Abstract

In the paper, the requirements for aircraft guidance methods are considered. It is noted that the existing methods of optimization of linear control systems based mainly on the minimization of quadratic functionals of quality do not allow providing the set of requirements for interception systems of aerial objects. It is proposed to use new local quadratic-biquadratic quality functionals, whose minimization makes it possible to obtain more general linear-cubic control laws that are adequate for modern requirements. The biquadratic terminal part of the functional contains fourth-degree summands. An example of the synthesis of a specific guidance method is considered and analyzed.

中文翻译：

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线性系统的三次三次局部最优控制及其在飞机制导中的应用

摘要

在本文中，考虑了飞机制导方法的要求。注意，主要基于质量的二次函数的最小化的线性控制系统的优化的现有方法不允许为空中物体的拦截系统提供一组要求。提出使用新的局部二次-二次质量函数，其最小化使得有可能获得满足现代要求的更通用的线性三次控制定律。该函数的双二次终端部分包含四次求和。考虑并分析了特定指导方法的综合示例。