Optimal Motion Planning for Differential Drive Mobile Robots based on Multiple-Interval Chebyshev Pseudospectral Methods
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DOI: 10.1017/s0263574720000430
Abstract: SUMMARY This paper presents a Chebyshev Pseudospectral (PS) method for solving the motion planning problem of nonholonomic mobile robots with kinematic and dynamic constraints. The state and control variables are expanded in the Chebyshev polynomial… read more here.
Keywords: multiple interval; chebyshev pseudospectral; motion planning; interval chebyshev ... See more keywords
Prediction of Dynamic Stability Using Mapped Chebyshev Pseudospectral Method
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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
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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