Self-learning control schemes for two-person zero-sum differential games of continuous-time nonlinear systems with saturating controllers

  • Authors:
  • Qinglai Wei;Derong Liu

  • Affiliations:
  • State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing, P.R. China;State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing, P.R. China

  • Venue:
  • ISNN'12 Proceedings of the 9th international conference on Advances in Neural Networks - Volume Part II
  • Year:
  • 2012

Quantified Score

Hi-index 0.00

Visualization

Abstract

In this paper, an adaptive dynamic programming (ADP)-based self-learning algorithm is developed for solving the two-person zero-sum differential games for continuous-time nonlinear systems with saturating controllers. Optimal control pair is iteratively obtained by the proposed ADP algorithm that makes the performance index function reach the saddle point of the zero-sum differential games. It shows that the iterative control pairs stabilize the nonlinear systems and the iterative performance index functions converge to the saddle point. Finally, a simulation example is given to illustrate the performance of the proposed method.