메뉴 건너뛰기




Volumn 22, Issue 7, 2012, Pages 1161-1170

Online policy iteration algorithm for optimal control of linear hyperbolic PDE systems

Author keywords

Convergence; Distributed optimal control; Hyperbolic PDE systems; Policy iteration; Space dependent Riccati differential equation

Indexed keywords

CONVERGENCE; DISTRIBUTED OPTIMAL CONTROL; HYPERBOLIC PDES; POLICY ITERATION; RICCATI DIFFERENTIAL EQUATION;

EID: 84864324494     PISSN: 09591524     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jprocont.2012.04.011     Document Type: Article
Times cited : (24)

References (47)
  • 6
    • 84869489097 scopus 로고    scopus 로고
    • Approximate optimal control design for nonlinear one-dimensional parabolic PDE systems using empirical eigenfunctions and neural network
    • doi:10.1109/TSMCB.2012.2194781
    • B. Luo, H.-N. Wu, 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, in press.
    • IEEE Transactions on Systems, Man, and Cybernetics , Issue.PART B
    • Luo, B.1    Wu, H.-N.2
  • 7
    • 45949083297 scopus 로고    scopus 로고
    • Optimal control of diffusion-convection-reaction processes using reduced-order models
    • M. Li, and P.D. Christofides Optimal control of diffusion-convection- reaction processes using reduced-order models Computers and Chemical Engineering 32 9 2008 2123 2135
    • (2008) Computers and Chemical Engineering , vol.32 , Issue.9 , pp. 2123-2135
    • Li, M.1    Christofides, P.D.2
  • 8
    • 78751649997 scopus 로고    scopus 로고
    • Sequential linear quadratic control of bilinear parabolic PDEs based on POD model reduction
    • C. Xu, Y. Ou, and E. Schuster Sequential linear quadratic control of bilinear parabolic PDEs based on POD model reduction Automatica 47 2 2011 418 426
    • (2011) Automatica , vol.47 , Issue.2 , pp. 418-426
    • Xu, C.1    Ou, Y.2    Schuster, E.3
  • 9
    • 34547133970 scopus 로고    scopus 로고
    • Robust/optimal temperature profile control of a high-speed aerospace vehicle using neural networks
    • DOI 10.1109/TNN.2007.899229, Neural Networks for Feedback Control Systems
    • V. Yadav, R. Padhi, and S.N. Balakrishnan Robust/optimal temperature profile control of a high-speed aerospace vehicle using neural networks IEEE Transactions Neural Network 18 4 2007 1115 1128 (Pubitemid 47098885)
    • (2007) IEEE Transactions on Neural Networks , vol.18 , Issue.4 , pp. 1115-1128
    • Yadav, V.1    Padhi, R.2    Balakrishnan, S.N.3
  • 10
    • 0035427378 scopus 로고    scopus 로고
    • Adaptive-critic based optimal neuro control synthesis for distributed parameter systems
    • DOI 10.1016/S0005-1098(01)00093-0, PII S0005109801000930
    • R. Padhi, S.N. Balakrishnan, and T. Randolph Adaptive-critic based optimal neuro control synthesis for distributed parameter systems Automatica 37 8 2001 1223 1234 (Pubitemid 32610253)
    • (2001) Automatica , vol.37 , Issue.8 , pp. 1223-1234
    • Padhi, R.1    Balakrishnan, S.N.2    Randolph, T.3
  • 11
    • 0022660304 scopus 로고
    • Finite dimensional control of distributed parameter systems by Galerkin approximation of infinite dimensional controller
    • M.J. Balas Finite dimensional control of distributed parameter systems by Galerkin approximation of infinite dimensional controller Journal of Mathematical Analysis and Applications 114 1 1986 17 36
    • (1986) Journal of Mathematical Analysis and Applications , vol.114 , Issue.1 , pp. 17-36
    • Balas, M.J.1
  • 12
    • 0000068898 scopus 로고    scopus 로고
