2013 Volume 56 Issue 6 Pages 323-327
This paper presents a design method for optimal guidance laws (OGLs) with multi-constraints when time-varying parameters are present in kinematic equations. This method uses cross-iteration to obtain time-varying parameter values and the piecewise function technology to solve the two-point boundary value problem. The proposed OGL can optimize the combination of landing angle, miss distance and control energy consumption. Ballistic simulations are conducted, and the landing angle using the OGL is twice more than using the proportional navigation law. The strike accuracy and damage effects increase because of the steep terminal trajectory. The time-varying parameters have no limit and require no simplification. Therefore, the proposed design method has a wide range of applications.