Neural Network Based Finite Horizon Optimal Control for a Class of Nonlinear Systems with State Delay and Control Constraints

被引:0
|
作者
Lin, Xiaofeng [1 ]
Cao, Nuyun [1 ]
Lin, Yuzhang [2 ]
机构
[1] Guangxi Univ, Sch Elect Engn, Nanning 530004, Peoples R China
[2] Tsinghua Univ, Dept Elect Engn, Beijing 100083, Peoples R China
基金
中国国家自然科学基金;
关键词
LINEAR-SYSTEMS; TIME;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, a new finite horizon iterative ADP algorithm is used to solve a class of nonlinear systems with state delay and control constraints problem and finite timee epsilon-optimal control is obtained. First of all, a new performance index function is designed to deal with the control constraints, the discrete nonlinear systems HJB equation with state delay is presented. Second, the iterative process and mathematical proof of the convergence is illustrated for the proposed finite horizon ADP algorithm. Approximate optimal control is obtained by introducing an error bonde epsilon. Two BP neural networks are developed to approximate control law function and performance index function in our ADP algorithm. Finally, comparing simulation cases are used to verify the effectiveness of the method proposed in this paper.
引用
收藏
页数:6
相关论文
共 50 条
  • [21] Finite-Horizon Optimal Adaptive Neural Network Control of Uncertain Nonlinear Discrete-time Systems
    Zhao, Qiming
    Xu, Hao
    Jagannathan, S.
    2013 IEEE INTERNATIONAL SYMPOSIUM ON INTELLIGENT CONTROL (ISIC), 2013, : 41 - 46
  • [22] Neural network solution for finite-horizon H-infinity constrained optimal control of nonlinear systems
    Frank L.LEWIS
    JournalofControlTheoryandApplications, 2007, (01) : 1 - 11
  • [23] A neural-network-based iterative GDHP approach for solving a class of nonlinear optimal control problems with control constraints
    Wang, Ding
    Liu, Derong
    Zhao, Dongbin
    Huang, Yuzhu
    Zhang, Dehua
    NEURAL COMPUTING & APPLICATIONS, 2013, 22 (02): : 219 - 227
  • [24] A neural-network-based iterative GDHP approach for solving a class of nonlinear optimal control problems with control constraints
    Ding Wang
    Derong Liu
    Dongbin Zhao
    Yuzhu Huang
    Dehua Zhang
    Neural Computing and Applications, 2013, 22 : 219 - 227
  • [25] Neural-Network-Based Optimal Control for a Class of Nonlinear Discrete-Time Systems With Control Constraints Using the Iterative GDHP Algorithm
    Liu, Derong
    Wang, Ding
    Zhao, Dongbin
    2011 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS (IJCNN), 2011, : 53 - 60
  • [26] Optimal Feedback Control of Nonlinear Systems with a Finite Horizon Based on HJ Equations
    Imae, Joe
    Kawanoue, Masakatsu
    Kobayashi, Tomoaki
    2015 IEEE INTERNATIONAL CONFERENCE ON INDUSTRIAL TECHNOLOGY (ICIT), 2015, : 363 - 365
  • [27] Distributed Optimal Control for a Class of Switched Nonlinear Systems with the State Time Delay
    Duan, Yuxing
    Su, Baili
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
  • [28] Neural network based fault tolerant control of a class of nonlinear systems with input time delay
    Liu, M
    Liu, P
    Zhou, DH
    ADVANCES IN NEURAL NETWORKS - ISNN 2004, PT 2, 2004, 3174 : 91 - 96
  • [29] Neural network adaptive finite-time control of stochastic nonlinear systems with full state constraints
    Zhu, Qidan
    Liu, Yongchao
    ASIAN JOURNAL OF CONTROL, 2021, 23 (04) : 1728 - 1739
  • [30] Adaptive Neural Network Control for a Class of Nonlinear Systems With Function Constraints on States
    Liu, Yan-Jun
    Zhao, Wei
    Liu, Lei
    Li, Dapeng
    Tong, Shaocheng
    Chen, C. L. Philip
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2023, 34 (06) : 2732 - 2741