A unified symplectic pseudospectral method for motion planning and tracking control of 3D underactuated overhead cranes
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.4488
Abstract: In this paper, a unified symplectic pseudospectral method for motion planning and tracking control of 3D underactuated overhead cranes is proposed. A feasible reference trajectory taking constraints into consideration is first generated offline by the… read more here.
Keywords: symplectic pseudospectral; unified symplectic; pseudospectral method; trajectory ... See more keywords
Highly accurate numerical solution of Hartree–Fock equation with pseudospectral method for closed-shell atoms
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Chemistry"
DOI: 10.1007/s10910-020-01144-z
Abstract: The Hartree–Fock (HF) equation for atoms with closed (sub)shells is transformed with the pseudospectral (PS) method into a discrete eigenvalue equation for scaled orbitals on a finite radial grid. The Fock exchange operator and the… read more here.
Keywords: pseudospectral method; numerical solution; fock; equation ... See more keywords
High-fidelity trajectory optimization for aeroassisted vehicles using variable order pseudospectral method
Sign Up to like & getrecommendations! Published in 2020 at "Chinese Journal of Aeronautics"
DOI: 10.1016/j.cja.2020.07.032
Abstract: Abstract In this study, the problem of time-optimal reconnaissance trajectory design for the aeroassisted vehicle is considered. Different from most works reported previously, we explore the feasibility of applying a high-order aeroassisted vehicle dynamic model… read more here.
Keywords: trajectory; order; pseudospectral method; model ... See more keywords
Prediction of Dynamic Stability Using Mapped Chebyshev Pseudospectral Method
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Aerospace Engineering"
DOI: 10.1155/2018/2508153
Abstract: A mapped Chebyshev pseudospectral method is extended to solve three-dimensional unsteady flow problems. As the classical Chebyshev spectral approach can lead to numerical instabilities due to ill conditioning of the spectral matrix, the Chebyshev points… read more here.
Keywords: pseudospectral method; time; method; unsteady flow ... See more keywords
Helicopter Rotor Flow Analysis Using Mapped Chebyshev Pseudospectral Method and Overset Mesh Topology
Sign Up to like & getrecommendations! Published in 2018 at "Mathematical Problems in Engineering"
DOI: 10.1155/2018/9745862
Abstract: Unsteady helicopter rotor flows are solved by a Chebyshev pseudospectral method with overset mesh topology which employs Chebyshev polynomials for solution approximation and a Chebyshev collocation operator to represent the time derivative term of the… read more here.
Keywords: computation; pseudospectral method; time; method ... See more keywords
An optimal integral sliding mode control strategy based on a pseudospectral method for a class of affine systems
Sign Up to like & getrecommendations! Published in 2017 at "Transactions of the Institute of Measurement and Control"
DOI: 10.1177/0142331215622809
Abstract: This paper presents an optimal integral sliding mode control method based on a pseudospectral method for a class of affine systems with state and control constraints. First, a general form of an integral sliding mode… read more here.
Keywords: sliding mode; pseudospectral method; control; method ... See more keywords
Optimal transfer orbit design of spacecraft with finite thrust based on Legendre pseudospectral method
Sign Up to like & getrecommendations! Published in 2022 at "Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering"
DOI: 10.1177/09544100221138164
Abstract: This article explores the application of the Legendre pseudospectral method to spacecraft orbital transfer with finite thrust optimization problem. Firstly, the model of the orbital transfer optimization control problem was established, while equations of motion… read more here.
Keywords: problem; transfer; pseudospectral method; legendre pseudospectral ... See more keywords
Pseudospectral-Method-Based Framework for Rotorcraft Stability and Trim Analysis
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Aircraft"
DOI: 10.2514/1.c037187
Abstract: The paper demonstrates applications of pseudospectral-method-based framework to rotorcraft dynamics. The framework is developed to incorporate blade-to-blade symmetry (fast-Floquet) to reduce computational time. The methodology is applied to compute Floquet exponents of an isolated rotor… read more here.
Keywords: based framework; method based; framework rotorcraft; framework ... See more keywords
Optimal control of a parabolic distributed parameter system using a fully exponentially convergent barycentric shifted Gegenbauer integral pseudospectral method
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Industrial and Management Optimization"
DOI: 10.3934/jimo.2017056
Abstract: In this paper, we introduce a novel fully exponentially convergent direct integral pseudospectral method for the numerical solution of optimal control problems governed by a parabolic distributed parameter system. The proposed method combines the superior… read more here.
Keywords: distributed parameter; parameter system; pseudospectral method; method ... See more keywords
A PSO-enhanced Gauss pseudospectral method to solve trajectory planning for autonomous underwater vehicles
Sign Up to like & getrecommendations! Published in 2023 at "Mathematical Biosciences and Engineering"
DOI: 10.3934/mbe.2023521
Abstract: A fast optimization method based on the Gauss pseudospectral method (GPM) and particle swarm optimization (PSO) is studied for trajectory optimization of obstacle-avoidance navigation of autonomous underwater vehicles (AUVs). A multi-constraint trajectory planning model is… read more here.
Keywords: trajectory planning; pseudospectral method; method; gauss pseudospectral ... See more keywords