期刊
AUTOMATICA
卷 47, 期 1, 页码 207-214出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2010.10.033
关键词
Adaptive critic designs; Adaptive dynamic programming; Approximate dynamic programming; Neural network; Zero-sum differential games
资金
- National Natural Science Foundation of China [60821063, 60621001, 60728307, 61034005, 60904037, 60921061, 61034002]
- Beijing Natural Science Foundation [4102061]
- Program for Changjiang Scholars and Innovative Research Groups of China [60521003]
- National High Technology Research and Development Program of China [2006AA04Z183]
In this paper, a new iterative adaptive dynamic programming (ADP) method is proposed to solve a class of continuous-time nonlinear two-person zero-sum differential games. The idea is to use the ADP technique to obtain the optimal control pair iteratively which makes the performance index function reach the saddle point of the zero-sum differential games. If the saddle point does not exist, the mixed optimal control pair is obtained to make the performance index function reach the mixed optimum. Stability analysis of the nonlinear systems is presented and the convergence property of the performance index function is also proved. Two simulation examples are given to illustrate the performance of the proposed method. (C) 2010 Elsevier Ltd. All rights reserved.
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