Lyapunov approach to guidance laws design

被引:11
作者
Yanushevsky, Rafael [1 ]
Boord, Warren [1 ]
机构
[1] TSC, Silver Spring, MD 20910 USA
关键词
Lyapunov method; Partial stability; Guidance law;
D O I
10.1016/j.na.2005.02.044
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Synthesis of control systems based on the Lyapunov method is formulated. As an application of the approach offered, the design of guidance laws is considered. This new class of the guidance laws is developed. The new laws will augment the well-known and used law in practice proportional navigation (PN) law which is a part of this class; additional components are selected based on the negative definiteness of the derivative of the Lyapunov function. The guidance law components are determined based on the partial stability of the guidance system dynamics under consideration, and only with respect to the LOS (line of sight) derivative. The comparative analysis of the modified PN algorithms with the traditional PN law showed that the new guidance laws guarantee shorter homing time requirements and larger capture area. (C) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:E743 / E749
页数:7
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