Application of output feedback sliding mode control to active flutter suppression of two-dimensional airfoil

The effectiveness of the sliding mode control (SMC) method for active flutter suppression (AFS) and the issues concerning control system discretization and control input constraints were studied using a typical two-dimensional airfoil. The airfoil has a trailing-edge flap for flutter control. The aeroelastic system involves a two-degrees-of-freedom motion (pitch and plunge), and the equations were constructed by utilizing quasi-steady aerodynamic forces. The control system, designed by the output feedback SMC method, was incorporated to suppress the pitch-plunge flutter. Meanwhile, the system discretization and the flap deflection constraints were implemented. Then, a classical Runge-Kutta (RK) algorithm was utilized for numerical calculations. The results indicated that the close-loop system with the SMC system could be stable at a speed above the flutter boundary. However, when the flap deflection limits are reached, the close-loop system with the simple discretized control system loses control. Furthermore, control compensation developed by theoretical analysis was proposed to make the system stable again. The parameter perturbations and the time delay effects were also discussed in this paper.

[1]  Paolo Mantegazza,et al.  Active flutter suppression for a wing model , 1990 .

[2]  Liviu Librescu,et al.  Aeroelastic Response of Flapped Wing Systems Using Robust Estimation Methodology , 2004 .

[3]  Yang Chao,et al.  APPLICATION OF BALANCED TRUNCATION METHOD ON AEROSERVOELASTIC MODEL REDUCTION , 2001 .

[4]  S. Srinathkumar,et al.  Flutter suppression for the active flexible wing - A classical design , 1995 .

[5]  Taehyoun Kim,et al.  Order Reduction of State-Space Aeroelastic Models Using Optimal Modal Analysis , 2004 .

[6]  Chih-Min Lin,et al.  Hybrid Fuzzy Sliding-Mode Control of an Aeroelastic System , 2002 .

[7]  Madan M. Gupta,et al.  Active flutter suppression for two-dimensional airfoils , 1989 .

[8]  Paul L. Coe,et al.  Effect of upper-surface blowing on static longitudinal stability of a swept wing , 1974 .

[9]  Kenneth L. Roger,et al.  Active Flutter Suppression—A Flight Test Demonstration , 1975 .

[10]  Gang Xiong,et al.  SYNTHESIS ON FLUTTER SUPPRESSION CONTROL LAW FOR ACTIVE AEROELASTIC WING , 2001 .

[11]  W. S. Pi,et al.  Recent Development of the YF-17 Active Flutter Suppression System , 1981 .

[12]  G. Hodges.  Active flutter suppression - B-52 controls configured vehicle , 1973 .

[13]  Chih-Min Lin,et al.  Adaptive Decoupled Fuzzy Sliding-Mode Control of a Nonlinear Aeroelastic System , 2006 .

[14]  M. Tadi.  State-dependent Riccati equation for control of aeroelastic flutter , 2003 .

[15]  Sung Soo Na,et al.  Comparative analysis of control performances applied to a 3-DOFs nonlinear supersonic lifting surface , 2008 .

[16]  Sahjendra N. Singh,et al.  Control of Unsteady Aeroelastic System via State-Dependent Riccati Equation Method , 2005 .

[17]  Moti Karpel,et al.  Reduced-order models for integrated aeroservoelastic optimization , 1999 .

[18]  S. Srinathkumar,et al.  Flutter suppression for the Active Flexible Wing - Control system design and experimental validation , 1992 .

[19]  C. R. Stone,et al.  Control Law Synthesis for Flutter Suppression Using Linear Quadratic Gaussian Theory , 1981 .

[20]  Liviu Librescu,et al.  Sliding Mode Aeroelastic Control of Supersonic 2-D Flapped Lifting Surfaces , 2007 .

[21]  E. Nissim,et al.  Reduction of aerodynamic augmented states in active flutter suppression systems , 1991 .

[22]  Vadim I. Utkin,et al.  Sliding mode control in electromechanical systems , 1999 .

[23]  Vivek Mukhopadhyay.  Flutter suppression digital control law design and testing for the AFW wind tunnel model , 1992 .

[24]  Glenn O. Thompson,et al.  Active Flutter Suppression - An Emerging Technology , 1972 .