Aerodynamic Parameter Estimation from Flight Data Applying Extended and Unscented Kalman Filter

Aerodynamic parameter estimation is an integral part of aerospace system design and life cycle process. Recent advances in computational power have allowed the use of online parameter estimation techniques in varied applications such as reconfigurable or adaptive control, system health monitoring, and fault tolerant control. The combined problem of state and parameter identification leads to a nonlinear filtering problem; furthermore, many aerospace systems are characterized by nonlinear models as well as noisy and biased sensor measurements. Extended Kalman filter (EKF) is a commonly used algorithm for recursive parameter identification due to its excellent filtering properties and is based on a first order approximation of the system dynamics. Recently, the unscented Kalman filter (UKF) has been proposed as a theoretically better alternative to the EKF in the field of nonlinear filtering and has received great attention in navigation, parameter estimation, and dual estimation problems. However, the use of UKF as a recursive parameter estimation tool for aerodynamic modeling is relatively unexplored. In this paper we compare the performance of three recursive parameter estimation algorithms for aerodynamic parameter estimation of two aircraft from real flight data. We consider the EKF, the simplified version of the UKF and the augmented version of the UKF. The aircraft under consideration are a fixed wing aircraft (HFB-320) and a rotary wing UAV (ARTIS). The results indicate that although the UKF shows a slight improvement in some cases, the performance of the three algorithms remains comparable.

[1]  Lennart Ljung,et al.  Extended Kalman Filter , 1987 .

[2]  Mario G. Perhinschi,et al.  Online Parameter Estimation Techniques Comparison Within a Fault Tolerant Flight Control System , 2002 .

[3]  Jeffrey K. Uhlmann,et al.  Unscented filtering and nonlinear estimation , 2004, Proceedings of the IEEE.

[4]  Jan Wendel,et al.  Comparison of Extended and Sigma-Point Kalman Filters for Tightly Coupled GPS/INS Integration , 2005 .

[5]  George M. Siouris,et al.  Applied Optimal Control: Optimization, Estimation, and Control , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[6]  F. Markley,et al.  Unscented Filtering for Spacecraft Attitude Estimation , 2003 .

[7]  R. V. Jategaonkar,et al.  Algorithms for aircraft parameter estimation accounting for process and measurement noise , 1989 .

[8]  Rudolph van der Merwe,et al.  Dual Estimation and the Unscented Transformation , 1999, NIPS.

[9]  Shelby Brunke,et al.  Square Root Sigma Point Filtering for Real-Time, Nonlinear Estimation , 2004 .

[10]  Lennart Ljung,et al.  The Extended Kalman Filter as a Parameter Estimator for Linear Systems , 1979 .

[11]  Marc L. Steinberg,et al.  Comparison of Intelligent, Adaptive, and Nonlinear Flight Control Laws , 1999 .

[12]  J. V. Lebacqz,et al.  Development of Advanced Techniques for the Identification of V/STOL aircraft Stability and Control Parameters , 1971 .

[13]  Julia H. Buckland,et al.  On-line implementation of nonlinear parameter estimation for the Space Shuttle main engine , 1992 .

[14]  Yuanxin Wu,et al.  Unscented Kalman filtering for additive noise case: augmented vs. non-augmented , 2005, Proceedings of the 2005, American Control Conference, 2005..

[15]  Frank Thielecke,et al.  Intelligent Systems Research Using a Small Autonomous Rotorcraft , 2003 .

[16]  Hugh F. Durrant-Whyte,et al.  A new method for the nonlinear transformation of means and covariances in filters and estimators , 2000, IEEE Trans. Autom. Control..

[17]  Mohinder S. Grewal,et al.  Kalman Filtering: Theory and Practice Using MATLAB , 2001 .

[18]  Girish Chowdhary,et al.  Control of a VTOL UAV via Online Parameter Estimation , 2005 .

[19]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .

[20]  Rudolph van der Merwe,et al.  The unscented Kalman filter for nonlinear estimation , 2000, Proceedings of the IEEE 2000 Adaptive Systems for Signal Processing, Communications, and Control Symposium (Cat. No.00EX373).

[21]  Juan Garcia-Velo,et al.  Aerodynamic Parameter Estimation for High-Performance Aircraft Using Extended Kalman Filtering , 1997 .

[22]  Arthur Gelb,et al.  Applied Optimal Estimation , 1974 .

[23]  J. Speyer,et al.  On-line aircraft state and stability derivative estimation using themodified-gain extended Kalman filter , 1987 .