Machine Learning and Intelligent Communications. 4th International Conference, MLICOM 2019, Nanjing, China, August 24–25, 2019, Proceedings

Research Article

Optimal Control of Navigation Systems with Time Delays Using Neural Networks

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  • @INPROCEEDINGS{10.1007/978-3-030-32388-2_60,
        author={Jing Zhu and Yijing Hou},
        title={Optimal Control of Navigation Systems with Time Delays Using Neural Networks},
        proceedings={Machine Learning and Intelligent Communications. 4th International Conference, MLICOM 2019, Nanjing, China, August 24--25, 2019, Proceedings},
        proceedings_a={MLICOM},
        year={2019},
        month={10},
        keywords={Online ADP Optimal control Time delay Neural network Nonlinear control Navigation control system},
        doi={10.1007/978-3-030-32388-2_60}
    }
    
  • Jing Zhu
    Yijing Hou
    Year: 2019
    Optimal Control of Navigation Systems with Time Delays Using Neural Networks
    MLICOM
    Springer
    DOI: 10.1007/978-3-030-32388-2_60
Jing Zhu,*, Yijing Hou1
  • 1: Nanjing University of Aeronautics and Astronautics
*Contact email: drzhujing@nuaa.edu.cn

Abstract

In this paper, an online adaptive dynamic programming (ADP) scheme is proposed to achieve the optimal regulation control of navigation control systems subject to time delays with input constraints. The optimal control strategy is developed in virtue of Lyapunov theories and neural networks (NNs) techniques. From a robust control perspective, we investigate the stability on navigation time delay systems concerning input constraints by means of linear matrix inequalities (LMIs) and set up the optimal control policy, on which basis that a novel NN-based approach is proposed. A single NN is used to estimate the performance function, the constrained control and consequently the optimal control policy with the weights online tuned. Finally, numerical examples are demonstrated to illustrate our results.