Approximate Optimal Control Design for Nonlinear One-Dimensional Parabolic PDE Systems Using Empirical Eigenfunctions and Neural Network

IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics) ◽

10.1109/tsmcb.2012.2194781 ◽

2012 ◽

Vol 42 (6) ◽

pp. 1538-1549 ◽

Author(s):

Biao Luo ◽

Huai-Ning Wu

Keyword(s):

Neural Network ◽

Optimal Control ◽

Control Design ◽

One Dimensional ◽

Parabolic Pde ◽

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Static Collocated Piecewise Fuzzy Control Design of Quasi-Linear Parabolic PDE Systems Subject to Periodic Boundary Conditions

IEEE Transactions on Fuzzy Systems ◽

10.1109/tfuzz.2018.2881667 ◽

2019 ◽

Vol 27 (7) ◽

pp. 1479-1492 ◽

Author(s):

Jun-Wei Wang ◽

Han-Xiong Li

Keyword(s):

Fuzzy Control ◽

Boundary Conditions ◽

Periodic Boundary ◽

Control Design ◽

Periodic Boundary Conditions ◽

Parabolic Pde ◽

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Neural-network-based robust optimal control design for a class of uncertain nonlinear systems via adaptive dynamic programming

Information Sciences ◽

10.1016/j.ins.2014.05.050 ◽

2014 ◽

Vol 282 ◽

pp. 167-179 ◽

Author(s):

Ding Wang ◽

Derong Liu ◽

Hongliang Li ◽

Hongwen Ma

Keyword(s):

Neural Network ◽

Optimal Control ◽

Dynamic Programming ◽

Nonlinear Systems ◽

Control Design ◽

Adaptive Dynamic Programming ◽

Uncertain Nonlinear Systems ◽

Robust Optimal Control ◽

Adaptive Dynamic

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Distributed proportional-spatial derivative control design for 3-dimensional parabolic PDE systems

2015 5th International Conference on Information Science and Technology (ICIST) ◽

10.1109/icist.2015.7289039 ◽

2015 ◽

Author(s):

Chengdong Yang ◽

Jianlong Qiu ◽

Tongxing Li ◽

Xiao Chen ◽

Xiangyong Chen ◽

...

Keyword(s):

Control Design ◽

Spatial Derivative ◽

3 Dimensional ◽

Parabolic Pde ◽

Pde Systems ◽

Derivative Control

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Spatially Piecewise Fuzzy Control Design for Sampled-Data Exponential Stabilization of Semilinear Parabolic PDE Systems

IEEE Transactions on Fuzzy Systems ◽

10.1109/tfuzz.2018.2809686 ◽

2018 ◽

Vol 26 (5) ◽

pp. 2967-2980 ◽

Author(s):

Jun-Wei Wang ◽

Shun-Hung Tsai ◽

Han-Xiong Li ◽

Hak-Keung Lam

Keyword(s):

Fuzzy Control ◽

Control Design ◽

Exponential Stabilization ◽

Sampled Data ◽

Parabolic Pde ◽

Pde Systems ◽

Semilinear Parabolic

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POD-based reduced order optimal control of parabolic PDE systems via diffusivity-interior-boundary actuation

2007 46th IEEE Conference on Decision and Control ◽

10.1109/cdc.2007.4434933 ◽

2007 ◽

Author(s):

Chao Xu ◽

Yongsheng Ou ◽

Eugenio Schuster

Keyword(s):

Optimal Control ◽

Reduced Order ◽

Parabolic Pde ◽

Interior Boundary ◽

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Dynamic neural network-observer-based adaptive inverse optimal control design for unknown nonlinear systems

International Journal of Industrial Electronics and Drives ◽

10.1504/ijied.2015.072826 ◽

2015 ◽

Vol 2 (3) ◽

pp. 203

Author(s):

Ayman K. Alhejji ◽

Mohammad R. Sayeh

Keyword(s):

Neural Network ◽

Optimal Control ◽

Nonlinear Systems ◽

Control Design ◽

Inverse Optimal Control ◽

Dynamic Neural Network ◽

Neural Network Observer

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A novel neural network discrete‐time optimal control design for nonlinear time‐delay systems using adaptive critic designs

Optimal Control Applications and Methods ◽

10.1002/oca.2567 ◽

2020 ◽

Vol 41 (3) ◽

pp. 748-764 ◽

Author(s):

Yuling Liang ◽

Huaguang Zhang ◽

Kun Zhang ◽

Rui Wang

Keyword(s):

Neural Network ◽

Optimal Control ◽

Discrete Time ◽

Control Design ◽

Time Optimal Control ◽

Delay Systems ◽

Time Delay Systems ◽

Adaptive Critic ◽

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Improved value iteration for neural-network-based stochastic optimal control design

Neural Networks ◽

10.1016/j.neunet.2020.01.004 ◽

2020 ◽

Vol 124 ◽

pp. 280-295

Author(s):

Mingming Liang ◽

Ding Wang ◽

Derong Liu

Keyword(s):

Neural Network ◽

Optimal Control ◽

Stochastic Optimal Control ◽

Control Design ◽

Value Iteration

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Neural Network-Based Finite Horizon Stochastic Optimal Control Design for Nonlinear Networked Control Systems

IEEE Transactions on Neural Networks and Learning Systems ◽

10.1109/tnnls.2014.2315622 ◽

2015 ◽

Vol 26 (3) ◽

pp. 472-485 ◽

Author(s):

Hao Xu ◽

Sarangapani Jagannathan

Keyword(s):

Neural Network ◽

Optimal Control ◽

Control Systems ◽

Stochastic Optimal Control ◽

Networked Control Systems ◽

Control Design ◽

Finite Horizon ◽

Networked Control ◽

Nonlinear Networked Control Systems

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Finite-horizon neural network-based optimal control design for affine nonlinear continuous-time systems

The 2013 International Joint Conference on Neural Networks (IJCNN) ◽

10.1109/ijcnn.2013.6707062 ◽

2013 ◽

Author(s):

Qiming Zhao ◽

Hao Xu ◽

Travis Dierks ◽

S. Jagannathan

Keyword(s):

Neural Network ◽

Optimal Control ◽

Continuous Time ◽

Control Design ◽

Finite Horizon ◽

Continuous Time Systems ◽

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