Searched for: subject%3A%22splines%22
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Govindarajan, N. (author), De Visser, C.C. (author), Krishnakumar, K. (author)
This paper presents a sparse collocation method for solving the time-dependent Hamilton–Jacobi–Bellman (HJB) equation associated with the continuous-time optimal control problem on a fixed, finite timehorizon with integral cost functional. Through casting the problem in a recursive framework using the value iteration procedure, the value...
journal article 2014
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Govindarjan, N. (author), De Visser, C.C. (author), Van Kampen, E. (author), Krishnakumar, K. (author), Barlow, J. (author), Stepanyan, V. (author)
This paper presents an optimal control framework to determine a collection of open-loop command signals that mathematically guarantees operation of an aircraft within certain prescribed state constraints. The framework is specifically applied to estimate margins for the reference command inputs of aircraft autopilot systems, so that safe...
journal article 2014
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Tol, H.J. (author), De Visser, C.C. (author), Van Kampen, E. (author), Chu, Q.P. (author)
High performance flight control systems based on the nonlinear dynamic inversion (NDI) principle require highly accurate models of aircraft aerodynamics. In general, the accuracy of the internal model determines to what degree the system nonlinearities can be canceled; the more accurate the model, the better the cancellation, and with that, the...
journal article 2014
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Ortiz-Gracia, L. (author), Oosterlee, C.W. (author)
We present a novel method for pricing European options based on the wavelet approximation method and the characteristic function. We focus on the discounted expected payoff pricing formula and compute it by means of wavelets. We approximate the density function associated to the underlying asset price process by a finite combination of jth order...
journal article 2013
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Malagu, M. (author), Benvenuti, E. (author), Simone, A. (author)
In this article we investigate the application of high order approximation techniques to one-dimensional boundary layer problems. In particular, we use second order differential equations and coupled second order differential equations as case studies. The accuracy and convergence rate of numerical solutions obtained with Lagrange, Hermite, B...
conference paper 2013
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Sun, L.G. (author), De Visser, C.C. (author), Chu, Q.P. (author), Mulder, J.A. (author)
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,...
journal article 2013
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Malagu, M. (author), Benvenuti, E. (author), Simone, A. (author)
Non-local elasticity theories have been intensively applied to a wide range of problems in physics and applied mechanics. Most applications are based either on the integrodifferential constitutive Icm proposed by Eringen or on the gradient constitutive law developed by Aifantis and co-workers. In this work, M>e study a one-dimensional non-local...
conference paper 2012
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Straathof, M.H. (author)
This thesis introduces a new parameterization technique based on the Class-Shape-Transformation (CST) method. The new technique consists of an extension to the CST method in the form of a refinement function based on B-splines. This Class-Shape-Refinement-Transformation (CSRT) method has the same advantages as the original CST method, while also...
doctoral thesis 2012
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Van Erp, H.R.N. (author), Linger, R.O. (author), Van Gelder, P.H.A.J.M. (author)
We introduce here Cartesian splines or, for short, C-splines. C-splines are piecewise polynomials which are defined on adjacent Cartesian coordinate systems and are Cr continuous throughout. The Cr continuity is enforced by constraining the coefficients of the polynomial to lie in the null-space of some smoothness matrix H . The matrix-product...
journal article 2011
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Schipper, H.R. (author), Janssen, B. (author)
Free form architecture with complex geometry brings along new challenges for manufacturers of building components. This paper describes the application of structural mechanics to predict the behaviour of an elastic mould surface, used as formwork for the manufacturing of double curved panels in precast concrete. Results are presented of...
conference paper 2011
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Schipper, H.R. (author), Janssen, B. (author)
Free form architecture with complex geometry brings along new challenges for manufacturers of building components. This paper describes the application of structural mechanics to predict the behaviour of an elastic mould surface, used as formwork for the manufacturing of double curved panels in precast concrete. Results are presented of...
journal article 2011
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De Visser, C.C. (author)
At present, model based control systems play an essential role in many aspects of modern society. Application areas of model based control systems range from food processing to medical imaging, and from process control in oil refineries to the flight control systems of modern aircraft. Central to a model based control system is a mathematical...
doctoral thesis 2011
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De Visser, C.C. (author), Chu, Q.P. (author), Mulder, J.A. (author)
The ability to perform online model identification for nonlinear systems with unknown dynamics is essential to any adaptive model-based control system. In this paper, a new differential equality constrained recursive least squares estimator for multivariate simplex splines is presented that is able to perform online model identification and...
journal article 2011
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De Visser, C.C. (author), Chu, Q.P. (author), Mulder, J.A. (author)
A new methodology for creating highly accurate, static nonlinear maps from scattered, multivariate data is presented. This new methodology uses the B-form polynomials of multivariate simplex splines in a new linear regression scheme. This allows the use of standard parameter estimation techniques for estimating the B-coefficients of the...
journal article 2009
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Baiker, M. (author), Vastenhouw, B. (author), Branderhorst, W. (author), Reiber, J.H.C. (author), Beekman, F. (author), Lelieveldt, B.P.F. (author)
Highly focused Micro-SPECT scanners enable the acquisition of functional small animal data with very high-resolution. To acquire a maximum of emitted photons from a specific structure of interest and at the same time minimize the required acquisition time, typically only a small subvolume of the animal is scanned that contains the organs of...
conference paper 2009
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Baiker, M. (author), Vastenhouw, B. (author), Branderhorst, S.W. (author), Reiber, J.H.C. (author), Beekman, F.J. (author), Lelieveld, B.P.F. (author)
Highly focused Micro-SPECT scanners enable the acquisition of functional small animal data with very high-resolution. To acquire a maximum of emitted photons from a specific structure of interest and at the same time minimize the required acquisition time, typically only a small subvolume of the animal is scanned that contains the organs of...
conference paper 2009
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Lee, B.J. (author), Kim, C. (author)
A new design approach for a delicate treatment of complex geometries such as wing/body configuration is arranged using overset mesh technique under large scale computing environment. For the in-depth study of the flow physics and highly accurate design, several special overlapped structured blocks such as collar grid, tip-cap grid, and etc....
conference paper 2006
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Cuoco, V. (author)
doctoral thesis 2006
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Moek, G. (author)
In this report, the application of estimation theory to three problems from aerospace research is described. The applications considered deal with spacecraft attitude estimation, software reliability modelling and estimation, and with a satellite-based navigation algorithm. Maximum likelihood estimation is used in the software reliability case...
report 1991
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de Reus, N.M. (author), Moek, G. (author), Olsder, G.J. (author)
A worldwide navigation system called NAVSAT is discussed. This positioning system is based on satellites which broadcast information which can be used by receivers of this Information to estimate their position. The motion of the users is modelled by splines. The estimation procedure is based on the extended Kalman filter approach.
report 1987
Searched for: subject%3A%22splines%22
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