State feedback control of an aeroelastic system with structural nonlinearity

• Published in: Aerospace science and technology Vol. 7; no. 1; pp. 23 - 31
• Main Authors: Singh, Sahjendra N., Yim, Woosoon
• Format: Journal Article
• Language: English
• Published: Paris Elsevier SAS 2003; Elsevier
• Subjects: Aeroelasticity and control; Applied sciences; Computer science; control theory; systems; Control system synthesis; Control theory. Systems; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Nonlinear flutter control; Nonlinear system; Physics; Solid mechanics; Structural and continuum mechanics; Suboptimal control; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves; Aeroelasticity and control; Suboptimal control; Nonlinear system; Nonlinear flutter control; State feedback; Aeroelastic flutter; Stabilization; Control synthesis; Linearizing control; Non minimum phase system; Modeling; Equations of state; Active system; Vibration control; Aeroelasticity; Non linear effect; Riccati equation; Dynamic model; Aircraft
• ISSN: 1270-9638; 1626-3219
• DOI: 10.1016/S1270-9638(02)00004-4

The paper treats the question of state variable feedback control of prototypical aeroelastic wing sections with structural nonlinearity. This type of model has been traditionally used for the theoretical as well as experimental analyses of two-dimensional aeroelastic behavior. The chosen dynamic model describes the nonlinear plunge and pitch motion of a wing. A single control surface is used for the purpose of control. A control law is designed based on the state-dependent Riccati equation technique. Unlike feedback linearizing control systems reported in literature, this approach is applicable to minimum as well as nonminimum phase aeroelastic models. The closed-loop system is asymptotically stable. Simulation results are presented which show that in the closed-loop system, flutter suppression is accomplished.