    • Optimal Temperature Control of a Steady-State Exothermic Plug-Flow Reactor
    • DOI 10.1002/aic.690480212
    • I.Y. Smets, D. Dochain, and J.F. Van Impe Optimal temperature control of a steady-state exothermic plug-flow reactor AIChE Journal 48 2 2002 279 286 (Pubitemid 37442376)
    • (2002) AIChE Journal , vol.48 , Issue.2 , pp. 279-286
    • Smets, I.Y.1    Dochain, D.2    Van Impe, J.F.3
  • 13
    • 34547112281 scopus 로고    scopus 로고
    • Optimal LQ-feedback regulation of a nonisothermal plug flow reactor model by spectral factorization
    • DOI 10.1109/TAC.2007.900823
    • I. Aksikas, J.J. Winkin, and D. Dochain Optimal LQ-feedback regulation of a nonisothermal plug flow reactor model by spectral factorization IEEE Transactions on Automatic Control 52 7 2007 1179 1193 (Pubitemid 47098931)
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.7 , pp. 1179-1193
    • Aksikas, I.1    Winkin, J.J.2    Dochain, D.3
  • 14
    • 67349210077 scopus 로고    scopus 로고
    • LQ control design of a class of hyperbolic PDE systems: Application to fixed-bed reactor
    • I. Aksikas, A. Fuxman, J.F. Forbes, and J.J. Winkin LQ control design of a class of hyperbolic PDE systems: application to fixed-bed reactor Automatica 45 6 2009 1542 1548
    • (2009) Automatica , vol.45 , Issue.6 , pp. 1542-1548
    • Aksikas, I.1    Fuxman, A.2    Forbes, J.F.3    Winkin, J.J.4
  • 15
    • 47749145275 scopus 로고    scopus 로고
    • Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays
    • M. Krstic, and A. Smyshlyaev Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays Systems Control Letters 57 9 2008 750 758
    • (2008) Systems Control Letters , vol.57 , Issue.9 , pp. 750-758
    • Krstic, M.1    Smyshlyaev, A.2
  • 16
    • 33847379688 scopus 로고    scopus 로고
    • A strict lyapunov function for boundary control of hyperbolic systems of conservation laws
    • DOI 10.1109/TAC.2006.887903
    • J.M. Coron, B. D'Andrea-Novel, and G. Bastin A strict Lyapunov function for boundary control of hyperbolic systems of conservation laws IEEE Transactions on Automatic Control 52 1 2007 2 11 (Pubitemid 46343993)
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.1 , pp. 2-11
    • Coron, J.-M.1    D'Andrea-Novel, B.2    Bastin, G.3
  • 17
    • 80053972937 scopus 로고    scopus 로고
    • Lyapunov exponential stability of 1D linear hyperbolic systems of balance laws
    • A. Diagne, G. Bastin, and J.M. Coron Lyapunov exponential stability of 1D linear hyperbolic systems of balance laws Automatica 48 1 2011 109 114
    • (2011) Automatica , vol.48 , Issue.1 , pp. 109-114
    • Diagne, A.1    Bastin, G.2    Coron, J.M.3
  • 18
    • 0024718611 scopus 로고
    • Distributed sliding mode control in systems described by quasilinear partial differential equations
    • DOI 10.1016/0167-6911(89)90036-4
    • H. Sira-Ramirez Distributed sliding mode control in systems described by quasilinear partial differential equations Systems Control Letters 13 2 1989 177 181 (Pubitemid 20721277)
    • (1989) Systems and Control Letters , vol.13 , Issue.2 , pp. 177-181
    • Sira-Ramirez Hebertt1
  • 19
    • 1942484895 scopus 로고    scopus 로고
    • Model predictive control for quasilinear hyperbolic distributed parameter systems
    • H. Shang, J.F. Forbes, and M. Guay Model predictive control for quasilinear hyperbolic distributed parameter systems Industrial and Engineering Chemistry Research 43 9 2004 2140 2149 (Pubitemid 38507182)
    • (2004) Industrial and Engineering Chemistry Research , vol.43 , Issue.9 , pp. 2140-2149
