Identification of linear parameter-varying state-space models with application to helicopter rotor dynamics

A considerable amount of work has been dedicated in the past to the problem of the system identification of helicopter flight dynamics, while much less activity has been oriented to the goal of developing suitable identification procedures for rotor dynamics, mainly because of the difficulties associated with the task. This paper shows that subspace and optimization based identification techniques can be used to determine discrete-time linear parameter-varying models that have the potential to provide accurate descriptions for the (intrinsically time-varying) dynamics of a rotor blade. The identification techniques are presented and applied to simulated data generated by a physical model that describes the out-of-plane bending dynamics of a helicopter rotor blade.

[1]  W. Keats Wilkie,et al.  Recent rotorcraft aeroelastic testing in the Langley Transonic Dynamics Tunnel , 1993 .

[2]  Marco Lovera,et al.  Periodic control of helicopter rotors for attenuation of vibrations in forward flight , 2000, IEEE Trans. Control. Syst. Technol..

[3]  Marco Lovera,et al.  Discrete-time analysis of HHC schemes for helicopter vibration attenuation , 2004 .

[4]  M. Verhaegen,et al.  Some Experience with the MOESP Class of Subspace Model Identification Methods in Identifying the BO105 Helicopter , 1994 .

[5]  T. McKelvey.  Identification of State-Space Models from Time and Frequency Data , 1995 .

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

[7]  Robert M. McKillip,et al.  Periodic Model-Following for the Control-Configured Helicopter , 1991 .

[8]  Roberto Celi,et al.  Frequency Response Sensitivity Functions for Helicopter Frequency Domain System Identification , 1997 .

[9]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[10]  Michel Verhaegen,et al.  Subspace identification of multivariable linear parameter-varying systems , 2002, Autom..

[11]  Lawton H. Lee,et al.  Identification of Linear Parameter-Varying Systems Using Nonlinear Programming , 1999 .

[12]  Marco Lovera,et al.  On the Zero Dynamics of Helicopter Rotor Loads , 1996, Eur. J. Control.

[13]  Keith R. Godfrey,et al.  Perturbation signals for system identification , 1993 .

[14]  Juergen Kaletka,et al.  Frequency-Domain Identification of BO 105 Derivative Models with Rotor Degrees of Freedom. , 1991 .

[15]  Norman D. Ham,et al.  Helicopter individual-blade-control research at MIT 1977-1985 , 1986 .

[16]  Pierre Apkarian,et al.  Self-scheduled H∞ control of linear parameter-varying systems: a design example , 1995, Autom..

[17]  L. Ljung,et al.  Identification of composite local linear state-space models using a projected gradient search , 2002 .

[18]  S. Bittanti,et al.  An LPV-LMI approach to generalised active control of vibrations in helicopters , 1999, 1999 European Control Conference (ECC).

[19]  Marco,et al.  Modeling of Small-Scale Helicopters with Integrated First-Principles and System-Identification Techniques , 2002 .

[20]  Tomas McKelvey,et al.  System identification using an over-parametrized model class-improving the optimization algorithm , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[21]  Mark B. Tischler,et al.  Frequency-Response Method for Rotorcraft System Identification: Flight Applications to BO 105 Coupled Rotor/Fuselage Dynamics , 1992 .

[22]  Pramod P. Khargonekar.  Identification and robust control , 1994 .

[23]  Norman M. Wereley,et al.  Performance of higher harmonic control algorithms for helicopter vibration reduction , 1993 .

[24]  Carsten W. Scherer,et al.  LPV control and full block multipliers , 2001, Autom..

[25]  Lawton Hubert Lee,et al.  Identification and Robust Control of Linear Parameter-Varying Systems , 1997 .

[26]  R. Ravikanth,et al.  Identification of linear parametrically varying systems , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[27]  Marco Lovera,et al.  Active control of vibrations in helicopters by periodic optimal control , 1997, Proceedings of the 1997 IEEE International Conference on Control Applications.