Free time optimal control problems with unilateral state constraints

2006 ◽  
pp. 347-360 ◽  
Author(s):  
P. D. Loewen ◽  
R. B. Vinter
Keyword(s):  
Optimal Control ◽  
State Constraints ◽  
Optimal Control Problems ◽  
Free Time ◽  
Time Optimal Control ◽  
Control Problems ◽  
Time Optimal

scholarly journals ON DIFFERENTIATION OF FUNCTIONALS OF APPROXIMATING PROBLEMS IN THE FRAME OF SOLUTION OF FREE TIME OPTIMAL CONTROL PROBLEMS BY THE SLIDING NODES METHOD

2018 ◽  
pp. 861-876
Author(s):  
Andrei Vladimirovich Chernov
Keyword(s):  
Optimal Control ◽  
Optimal Control Problems ◽  
Free Time ◽  
Time Optimal Control ◽  
Control Problems ◽  
Control Parametrization ◽  
Derivative Formulas ◽  
Control Parametrization Technique ◽  
Time Optimal ◽  
And Control

We give strict justification for derivative formulas of functionals in problems approximating free time optimal control problems in the frame of sliding nodes method and control parametrization technique. As example we present results of numerical solution for landing on the Moon problem.

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.

Sign in / Sign up

Export Citation Format

Share Document