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天基拦截器用于从太空对来袭高超声速目标进行快速、准确打击。针对最短拦截时间要求,提出了一种组合的过渡段轨道优化算法。首先建立了天基拦截器的轨道动力学模型,然后根据庞特里亚金极大值原理将时间最短转移轨道问题转化为两点边值问题,通过“人工鱼群算法+序列二次规划”方法求解待优化约束,最终获得时间最短过渡轨道。定性分析及仿真实例表明,该组合优化算法可有效克服传统优化算法对初值的敏感问题,保证过渡时间最短的条件下搜索到全局最优。
Space-based interceptors are used to quickly and accurately strike incoming hypersonic targets in space. Aiming at the requirement of minimum interception time, a combined transitional track optimization algorithm is proposed. Firstly, the orbital dynamics model of the space-based interceptor is established. Then, according to the Pontryag-gold maximum principle, the problem of the shortest transitional orbit is transformed into two-point boundary value problem. By using “Artificial Fish Swarm Algorithm + Sequential Quadratic Programming ”Method to solve the constraint to be optimized, and finally obtain the transition trajectory with the shortest time. The qualitative analysis and simulation examples show that the combined optimization algorithm can effectively overcome the sensitivity of the traditional optimization algorithm to the initial value and ensure the global optimization under the condition of the shortest transition time.