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Volumn 11, Issue 2, 2014, Pages 627-632

Policy iteration algorithm for online design of robust control for a class of continuous-time nonlinear systems

Author keywords

Adaptive dynamic programming; neural networks; optimal control; policy iteration; robust control; uncertain nonlinear systems

Indexed keywords

ALGORITHMS; CONTINUOUS TIME SYSTEMS; CONTROL; ITERATIVE METHODS; NEURAL NETWORKS; NONLINEAR SYSTEMS; OPTIMAL CONTROL SYSTEMS;

EID: 84898803345     PISSN: 15455955     EISSN: None     Source Type: Journal    
DOI: 10.1109/TASE.2013.2296206     Document Type: Article
Times cited : (210)

References (28)
  • 1
    • 0025481128 scopus 로고
    • Robust stability of a class of polynomialswith coefficients depending multilinearly on perturbations
    • Sep.
    • B. R. Barmish and Z. Shi, "Robust stability of a class of polynomialswith coefficients depending multilinearly on perturbations," IEEETrans. Automat. Control, vol. 35, no. 9, pp. 1040-1043, Sep. 1990.
    • (1990) IEEETrans. Automat. Control , vol.35 , Issue.9 , pp. 1040-1043
    • Barmish, B.R.1    Shi, Z.2
  • 2
    • 0024124887 scopus 로고
    • A Lyapunov approach for robust nonlinearstate feedback synthesis
    • Dec.
    • C. Kravaris and S. Palanki, "A Lyapunov approach for robust nonlinearstate feedback synthesis," IEEE Trans. Automat. Control, vol. 33, no.12, pp. 1188-1191, Dec. 1988.
    • (1988) IEEE Trans. Automat. Control , vol.33 , Issue.12 , pp. 1188-1191
    • Kravaris, C.1    Palanki, S.2
  • 3
    • 0011750464 scopus 로고
    • Robust control of nonlinear systems:Compensating for uncertainty
    • F. Lin, R. D. Brand, and J. Sun, "Robust control of nonlinear systems:Compensating for uncertainty," Int. J. Control, vol. 56, no. 6,pp. 1453-1459, 1992.
    • (1992) Int. J. Control , vol.56 , Issue.6 , pp. 1453-1459
    • Lin, F.1    Brand, R.D.2    Sun, J.3
  • 4
    • 0002031779 scopus 로고
    • Approximate dynamic programming for real-time controland neural modeling
    • D. A.White andD. A. Sofge, Eds. NewYork, NY, USA: Van Nostrand Reinhold ch. 13
    • P. J. Werbos, "Approximate dynamic programming for real-time controland neural modeling," in Handbook of Intelligent Control: Neural,Fuzzy, Adaptive Approaches, D. A.White andD. A. Sofge, Eds. NewYork, NY, USA: Van Nostrand Reinhold, 1992, ch. 13.
    • (1992) Handbook of Intelligent Control: Neural,Fuzzy, Adaptive Approaches
    • Werbos, P.J.1
  • 5
    • 67349247013 scopus 로고    scopus 로고
    • Intelligence in the brain: A theory of how it works andhow to build it
    • Apr.
    • P. J. Werbos, "Intelligence in the brain: A theory of how it works andhow to build it," Neural Netw., vol. 22, no. 3, pp. 200-212, Apr. 2009.
    • (2009) Neural Netw. , vol.22 , Issue.3 , pp. 200-212
    • Werbos, P.J.1
  • 7
    • 0031236002 scopus 로고    scopus 로고
    • Adaptive critic designs
    • Sep.
    • D. V. Prokhorov and D. C. Wunsch, "Adaptive critic designs," IEEETrans. Neural Netw., vol. 8, no. 5, pp. 997-1007, Sep. 1997.
    • (1997) IEEETrans. Neural Netw. , vol.8 , Issue.5 , pp. 997-1007
    • Prokhorov, D.V.1    Wunsch, D.C.2
  • 8
    • 84876138680 scopus 로고    scopus 로고
    • Swarm intelligence approachesto optimal power flow problem with distributed generator failures inpower networks
    • Apr.
    • Q. Kang, M. Zhou, J. An, and Q.Wu, "Swarm intelligence approachesto optimal power flow problem with distributed generator failures inpower networks," IEEE Trans. Autom. Sci. Eng., vol. 10, no. 2, pp.343-353, Apr. 2013.
    • (2013) IEEE Trans. Autom. Sci. Eng. , vol.10 , Issue.2 , pp. 343-353
    • Kang, Q.1    Zhou, M.2    An, J.3    Wu, Q.4
  • 9
    • 82655173881 scopus 로고    scopus 로고