    • Shang, H.1    Forbes, J.F.2    Guay, M.3
  • 20
    • 0030287767 scopus 로고    scopus 로고
    • Feedback control of hyperbolic PDE systems
    • P.D. Christofides, and P. Daoutidis Feedback control of hyperbolic PDE systems AIChE Journal 42 11 1996 3063 3086
    • (1996) AIChE Journal , vol.42 , Issue.11 , pp. 3063-3086
    • Christofides, P.D.1    Daoutidis, P.2
  • 21
    • 79957997050 scopus 로고    scopus 로고
    • Distributed fuzzy control design of nonlinear hyperbolic PDE systems with application to nonisothermal plug-flow reactor
    • J.-W. Wang, H.-N. Wu, and H.-X. Li Distributed fuzzy control design of nonlinear hyperbolic PDE systems with application to nonisothermal plug-flow reactor IEEE Transactions on Fuzzy Systems 19 3 2011 514 526
    • (2011) IEEE Transactions on Fuzzy Systems , vol.19 , Issue.3 , pp. 514-526
    • Wang, J.-W.1    Wu, H.-N.2    Li, H.-X.3
  • 23
    • 84985748276 scopus 로고
    • An identification of hyperbolic distributed parameter systems using transient response
    • T. Okita, Y. Kobayashi, and S. Tanaka An identification of hyperbolic distributed parameter systems using transient response Electrical Engineering in Japan 101 3 1981 131 138
    • (1981) Electrical Engineering in Japan , vol.101 , Issue.3 , pp. 131-138
    • Okita, T.1    Kobayashi, Y.2    Tanaka, S.3
  • 24
    • 0035303251 scopus 로고    scopus 로고
    • Modeling, identification, and control of a class of nonlinear systems
    • H. Zhang, and Y. Quan Modeling, identification, and control of a class of nonlinear systems IEEE Transactions on Fuzzy Systems 9 2 2001 349 354
    • (2001) IEEE Transactions on Fuzzy Systems , vol.9 , Issue.2 , pp. 349-354
    • Zhang, H.1    Quan, Y.2
  • 27
    • 13244279592 scopus 로고    scopus 로고
    • Robust reinforcement learning
    • DOI 10.1162/0899766053011528
    • J. Morimoto, and K. Doya Robust reinforcement learning Neural Computation 17 2 2005 335 359 (Pubitemid 40194970)
    • (2005) Neural Computation , vol.17 , Issue.2 , pp. 335-359
    • Morimoto, J.1    Doya, K.2
  • 28
    • 70349116541 scopus 로고    scopus 로고
    • Reinforcement learning and adaptive dynamic programming for feedback control
    • F.L. Lewis, and D. Vrabie Reinforcement learning and adaptive dynamic programming for feedback control IEEE Circuits and Systems Magazine 9 3 2009 32 50
    • (2009) IEEE Circuits and Systems Magazine , vol.9 , Issue.3 , pp. 32-50
    • Lewis, F.L.1    Vrabie, D.2
  • 30
    • 0035273403 scopus 로고    scopus 로고
    • On-line learning control by association and reinforcement
    • DOI 10.1109/72.914523, PII S1045922701014047
    • J. Si, and Y. Wang Online learning control by association and reinforcement IEEE Transactions Neural Network 12 2 2001 264 276 (Pubitemid 32371483)
    • (2001) IEEE Transactions on Neural Networks , vol.12 , Issue.2 , pp. 264-276
    • Si, J.1    Wang, Y.-T.2
  • 31
    • 58349110975 scopus 로고    scopus 로고
    • Adaptive optimal control for continuous-time linear systems based on policy iteration
    • D. Vrabie, O. Pastravanu, M. Abu-Khalaf, and F.L. Lewis Adaptive optimal control for continuous-time linear systems based on policy iteration Automatica 45 2 2009 477 484
    • (2009) Automatica , vol.45 , Issue.2 , pp. 477-484
    • Vrabie, D.1    Pastravanu, O.2    Abu-Khalaf, M.3    Lewis, F.L.4
  • 32
    • 67349145396 scopus 로고    scopus 로고
    • Neural network approach to continuous-time direct adaptive optimal control for partially unknown nonlinear systems
