期刊
IEEE ACCESS
卷 7, 期 -, 页码 145574-145581出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/ACCESS.2019.2945970
关键词
Adaptive dynamic programming (ADP); delay systems; neural network (NN); nonlinear systems; optimal control
资金
- National Natural Science Foundation of China [61603179, 61873123, 61873127]
- China Postdoctoral Science Foundation [2019T120427]
Drawing upon Lyapunov stability theories and online adaptive dynamic programming (ADP) technique, we propose a novel optimal control scheme for the nonlinear time delay system. Our contribution is twofold. First, we investigate the asymptotical stability problem and obtain a generalized stability condition in terms of linear matrix inequalities (LMIs). An explicit, easy-computing delay bound is presented by virtue of Gronwall's inequality. Second, we propose the neural network (NN)-based optimal control strategy by utilizing two approximate NNs. The NN-based optimal control law converges to the real optimal control law since that the estimation errors of NNs weights converge to zero. Numerical examples are presented to illustrate our results.
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