    • A three-network architecture for on-linelearning and optimization based on adaptive dynamic programming
    • Feb.
    • H. He, Z. Ni, and J. Fu, "A three-network architecture for on-linelearning and optimization based on adaptive dynamic programming, "Neurocomputing, vol. 78, no. 1, pp. 3-13, Feb. 2012.
    • (2012) Neurocomputing , vol.78 , Issue.1 , pp. 3-13
    • He, H.1    Ni, Z.2    Fu, J.3
  • 10
    • 79960115021 scopus 로고    scopus 로고
    • Adaptive learning and control for MIMOsystem based on adaptive dynamic programming
    • Jul.
    • J. Fu, H. He, and X. Zhou, "Adaptive learning and control for MIMOsystem based on adaptive dynamic programming," IEEE Trans. NeuralNetw., vol. 22, no. 7, pp. 1133-1148, Jul. 2011.
    • (2011) IEEE Trans. NeuralNetw. , vol.22 , Issue.7 , pp. 1133-1148
    • Fu, J.1    He, H.2    Zhou, X.3
  • 11
    • 84876909440 scopus 로고    scopus 로고
    • Neural network based online simultaneouspolicy update algorithm for solving the HJI equation in nonlinearcontrol
    • Dec.
    • H. N. Wu and B. Luo, "Neural network based online simultaneouspolicy update algorithm for solving the HJI equation in nonlinearcontrol," IEEE Trans. Neural Netw. Learn. Syst., vol. 23, no. 12, pp.1884-1895, Dec. 2012.
    • (2012) IEEE Trans. Neural Netw. Learn. Syst. , vol.23 , Issue.12 , pp. 1884-1895
    • Wu, H.N.1    Luo, B.2
  • 12
    • 84885835001 scopus 로고    scopus 로고
    • Near-optimal control for nonzero-sumdifferential games of continuous-time nonlinear systems using singlenetworkADP
    • Feb.
    • H. Zhang, L. Cui, and Y. Luo, "Near-optimal control for nonzero-sumdifferential games of continuous-time nonlinear systems using singlenetworkADP," IEEE Trans. Cybern., vol. 43, no. 1, pp. 206-216, Feb.2013.
    • (2013) IEEE Trans. Cybern. , vol.43 , Issue.1 , pp. 206-216
    • Zhang, H.1    Cui, L.2    Luo, Y.3
  • 13
    • 70349116541 scopus 로고    scopus 로고
    • Reinforcement learning and adaptive dynamicprogramming for feedback control
    • Jul.
    • F. L. Lewis and D. Vrabie, "Reinforcement learning and adaptive dynamicprogramming for feedback control," IEEE Circuits Syst. Mag.,vol. 9, no. 3, pp. 32-50, Jul. 2009.
    • (2009) IEEE Circuits Syst. Mag. , vol.9 , Issue.3 , pp. 32-50
    • Lewis, F.L.1    Vrabie, D.2
  • 14
    • 80053632509 scopus 로고    scopus 로고
    • Optimization of train regulation and energyusage of metro lines using an adaptive-optimal-control algorithm
    • Oct.
    • W. S. Lin and J.W. Sheu, "Optimization of train regulation and energyusage of metro lines using an adaptive-optimal-control algorithm,"IEEE Trans. Autom. Sci. Eng., vol. 8, no. 4, pp. 855-864, Oct. 2011.
    • (2011) IEEE Trans. Autom. Sci. Eng. , vol.8 , Issue.4 , pp. 855-864
    • Lin, W.S.1    Sheu, J.W.2
  • 15
    • 84875270081 scopus 로고    scopus 로고
    • Online optimal control of affine nonlineardiscrete-time systems with unknown internal dynamics by usingtime-based policy update
    • Jul.
    • T. Dierks and S. Jagannathan, "Online optimal control of affine nonlineardiscrete-time systems with unknown internal dynamics by usingtime-based policy update," IEEE Trans. Neural Netw. Learn. Syst., vol.23, no. 7, pp. 1118-1129, Jul. 2012.
    • (2012) IEEE Trans. Neural Netw. Learn. Syst. , vol.23 , Issue.7 , pp. 1118-1129
    • Dierks, T.1    Jagannathan, S.2
  • 16
    • 82755160758 scopus 로고    scopus 로고
    • Finite-horizon neuro-optimal trackingcontrol for a class of discrete-time nonlinear systems using adaptivedynamic programming approach
    • Feb.
    • D. Wang, D. Liu, and Q. Wei, "Finite-horizon neuro-optimal trackingcontrol for a class of discrete-time nonlinear systems using adaptivedynamic programming approach," Neurocomputing, vol. 78, no. 1, pp.14-22, Feb. 2012.
    • (2012) Neurocomputing , vol.78 , Issue.1 , pp. 14-22
