Parametric approximate optimal control of uncertain differential game with application to counter terror

2021 ◽  
Vol 146 ◽  
pp. 110940
Author(s):  
Bo Li ◽  
Ranran Zhang ◽  
Ting Jin ◽  
Yadong Shu
Keyword(s):  
Optimal Control ◽  
Differential Game

Solving the Problem of UAV Air Combat Game Based on Differential Variational Inequality and D-Gap Function

2014 ◽  
Vol 1042 ◽  
pp. 172-177
Author(s):  
Guang Yan Xu ◽  
Ping Li ◽  
Biao Zhou
Keyword(s):  
Optimal Control ◽  
Variational Inequality ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Differential Game ◽  
Numerical Solutions ◽  
Game Problem ◽  
Gap Function ◽  
Differential Variational Inequality ◽  
Air Combat

The strategy of unmanned aerial vehicle air combat can be described as a differential game problem. The analytical solutions for the general differential game problem are usually difficult to obtain. In most cases, we can only get its numerical solutions. In this paper, a Nash differential game problem is converted to the corresponding differential variational inequality problem, and then converted into optimal control problem via D-gap function. The nonlinear continuous optimal control problem is obtained, which is easy to get numerical solutions. Compared with other conversion methods, the specific solving process of this method is more simple, so it has certain validity and feasibility.

scholarly journals OPTIMAL CONTROL USING PONTRYAGIN'S MAXIMUM PRINCIPLE IN A LINEAR QUADRATIC DIFFERENTIAL GAME

2012 ◽  
Vol 09 ◽  
pp. 543-551
Author(s):  
MARZIEH KHAKESTARI ◽  
GAFURJAN IBRAGIMOV ◽  
MOHAMED SULEIMAN
Keyword(s):  
Optimal Control ◽  
Maximum Principle ◽  
Differential Game ◽  
Quadratic Differential ◽  
Pontryagin’S Maximum Principle ◽  
Linear Quadratic ◽  
Pontryagin's Maximum Principle ◽  
The Maximum Principle ◽  
Control Functions ◽  
Linear Quadratic Differential Games

This paper deals with a class of two person zero-sum linear quadratic differential games, where the control functions for both players subject to integral constraints. Also the necessary conditions of the Maximum Principle are studied. Main objective in this work is to obtain optimal control by using method of Pontryagin's Maximum Principle. This method for a time-varying linear quadratic differential game is described. Finally, we discuss about an example.

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