메뉴 건너뛰기




Volumn 50, Issue 12, 2014, Pages 3281-3290

Data-based approximate policy iteration for affine nonlinear continuous-time optimal control design

Author keywords

Data based approximate policy iteration; Hamilton Jacobi Bellman equation; Neural network; Nonlinear optimal control; Off policy; Reinforcement learning

Indexed keywords

CONTINUOUS TIME SYSTEMS; COST FUNCTIONS; DESIGN; DYNAMIC PROGRAMMING; LEAST SQUARES APPROXIMATIONS; NEURAL NETWORKS; NONLINEAR EQUATIONS; OPTIMAL CONTROL SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; REINFORCEMENT LEARNING;

EID: 84919448289     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2014.10.056     Document Type: Article
Times cited : (256)

References (32)
  • 1
    • 14844340822 scopus 로고    scopus 로고
    • Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach
    • Murad Abu-Khalaf, and Frank L. Lewis Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach Automatica 41 5 2005 779 791
    • (2005) Automatica , vol.41 , Issue.5 , pp. 779-791
    • Abu-Khalaf, M.1    Lewis, F.L.2
  • 3
    • 0031332446 scopus 로고    scopus 로고
    • Galerkin approximations of the generalized Hamilton-Jacobi-Bellman equation
    • Randal W. Beard, George N. Saridis, and John T. Wen Galerkin approximations of the generalized Hamilton-Jacobi-Bellman equation Automatica 33 12 1997 2159 2177
    • (1997) Automatica , vol.33 , Issue.12 , pp. 2159-2177
    • Beard, R.W.1    Saridis, G.N.2    Wen, J.T.3
  • 7
    • 84880065287 scopus 로고    scopus 로고
    • Finite-horizon control-constrained nonlinear optimal control using single network adaptive critics
    • Ali Heydari, and Sivasubramanya N. Balakrishnan Finite-horizon control-constrained nonlinear optimal control using single network adaptive critics IEEE Transactions on Neural Networks and Learning Systems 24 1 2013 147 157
    • (2013) IEEE Transactions on Neural Networks and Learning Systems , vol.24 , Issue.1 , pp. 147-157
    • Heydari, A.1    Balakrishnan, S.N.2
  • 9
    • 84899471403 scopus 로고    scopus 로고
    • Robust adaptive dynamic programming and feedback stabilization of nonlinear systems
    • Yu Jiang, and Z.-P. Jiang Robust adaptive dynamic programming and feedback stabilization of nonlinear systems IEEE Transactions on Neural Networks and Learning Systems 25 5 2014 882 893
    • (2014) IEEE Transactions on Neural Networks and Learning Systems , vol.25 , Issue.5 , pp. 882-893
    • Jiang, Y.1    Jiang, Z.-P.2
  • 10
    • 84865467087 scopus 로고    scopus 로고
    • Computational adaptive optimal control for continuous-time linear systems with completely unknown dynamics
    • Yu Jiang, and Zhong-Ping Jiang Computational adaptive optimal control for continuous-time linear systems with completely unknown dynamics Automatica 48 10 2012 2699 2704
    • (2012) Automatica , vol.48 , Issue.10 , pp. 2699-2704
    • Jiang, Y.1    Jiang, Z.-P.2
  • 11
    • 84884901270 scopus 로고    scopus 로고
    • Robust adaptive dynamic programming for linear and nonlinear systems: An overview
    • Zhong-Ping Jiang, and Yu Jiang Robust adaptive dynamic programming for linear and nonlinear systems: an overview European Journal of Control 19 5 2013 417 425
    • (2013) European Journal of Control , vol.19 , Issue.5 , pp. 417-425
    • Jiang, Z.-P.1    Jiang, Y.2
  • 12
    • 84914965022 scopus 로고
    • On an iterative technique for Riccati equation computations
    • David L. Kleinman On an iterative technique for Riccati equation computations IEEE Transactions on Automatic Control 13 1 1968 114 115
    • (1968) IEEE Transactions on Automatic Control , vol.13 , Issue.1 , pp. 114-115
    • Kleinman, D.L.1
  • 13
    • 84867400046 scopus 로고    scopus 로고
    • Integral Q-learning and explorized policy iteration for adaptive optimal control of continuous-time linear systems
    • Jae Young Lee, Jin Bae Park, and Yoon Ho Choi Integral Q-learning and explorized policy iteration for adaptive optimal control of continuous-time linear systems Automatica 48 11 2012 2850 2859
    • (2012) Automatica , vol.48 , Issue.11 , pp. 2850-2859
    • Lee, J.Y.1    Park, J.B.2    Choi, Y.H.3
  • 16
    • 84883537695 scopus 로고    scopus 로고
    • Reinforcement learning and feedback control: Using natural decision methods to design optimal adaptive controllers
    • Frank L. Lewis, Draguna Vrabie, and Kyriakos G. Vamvoudakis Reinforcement learning and feedback control: using natural decision methods to design optimal adaptive controllers IEEE Control Systems 32 6 2012 76 105
    • (2012) IEEE Control Systems , vol.32 , Issue.6 , pp. 76-105
    • Lewis, F.L.1    Vrabie, D.2    Vamvoudakis, K.G.3
  • 17
    • 84886822056 scopus 로고    scopus 로고
    • The control parameterization method for nonlinear optimal control: A survey
    • Qun Lin, Ryan Loxton, and Kok Lay Teo The control parameterization method for nonlinear optimal control: a survey Journal of Industrial and Management Optimization 10 1 2014 275 309
    • (2014) Journal of Industrial and Management Optimization , vol.10 , Issue.1 , pp. 275-309
