Abstract
The proposed new guidance law design approach enables us to create laws that improve the effectiveness of the proportional navigation law. This new class of the guidance laws is developed based on the Lyapunov method. The new laws will augment the proportional navigation law which is a part of these laws; 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 line-of-sight derivative. The comparative analysis of the modified proportional navigation algorithms with the traditional proportional navigation law showed that the new guidance laws guarantee shorter homing time requirements and larger capture area.
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