Results 91 to 100 of about 1,574 (222)
A comparison of accuracy and computational efficiency of three pseudospectral methods [PDF]
, 2007 A comparison is made between three pseudospectral methods used to numerically solve op timal control problems. In particular, the accuracy of the state, control, and costate obtained using the Legendre, Radau, and Gauss pseudospectral methods is compared.
David Benson +4 more
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Abstract and Applied Analysis, 2013 The shifted Jacobi-Gauss-Lobatto pseudospectral (SJGLP) method is applied to neutral functional-differential equations (NFDEs) with proportional delays.
A. H. Bhrawy, M. A. Alghamdi, D. Baleanu
doaj +1 more source
Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation
Journal of Computational and Applied Mathematics, 2006 Consider a differential equation on the half-line like, e.g., \(-U''(x) + \lambda U(x) = f(x)\), \(U(0) = \lim_{x \to \infty} U(x) = 0\) with some \(\lambda > 0\). For the numerical solution of such equations, a two-stage approach is suggested and analyzed.
Guo, Ben-Yu, Wang, Li-Lian
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Trajectory Tracking in Autonomous Driving Based on Improved hp Adaptive Pseudospectral Method
World Electric Vehicle JournalIntelligent driving technology can effectively improve transportation efficiency and vehicle safety and has become a development trend in automotive technology.
Yingjie Liu, Qianqian Wang
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Robust Control of Wave Energy Converters Using Spectral and Pseudospectral Methods: A Case Study [PDF]
, 2019 Although Spectral and Pseudospectral methods have been used in a wide range of optimal control applications, to date, most of the literature uses these methods in a nonrobust sense without considering possible dynamic deviation (uncertainties) from ...
García-Violini, Demián +3 more
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Optimizer Algorithms for Supervisory Control : Enabling Supervisor Input:(SUPEROPT D2)
, 2012 This document reports the methods developed by the SUPEROPT project for supervisor interaction with optimizers. Two mathematical forms for an optimizer to support a Multi-Sector Controller are presented and compared, including various constraint forms to
Richards, Arthur G, Turnbull, Oliver D N
core
SPARTAN: Rapid Trajectory Analysis via Pseudospectral Methods [PDF]
, 2021 We present SPARTAN: a tool developed by DLR able to transcribe multi-phase optimal-control prob-lems by using pseudospectral methods. The tool analyses the problem provided in continuous form,transforms it into an efficient finite-dimensional ...
Theil, Stephan +2 more
core
Direct trajectory optimization based on a mapped Chebyshev pseudospectral method
, 2013 In view of generating optimal trajectories of Bolza problems, standard Chebyshev pseudospectral (PS) method makes the points’ accumulation near the extremities and rarefaction of nodes close to the center of interval, which causes an ill-condition of ...
Guo, Xiao, Zhu, Ming
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Linear Gauss Pseudospectral Method Using Neighboring Extremal for Nonlinear Optimal Control Problems
AerospaceThis article proposes a method to solve nonlinear optimal control problems with arbitrary performance indices and terminal constraints, which is based on the neighboring extremal method and Gauss pseudospectral collocation.
Tianyou Zhang, Wanchun Chen, Liang Yang
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Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2011 We present some results on the relative performance of the pseudo-spectral time domain, finite difference time domain, and DDA methods in calculating single-particle optical scattering properties.
R. L. Panetta, >C. Liu, >P. Yang
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