Aeroelasticity of Time-Delayed Feedback Control of Two-Dimensional Supersonic Lifting Surfaces

Abstract

Determination of the nature of the critical flutter boundary (benign/catastrophic) and its control constitute important issues that can be addressed within the nonlinear formulation of lifting surface theory. The main attention of this paper consists in the development of a computational approach enabling one to get a better understanding on time-delayed dynamics as applied to this important aeroelastic problem, and more specifically, to two-dimensional supersonic lifting surfaces. The analysis is based on the reduction of the infinite-dimensional problem to one described on a two-dimensional center manifold. Results presenting the implication of the linear/nonlinear time- delayed feedback control on two-dimensional supersonic lifting surfaces are addressed, and pertinent conclusions are drawn.