基于Gauss伪谱法的空空导弹最优中制导律设计

摘要

The optimum design of midcourse guidance law for air-to-air missiles was researched based on Gauss Pseudospectral Method ( GPM) . The optimal control model for midcourse guidance law of air-to-air missiles was established, the idea to design optimal midcourse guidance law with GPM was proposed, the solving process was described in detail, and effectivity of the proposed method was verified with simulation cases. Simulation results show that GPM is dominant in performance index, computation accuracy and computation efficiency, compared with the traditional methods, such as proportional navigation and shooting method, and the computation accuracy and computation efficiency of GPM are determined by the number of collocation nodes. The above all can provide theoretical reference for research of midcourse guidance law for air-to-air missiles.%研究Gauss伪谱法在空空导弹最优中制导律设计中的应用.建立空空导弹中制导律设计问题最优控制模型,首次提出采用Gauss伪谱法求解最优中制导律设计问题的思路,详细阐述了求解流程,通过仿真算例验证了求解方法的有效性,并同比例导引、打靶法等传统方法进行了对比.仿真结果表明,综合考虑性能指标、计算精度、计算效率等因素,Gauss伪谱法具有明显优势,Gauss伪谱法求解结果和求解效率与配点个数密切相关.研究结果为空空导弹中制导律设计提供理论参考.