Open/Closed-Loop Aeroservoelastic Predictions via Nonlinear, Reduced-Order Aerodynamic Models

Recently, the parallel cascade reduced-order modeling approach has been successfully used for the flutter prediction of a two-degree-of-freedom wing section. However, this approach has been less successful when applied to reveal other important aeroelastic phenomena, such as the transonic aeroservoelastic behaviors of a three-dimensional wing with a trailing-edge control surface. Because of the complexity introduced by the forced control-surface deflection, effects of oscillating shock waves, and aerodynamic viscosity, the stability of the dynamic linear parts of the parallel cascade reduced-order model cannot be guaranteed. In this paper, a novel, stable representation of the parallel cascade reduced-order model is explored in which the linear part is identified by using a predictor-based subspace scheme. To demonstrate the performance of the present parallel cascade reduced-order model in modeling the aeroservoelastic behaviors of a three-dimensional wing with a trailing-edge control surface, the Benchm...

[1]  Jeffrey P. Thomas,et al.  Using Automatic Differentiation to Create a Nonlinear Reduced-Order-Model Aerodynamic Solver , 2010 .

[2]  Jorge J. Moré,et al.  The Levenberg-Marquardt algo-rithm: Implementation and theory , 1977 .

[3]  P. P. Friedmann,et al.  Adaptive Control of Aeroelastic Instabilities in Transonic Flow and Its Scaling , 1997 .

[4]  Oddvar O. Bendiksen.  Transonic Limit Cycle Flutter of High-Aspect-Ratio Swept Wings , 2008 .

[5]  Kajal Gupta,et al.  Systems Identification Approach for a Computational-Fluid-Dynamics-Based Aeroelastic Analysis , 2007 .

[6]  Earl H. Dowell,et al.  Reduced-Order Modeling of Flutter and Limit-Cycle Oscillations Using the Sparse Volterra Series , 2012 .

[7]  Daniella E. Raveh,et al.  Identification of computational-fluid-dynamics based unsteady aerodynamic models for aeroelastic analysis , 2004 .

[8]  Jeffrey P. Thomas,et al.  Proper Orthogonal Decomposition Technique for Transonic Unsteady Aerodynamic Flows , 2000 .

[9]  Earl H. Dowell,et al.  Experimental and Theoretical Study on Aeroelastic Response of High-Aspect-Ratio Wings , 2001 .

[10]  Tom Johnston,et al.  Part 1. Theory , 2014 .

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

[12]  Weiwei Zhang,et al.  Efficient Method for Limit Cycle Flutter Analysis Based on Nonlinear Aerodynamic Reduced-Order Models , 2012 .

[13]  Earl H. Dowell,et al.  Aeroelastic Response Induced by Free Play, Part 1: Theory , 2011 .

[14]  Bart De Moor,et al.  Subspace Identification for Linear Systems: Theory ― Implementation ― Applications , 2011 .

[15]  Fred Nitzsche,et al.  Application of Multi-Input Volterra Theory to Nonlinear Multi-Degree-of-Freedom Aerodynamic Systems , 2010 .

[16]  Earl H. Dowell,et al.  Aeroelastic Response Induced by Free Play, Part 2: Theoretical/Experimental Correlation Analysis , 2011 .

[17]  Taehyoun Kim,et al.  System Identification for Coupled Fluid-Structures: Aerodynamics is Aeroelasticity Minus Structure , 2011 .

[18]  D. Raveh,et al.  Transonic unsteady aerodynamics in the vicinity of shock-buffet instability , 2012 .

[19]  F. Marques,et al.  IDENTIFICATION AND PREDICTION OF UNSTEADY TRANSONIC AERODYNAMIC LOADS BY MULTI-LAYER FUNCTIONALS , 2001 .

[20]  P. Mantegazza,et al.  Multi-Input/Multi-Output Adaptive Active Flutter Suppression for a Wing Model , 1998 .

[21]  Bryan Glaz,et al.  Reduced-Order Nonlinear Unsteady Aerodynamic Modeling Using a Surrogate-Based Recurrence Framework , 2010 .

[22]  Earl H. Dowell,et al.  Improved Flutter Boundary Prediction for an Isolated Two-Degree-of-Freedom Airfoil , 2009 .

[23]  Haiyan Hu,et al.  Single-Input/Single-Output Adaptive Flutter Suppression of a Three-Dimensional Aeroelastic System , 2012 .

