论文部分内容阅读
为有效克服传统弹道优化方法解的收敛性和全局最优性受搜索算法和初始猜测等影响大的问题,提出了基于有理Bezier曲线的弹道造型与优化计算方法。根据边界条件用光滑且只含少量自由参数的有理Bezier曲线形成参数化弹道,采用逆动力学方法计算导弹攻角、速度等变量及参数化弹道性能指标,通过对自由参数寻优得到最优弹道。这种方法将连续的弹道优化问题转换为对很少自由参数的参数优化问题。与传统方法相比,该方法无需求解2点边值问题,不对导弹运动方程组进行离散化,因而鲁棒性强且解的全局最优性和光滑性好。仿真结果及与自适应伪谱法的比较验证了该方法的实用性和有效性。
In order to overcome the problem that the convergence and the global optimality of the solution of the traditional ballistic optimization are greatly affected by the search algorithm and the initial guess, the ballistic modeling and optimization calculation method based on the rational Bezier curve are proposed. According to the boundary conditions, a rationalized Bezier curve with smooth and only a few free parameters is used to form the parameterized trajectory. The inverse kinematics method is used to calculate the parameters such as the angle of attack and the velocity of the missile, and the parameters of the parameterized trajectory. By optimizing the free parameters, . This method transforms the continuous ballistic optimization problem into a parameter optimization problem with very few free parameters. Compared with the traditional method, this method does not need to solve the 2-point boundary value problem and does not discretize the missile motion equations. Therefore, this method is robust and has global optimality and smoothness. The simulation results and the comparison with the adaptive pseudospectral method verify the practicability and effectiveness of this method.