    • D. Vrabie, and F.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
  • 33
    • 77950630017 scopus 로고    scopus 로고
    • Online actor-critic algorithm to solve the continuous-time infinite horizon optimal control problem
    • K.G. Vamvoudakis, and F.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
  • 35
    • 84914965022 scopus 로고
    • On an iterative technique for Riccati equation computations
    • D.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
  • 36
    • 14844340822 scopus 로고    scopus 로고
    • Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach
    • DOI 10.1016/j.automatica.2004.11.034, PII S0005109805000105
    • M. Abu-Khalaf, and F.L. Lewis Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach Automatica 41 5 2005 779 791 (Pubitemid 40352391)
    • (2005) Automatica , vol.41 , Issue.5 , pp. 779-791
    • Abu-Khalaf, M.1    Lewis, F.L.2
  • 38
    • 49049119493 scopus 로고    scopus 로고
    • A novel infinite-time optimal tracking control scheme for a class of discrete-time nonlinear systems via the greedy HDP iteration algorithm
    • H. Zhang, Q. Wei, and Y. Luo A novel infinite-time optimal tracking control scheme for a class of discrete-time nonlinear systems via the greedy HDP iteration algorithm IEEE Transactions on Systems, Man, and Cybernetics. Part B 38 4 2008 937 942
    • (2008) IEEE Transactions on Systems, Man, and Cybernetics. Part B , vol.38 , Issue.4 , pp. 937-942
    • Zhang, H.1    Wei, Q.2    Luo, Y.3
  • 39
    • 83655163786 scopus 로고    scopus 로고
    • Data-driven robust approximate optimal tracking control for unknown general nonlinear systems using adaptive dynamic programming method
    • H. Zhang, L. Cui, X. Zhang, and Y. Luo Data-driven robust approximate optimal tracking control for unknown general nonlinear systems using adaptive dynamic programming method IEEE Transactions Neural Network 22 2011 2226 2236 (12, part: 2)
    • (2011) IEEE Transactions Neural Network , vol.22 , Issue.12 PART 2 , pp. 2226-2236
    • Zhang, H.1    Cui, L.2    Zhang, X.3    Luo, Y.4
  • 40
    • 0037104863 scopus 로고    scopus 로고
    • Control of hot spots in plug flow reactors
    • DOI 10.1016/S0098-1354(02)00027-3, PII S0098135402000273
    • I. Karafyllis, and P. Daoutidis Control of hot spots in plug flow reactors Computers and Chemical Engineering 26 7-8 2002 1087 1094 (Pubitemid 36076782)
    • (2002) Computers and Chemical Engineering , vol.26 , Issue.7-8 , pp. 1087-1094
    • Karafyllis, I.1    Daoutidis, P.2
  • 41
    • 0034159386 scopus 로고    scopus 로고
    • Dynamical analysis of distributed parameter tubular reactors
    • DOI 10.1016/S0005-1098(99)00170-3
    • J.J. Winkin, D. Dochain, and P. Ligarius Dynamical analysis of distributed parameter tubular reactors Automatica 36 3 2000 349 361 (Pubitemid 30561637)
    • (2000) Automatica , vol.36 , Issue.3 , pp. 349-361
    • Winkin, J.J.1    Dochain, D.2    Ligarius, P.3
  • 45
    • 27844611444 scopus 로고    scopus 로고
    • Predictive control of transport-reaction processes
    • DOI 10.1016/j.compchemeng.2005.05.008, PII S0098135405001419
    • S. Dubljevic, P. Mhaskar, N.H. El-Farra, and P.D. Christofides Predictive control of transport-reaction processes Computers and Chemical Engineering 29 11-12 2005 2335 2345 (Pubitemid 41660481)
    • (2005) Computers and Chemical Engineering , vol.29 , Issue.SPEC. ISS. , pp. 2335-2345
    • Dubljevic, S.1    Mhaskar, P.2    El-Farra, N.H.3    Christofides, P.D.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.