[24]  Alessandro Chiuso,et al.  The role of vector autoregressive modeling in predictor-based subspace identification , 2007, Autom..

[25]  Vivek Mukhopadhyay,et al.  Transonic Flutter Suppression Control Law Design and Wind-Tunnel Test Results , 2000 .

[26]  R Waszak Martin,et al.  Modeling the Benchmark Active Control Technology Wind-Tunnel Model for Application to Flutter Suppression , 1996 .

[27]  R Waszak Martin,et al.  Robust Multivariable Flutter Suppression for the Benchmark Active Control Technology (BACT) Wind-tunnel Model , 1997 .

[28]  Charles M. Denegri,et al.  Comparison of Static and Dynamic Neural Networks for Limit Cycle Oscillation Prediction , 2003 .

[29]  Bart De Moor,et al.  Combined Deterministic-Stochastic Identification , 1996 .

[30]  Haiyan Hu,et al.  Designing active flutter suppression for high-dimensional aeroelastic systems involving a control delay , 2012 .

[31]  A. Nayfeh,et al.  Forced Oscillations of Systems Having a Single Degree of Freedom , 2007 .

[32]  Jeffrey P. Thomas,et al.  Nonlinear Inviscid Aerodynamic Effects on Transonic Divergence, Flutter, and Limit-Cycle Oscillations , 2001 .

[33]  Vivek Mukhopadhyay,et al.  Flutter suppression control law design and testing for the active flexible wing , 1995 .

[34]  Jiri Blazek,et al.  Computational Fluid Dynamics: Principles and Applications , 2001 .

[35]  Jeffrey P. Thomas,et al.  Computation of Unsteady Nonlinear Flows in Cascades Using a Harmonic Balance Technique , 2002 .

[36]  Robert T. Biedron,et al.  NAVIER-STOKES SOLVER TO THE ANALYSIS OF MULTIELEMENT AIRFOILS AND WINGS USING MULTIZONAL GRID TECHNIQUES , 1995 .

[37]  P. Durbin.  SEPARATED FLOW COMPUTATIONS WITH THE K-E-V2 MODEL , 1995 .

[38]  K. Isogai,et al.  Transonic dip mechanism of flutter of a sweptback wing. II , 1981 .

[39]  Haiyan Hu,et al.  New Method of Modeling Uncertainty for Robust Flutter Suppression , 2013 .

[40]  Sahjendra N. Singh,et al.  Output Feedback Form and Adaptive Stabilization of a Nonlinear Aeroelastic System , 2002 .

[41]  Beverley J. Glover,et al.  Vortex shedding model of a flapping flag , 2008, Journal of Fluid Mechanics.

[42]  Johan A. K. Suykens,et al.  Identification of stable models in subspace identification by using regularization , 2001, IEEE Trans. Autom. Control..

[43]  Michel Verhaegen,et al.  Recursive Predictor-Based Subspace Identification With Application to the Real-Time Closed-Loop Tracking of Flutter , 2012, IEEE Transactions on Control Systems Technology.

[44]  Haiyan Hu,et al.  Nonlinear aeroservoelastic analysis of a controlled multiple-actuated-wing model with free-play , 2013 .

[45]  David J. Lucia,et al.  Aeroelastic System Development Using Proper Orthogonal Decomposition and Volterra Theory , 2003 .

[46]  Haiyan Hu,et al.  Nonlinear Reduced-Order Modeling for Multiple-Input/Multiple-Output Aerodynamic Systems , 2014 .

[47]  Michael J. Korenberg,et al.  Parallel cascade identification and kernel estimation for nonlinear systems , 2006, Annals of Biomedical Engineering.

[48]  Robert M. Bennett,et al.  Time-marching transonic flutter solutions including angle-of-attack effects , 1983 .

[49]  Walter A. Silva,et al.  Application of nonlinear systems theory to transonic unsteady aerodynamic responses , 1993 .

[50]  S Buttrill Carey,et al.  Aeroservoelastic Simulation of an Active Flexible Wing Wind Tunnel Model , 1996 .

[51]  Michel Verhaegen,et al.  Fast-array Recursive Closed-loop Subspace Model Identification , 2009 .

[52]  Walter A. Silva,et al.  Development of Reduced-Order Models for Aeroelastic Analysis and Flutter Prediction Using the CFL3Dv6.0 Code , 2002 .

[53]  Cl Fenwick,et al.  Flutter Analysis of the BACT Wing with Consideration of Control Surface Representation , 2007 .