Application of Cybenko’s Theorem and Algebraic Geometry in Solving Modified E-Guidance Equations

Current guidance methods are typically derived from control solution parameters. These include proportional guidance, Zero-Effort Miss (ZEM) guidance, and optimal guidance. However, a method where guidance parameters are tuned independent of a control solution has not been investigated to date. Additionally, the development of a strict methodology for tuning guidance parameters has not been investigated to date. Having a more rigorous approach to tuning guidance parameters is advantageous, as it provides qualitative and quantitative metrics to understand the performance of the guidance parameters. Additionally, it allows for more sophisticated techniques such as targeting, retargeting, and coordinated vehicle operation to occur. These two novelties, Cybenko’s theorem and algebraic geometry, allow for better performance to be achieved for a certain class of problems. These novelties attempt to add more rigour to the generation of e-guidance solutions.