Analysis and Resonance Stabilization of Bifurcation Phenomena in Aircraft Flight

Abstract

This paper addresses a theoretical framework for a unified methodology which allows analysis of nonlinear stability and efficient control of high-dimensional nonlinear plants modeling aircraft flight. It is shown that analysis of nonlinear transition phenomena (bifurcations) is central to revealing the limitation of robust control (i.e., an accurate estimate of the basin of stability). Omitting transition behavior causes over control and provides a very local stabilization. Analysis and control of bifurcations of aircraft flight are given in the spirit of the generalized normal forms method which provides one with the nonreduceable system preserving stability characteristics of the initial plant. Stabilization of a plants bifurcations is then given in terms of the resonance control methodology.