Global Aircraft Dynamics Using Piecewise Volterra Kernels

作者: Ashraf Omran , Brett Newman

DOI: 10.2514/6.2008-6874

关键词: Benchmark (computing)Current (mathematics)Control theoryNonlinear systemKernel (statistics)PiecewiseSet (abstract data type)State spaceInterpolationMathematics

摘要: Evaluating global aircraft dynamic behavior by Volterra theory as an efficient nonlinear approximation method is investigated. In previous research, implemented to evaluate the system in a selected local region of state space, which restricts ability capture while moving from one flight another. The current research presents piecewise kernel approach. approach utilizes sub-model kernels build kernels. A novel strength index proposed determine number required terms each sub-model. interpolation then employed switch between sub-models. An approximate pitch-plunge model for F-18 was used assess set experimental simulations conducted verify capability capturing aircraft. compared with linear employing simulation benchmark.

参考文章(16)
Patrick Sevestre, Alain Trognon, Linear Dynamic Models Advanced Studies in Theoretical and Applied Econometrics. pp. 95- 117 ,(1992) , 10.1007/978-94-009-0375-3_6
MARTIN B. BRILLIANT, Theory of the analysis of nonlinear systems Massachusetts Institute of Technology, Research Laboratory of Electronics. ,(1958) , 10.21236/AD0216209
William T. Baumann, Frederick E. Garrett, Terry L. Herdman, Harold Stalford, Accurate Modeling of Nonlinear Systems using Volterra Series Submodels american control conference. ,vol. 24, pp. 886- 891 ,(1987) , 10.1109/ACC.1987.4172466
Donald A George, None, Continuous nonlinear systems Massachusetts Institute of Technology. Research Laboratory of Electronics. ,(1959)
Matthias O. Franz, Bernhard Schölkopf, A unifying view of Wiener and Volterra theory and polynomial kernel regression Neural Computation. ,vol. 18, pp. 3097- 3118 ,(2006) , 10.1162/NECO.2006.18.12.3097