Reentry tracking control of hypersonic glider based on Legendre pseudospectral method

2018 ◽  
Author(s):  
Gong Zifeng ◽  
Zhang Hexin ◽  
Hu Xiaoxiang ◽  
Wu Yubin ◽  
Song Rui
Keyword(s):  
Tracking Control ◽  
Pseudospectral Method ◽  
Legendre Pseudospectral Method

Multiobjective gearshift optimization with Legendre pseudospectral method for seamless two-speed transmission

2020 ◽  
Vol 145 ◽  
pp. 103682
Author(s):  
Yanwei Liu ◽  
Ziyue Lin ◽  
Kegang Zhao ◽  
Jie Ye ◽  
Xiangdong Huang
Keyword(s):  
Pseudospectral Method ◽  
Legendre Pseudospectral Method

Costate Estimation by a Legendre Pseudospectral Method

2001 ◽  
Vol 24 (2) ◽  
pp. 270-277 ◽  
Author(s):  
Fariba Fahroo ◽  
I. Michael Ross
Keyword(s):  
Pseudospectral Method ◽  
Legendre Pseudospectral Method

scholarly journals Numerical Analysis of Constrained, Time-Optimal Satellite Reorientation

2012 ◽  
Vol 2012 ◽  
pp. 1-19 ◽  
Author(s):  
Robert G. Melton
Keyword(s):  
Numerical Analysis ◽  
High Intensity ◽  
Numerical Solutions ◽  
Pseudospectral Method ◽  
Optimal Solutions ◽  
Path Constraints ◽  
Time Optimal ◽  
Stage Process ◽  
Legendre Pseudospectral Method ◽  
Method Show

Previous work on time-optimal satellite slewing maneuvers, with one satellite axis (sensor axis) required to obey multiple path constraints (exclusion from keep-out cones centered on high-intensity astronomical sources) reveals complex motions with no part of the trajectory touching the constraint boundaries (boundary points) or lying along a finite arc of the constraint boundary (boundary arcs). This paper examines four cases in which the sensor axis is either forced to follow a boundary arc, or has initial and final directions that lie on the constraint boundary. Numerical solutions, generated via a Legendre pseudospectral method, show that the forced boundary arcs are suboptimal. Precession created by the control torques, moving the sensor axis away from the constraint boundary, results in faster slewing maneuvers. A two-stage process is proposed for generating optimal solutions in less time, an important consideration for eventual onboard implementation.

A unified symplectic pseudospectral method for motion planning and tracking control of 3D underactuated overhead cranes

2019 ◽  
Vol 29 (7) ◽  
pp. 2236-2253 ◽  
Author(s):  
Xinwei Wang ◽  
Jie Liu ◽  
Yong Zhang ◽  
Boyang Shi ◽  
Dianheng Jiang ◽  
...  
Keyword(s):  
Motion Planning ◽  
Tracking Control ◽  
Pseudospectral Method ◽  
Overhead Cranes
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