal Guidance Laws with Impact Angle Constraints

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