    • Lin, Q.1    Loxton, R.2    Teo, K.L.3
  • 18
    • 84893640946 scopus 로고    scopus 로고
    • Decentralized stabilization for a class of continuous-time nonlinear interconnected systems using online learning optimal control approach
    • Derong Liu, Ding Wang, and Hongliang Li Decentralized stabilization for a class of continuous-time nonlinear interconnected systems using online learning optimal control approach IEEE Transactions on Neural Networks and Learning Systems 25 2 2014 418 428
    • (2014) IEEE Transactions on Neural Networks and Learning Systems , vol.25 , Issue.2 , pp. 418-428
    • Liu, D.1    Wang, D.2    Li, H.3
  • 20
    • 84925883034 scopus 로고    scopus 로고
    • Adaptive optimal control of highly dissipative nonlinear spatially distributed processes with neuro-dynamic programming
    • in press
    • Biao Luo, H.-N. Wu, and H.-X. Li Adaptive optimal control of highly dissipative nonlinear spatially distributed processes with neuro-dynamic programming IEEE Transactions on Neural Networks and Learning Systems 2014 10.1109/TNNLS.2014.2320744 in press
    • (2014) IEEE Transactions on Neural Networks and Learning Systems
    • Luo, B.1    Wu, H.-N.2    Li, H.-X.3
  • 21
    • 84988290534 scopus 로고    scopus 로고
    • Data-based suboptimal neuro-control design with reinforcement learning for dissipative spatially distributed processes
    • Biao Luo, Huai-Ning Wu, and Han-Xiong Li Data-based suboptimal neuro-control design with reinforcement learning for dissipative spatially distributed processes Industrial & Engineering Chemistry Research 53 29 2014 8106 8119
    • (2014) Industrial & Engineering Chemistry Research , vol.53 , Issue.29 , pp. 8106-8119
    • Luo, B.1    Wu, H.-N.2    Li, H.-X.3
  • 23
    • 0011636441 scopus 로고
    • A new algorithm for adaptive multidimensional integration
    • G. Peter Lepage A new algorithm for adaptive multidimensional integration Journal of Computational Physics 27 2 1978 192 203
    • (1978) Journal of Computational Physics , vol.27 , Issue.2 , pp. 192-203
    • Peter Lepage, G.1
  • 25
  • 26
    • 0035273403 scopus 로고    scopus 로고
    • Online learning control by association and reinforcement
    • Jennie Si, and Yu-Tsung Wang Online learning control by association and reinforcement IEEE Transactions on Neural Networks 12 2 2001 264 276
    • (2001) IEEE Transactions on Neural Networks , vol.12 , Issue.2 , pp. 264-276
    • Si, J.1    Wang, Y.-T.2
  • 28
    • 77950630017 scopus 로고    scopus 로고
    • Online actor-critic algorithm to solve the continuous-time infinite horizon optimal control problem
    • Kyriakos G. Vamvoudakis, and Frank L. Lewis Online actor-critic algorithm to solve the continuous-time infinite horizon optimal control problem Automatica 46 5 2010 878 888
    • (2010) Automatica , vol.46 , Issue.5 , pp. 878-888
    • Vamvoudakis, K.G.1    Lewis, F.L.2
  • 29
    • 67349145396 scopus 로고    scopus 로고
    • Neural network approach to continuous-time direct adaptive optimal control for partially unknown nonlinear systems
    • Draguna Vrabie, and Frank L. Lewis Neural network approach to continuous-time direct adaptive optimal control for partially unknown nonlinear systems Neural Networks 22 3 2009 237 246
    • (2009) Neural Networks , vol.22 , Issue.3 , pp. 237-246
    • Vrabie, D.1    Lewis, F.L.2
  • 30
    • 70350493665 scopus 로고    scopus 로고
    • Time delayed optimal control problems with multiple characteristic time points: Computation and industrial applications
    • Ling Yun Wang, Wei Hua Gui, Kok Lay Teo, Ryan C. Loxton, and Chun Hua Yang Time delayed optimal control problems with multiple characteristic time points: computation and industrial applications Journal of Industrial and Management Optimization 5 4 2009 705 718
    • (2009) Journal of Industrial and Management Optimization , vol.5 , Issue.4 , pp. 705-718
    • Wang, L.Y.1    Gui, W.H.2    Teo, K.L.3    Loxton, R.C.4    Yang, C.H.5
  • 31
    • 84864489666 scopus 로고    scopus 로고
    • Optimal control of unknown nonaffine nonlinear discrete-time systems based on adaptive dynamic programming
    • Ding Wang, Derong Liu, Qinglai Wei, Dongbin Zhao, and Ning Jin Optimal control of unknown nonaffine nonlinear discrete-time systems based on adaptive dynamic programming Automatica 48 8 2012 1825 1832
    • (2012) Automatica , vol.48 , Issue.8 , pp. 1825-1832
    • Wang, D.1    Liu, D.2    Wei, Q.3    Zhao, D.4    Jin, N.5
  • 32
    • 83655163786 scopus 로고    scopus 로고
    • Data-driven robust approximate optimal tracking control for unknown general nonlinear systems using adaptive dynamic programming method
    • Huaguang Zhang, Lili Cui, Xin Zhang, and Yanhong Luo Data-driven robust approximate optimal tracking control for unknown general nonlinear systems using adaptive dynamic programming method IEEE Transactions on Neural Networks 22 12 2011 2226 2236
    • (2011) IEEE Transactions on Neural Networks , vol.22 , Issue.12 , pp. 2226-2236
    • Zhang, H.1    Cui, L.2    Zhang, X.3    Luo, Y.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.