Online Aerodynamic Model Identification using a Recursive Sequential Method for Multivariate Splines

Online Aerodynamic Model Identification using a Recursive Sequential Method for Multivariate Splines

Sun, L.G.
De Visser, C.C.
Chu, Q.P.
Mulder, J.A.

Aerospace Engineering

Control & Operations

2013-07-24

Avoiding high computational loads is essential to online aerodynamic model identi- fication algorithms, which are at the heart of any model-based adaptive flight control system. Multivariate simplex B-spline (MVSB) methods are excellent function approximation tools for modeling the nonlinear aerodynamics of high performance aircraft. However, the computational efficiency of the MVSB method must be improved in order to enable real-time onboard applications, for example in adaptive nonlinear flight control systems. In this paper, a new recursive sequential identification strategy is proposed for the MVSB method aimed at increasing its computational efficiency, thereby allowing its use in onboard system identification applications. The main contribution of this new method is a significant reduction of computational load for large scale online identification problems as compared to the existing MVSB methods. The proposed method consists of two sequential steps for each time interval, and makes use of a decomposition of the global problem domain into a number of subdomains, called modules. In the first step the B-coefficients for each module are estimated using a least squares estimator. In the second step the local B-coefficients for each module are then smoothened into a single global B-coefficient vector using a linear minimum mean square errors (LMMSE) estimation. The new method is compared to existing batch and recursive MVSB methods in a numerical experiment in which an aerodynamic model is recursively identified based on data from an NASA F-16 wind-tunnel model.

recursive identification
aerodynamic model identification
multivariate splines

http://resolver.tudelft.nl/uuid:fa68d1b6-6236-49b8-819f-c76452ddab3b

AIAA

0731-5090

Journal of Guidance, Control, and Dynamics, 36 (5), 2013; Authors version

http://arc.aiaa.org/doi/abs/10.2514/1.60375

Institutional Repository

journal article

© 2013 American Institute of Aeronautics and Astronautics