Approximate controller design for singularly perturbed aircraft systems

Abstract

The purpose of this paper is to extend the Quasi-Steady State Approximation and Matrix Block Diagonalization methods utilized in the Approximate Controller Design for Singularly Perturbed Aircraft Systems [1]. In that paper, it was shown that an approximate controller solution could be developed by relocating only the slow poles for two-time scale aircraft dynamics. In addition, it showed the difference between the approximate solutions and the exact solutions were bounded within limits as O(epsilon) and O(epsilon(2)). This technique was successfully applied to the lateral dynamics of the DeHaviland Canada DHC-2 Beaver.