Investigation of a perturbation method to solve essentially non-regular time-optimal control problems with state constraints*

2020 ◽  
Author(s):  
Roman Chertovskih ◽  
Anna Daryina ◽  
Askhat Diveev ◽  
Dmitry Karamzin ◽  
Fernando L. Pereira ◽  
...  
Keyword(s):  
Optimal Control ◽  
Perturbation Method ◽  
State Constraints ◽  
Optimal Control Problems ◽  
Time Optimal Control ◽  
Control Problems ◽  
Regular Time ◽  
Time Optimal

Neural Networks Solving Free and Fixed Final Time Optimal Control Problems

2014 ◽  
Vol 24 (02) ◽  
pp. 1440002
Author(s):  
Tibor Kmet
Keyword(s):  
Neural Network ◽  
Optimal Control ◽  
State Constraints ◽  
Optimal Control Problems ◽  
Time Optimal Control ◽  
Control Problems ◽  
Final Time ◽  
Adaptive Critic ◽  
Time Optimal ◽  
Control And State Constraints

In this paper, the neural network based optimal control synthesis is presented for solving free and fixed final time optimal control problems with the control and state constraints. The optimal control problem is transcribed into a nonlinear programming problem, which is implemented with the adaptive critic neural network. The proposed simulation methods are illustrated by the optimal control problem of photosynthetic production and the nitrogen transformation cycle model. The results show that the adaptive critic based systematic approach is promising in obtaining free and fixed final time optimal control with the control and state constraints.

scholarly journals On turnpike and dissipativity properties of continuous-time optimal control problems

Automatica ◽  
2017 ◽  
Vol 81 ◽  
pp. 297-304 ◽  
Author(s):  
Timm Faulwasser ◽  
Milan Korda ◽  
Colin N. Jones ◽  
Dominique Bonvin
Keyword(s):  
Optimal Control ◽  
Continuous Time ◽  
Optimal Control Problems ◽  
Time Optimal Control ◽  
Control Problems ◽  
Time Optimal
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