arrow
Return

Sequential adaptive switching time optimization technique for optimal control problems

delete2022-12-01
delete12
PRE
AI
X
Xi Zhu
C
Changjun Yu *
K
Kok Lay Teo
DOI:10.1016/j.automatica.2022.110565delete
deleteOriginal
deleteOriginal request for help
deleteShare
deleteSave
Abstract

Abstract

En 中文
The control parameterization method used together with time-scaling transformation is an effective approach to transform optimal control problems into optimal parameter selection problems. The approximate problems can then be solved by gradient-based optimization methods. However, the conventional time-scaling transformation requires that all the control component functions switch simultaneously, which can be undesirable in practice. In this paper, we introduce a novel technique where the switching times for each of the control component functions can be adaptively selected. To demonstrate the effectiveness and flexibility of the proposed approach, two example problems with control input and terminal state constraints are solved using the method proposed. Numerical results show that the new method achieves much better objective values with some increase in computation time compared to the conventional time-scaling transformation technique.(c) 2022 Elsevier Ltd. All rights reserved.
Keywords:
Optimal control
Control parameterization
Switching time optimization
Time -scaling transformation
Gradient -based optimization

Journal

Automatica cover
Automatica
IF:
5.9
Papers:
1.2W
Citations:
5.2W

Organization

S
Sunway University
Scholars:
2.2K
Papers: 2.5K
Citations: 5.3K
S
shanghai university
Scholars:
3.9W
Papers: 2.7W
Citations: 52
Cited Papers

Cited Papers

Second-Order Switching Time Optimization for Switched Dynamical Systems
err2017-10-01
err38
errOAAI
errStellato, Bartolomeo; Ober-Blobaum, Sina; Goulart, Paul J.
errShare
errSave
Degradation of carbon tetrachloride in the presence of iron and sulphur containing compounds
err1994-10-01
err0
PREAI
errE. Lipczynska-Kochany; S. Harms; R. Milburn; G. Sprah; N. Nadarajah
errShare
errSave
Barcoding stingless bees: genetic diversity of the economically important genus Scaptotrigona in Mesoamerica
err2012-07-05
err0
errOAAI
errMiguel Hurtado-Burillo; Carlos Ruiz; William de Jesús May-Itzá; José Javier G. Quezada-Eúan; Pilar De la Rúa
errShare
errSave
Optimal control based coordinated taxiing path planning and tracking for multiple carrier aircraft on flight deck
err2022-02-01
err33
errOAAI
errWang, Xin-wei; Peng, Hai-jun; Liu, Jie; Dong, Xian-zhou; Zhao, Xu-dong; Lu, Chen
errShare
errSave
Numerical solution of free final time fractional optimal control problems
err2021-09-01
err28
PREAI
errGong, Zhaohua; Liu, Chongyang; Teo, Kok Lay; Wang, Song; Wu, Yonghong
errShare
errSave
researcher View more