    • Wang, D.1    Liu, D.2    Wei, Q.3
  • 17
    • 84863467146 scopus 로고    scopus 로고
    • Neural-network-basedoptimal control for a class of unknown discrete-time nonlinear systemsusing globalized dual heuristic programming
    • Jul.
    • D. Liu, D.Wang, D. Zhao, Q.Wei, and N. Jin, "Neural-network- basedoptimal control for a class of unknown discrete-time nonlinear systemsusing globalized dual heuristic programming," IEEE Trans. Autom. Sci.Eng., vol. 9, no. 3, pp. 628-634, Jul. 2012.
    • (2012) IEEE Trans. Autom. Sci.Eng. , vol.9 , Issue.3 , pp. 628-634
    • Liu, D.1    Wang, D.2    Zhao, D.3    Wei, Q.4    Jin, N.5
  • 18
    • 84864489666 scopus 로고    scopus 로고
    • Optimal control ofunknown nonaffine nonlinear discrete-time systems based on adaptivedynamic programming
    • Aug.
    • D. Wang, D. Liu, Q. Wei, D. Zhao, and N. Jin, "Optimal control ofunknown nonaffine nonlinear discrete-time systems based on adaptivedynamic programming," Automatica, vol. 48, no. 8, pp. 1825-1832,Aug. 2012.
    • (2012) Automatica , vol.48 , Issue.8 , pp. 1825-1832
    • Wang, D.1    Liu, D.2    Wei, Q.3    Zhao, D.4    Jin, N.5
  • 19
    • 84884157580 scopus 로고    scopus 로고
    • Neuro-optimal control for a class of unknownnonlinear dynamic systems using SN-DHP technique
    • Dec.
    • D. Wang and D. Liu, "Neuro-optimal control for a class of unknownnonlinear dynamic systems using SN-DHP technique," Neurocomputing,vol. 121, pp. 218-225, Dec. 2013.
    • (2013) Neurocomputing , vol.121 , pp. 218-225
    • Wang, D.1    Liu, D.2
  • 20
    • 84859774473 scopus 로고    scopus 로고
    • Real-time adaptive control of a flexiblemanipulator using reinforcement learning
    • Apr.
    • S. K. Pradhan and B. Subudhi, "Real-time adaptive control of a flexiblemanipulator using reinforcement learning," IEEE Trans. Autom. Sci.Eng., vol. 9, no. 2, pp. 237-249, Apr. 2012.
    • (2012) IEEE Trans. Autom. Sci.Eng. , vol.9 , Issue.2 , pp. 237-249
    • Pradhan, S.K.1    Subudhi, B.2
  • 22
    • 14844340822 scopus 로고    scopus 로고
    • Nearly optimal control laws for nonlinearsystems with saturating actuators using a neural network HJBapproach
    • May
    • M. Abu-Khalaf and F. L. Lewis, "Nearly optimal control laws for nonlinearsystems with saturating actuators using a neural network HJBapproach," Automatica, vol. 41, no. 5, pp. 779-791, May 2005.
    • (2005) Automatica , vol.41 , Issue.5 , pp. 779-791
    • Abu-Khalaf, M.1    Lewis, F.L.2
  • 23
    • 77950630017 scopus 로고    scopus 로고
    • Online actor-critic algorithm tosolve the continuous-time infinite horizon optimal control problem
    • May
    • K. G. Vamvoudakis and F. L. Lewis, "Online actor-critic algorithm tosolve the continuous-time infinite horizon optimal control problem,"Automatica, vol. 46, no. 5, pp. 878-888, May 2010.
    • (2010) Automatica , vol.46 , Issue.5 , pp. 878-888
    • Vamvoudakis, K.G.1    Lewis, F.L.2
  • 24
    • 79953151751 scopus 로고    scopus 로고
    • A model-free robust policyiteration algorithm for optimal control of nonlinear systems
    • Atlanta, GA, USA, Dec.
    • S. Bhasin, M. Johnson, and W. E. Dixon, "A model-free robust policyiteration algorithm for optimal control of nonlinear systems," in Proc.49th IEEE Conf. Decision Control, Atlanta, GA, USA, Dec. 2010, pp.3060-3065.
    • (2010) Proc.49th IEEE Conf. Decision Control , pp. 3060-3065
    • Bhasin, S.1    Johnson, M.2    Dixon, W.E.3
  • 25
    • 84885176157 scopus 로고    scopus 로고
    • Adaptive optimalcontrol of unknown constrained-input systems using policy iterationand neural networks
    • Oct.
    • H. Modares, F. L. Lewis, and M.-B. Naghibi-Sistani, "Adaptive optimalcontrol of unknown constrained-input systems using policy iterationand neural networks," IEEE Trans. Neural Netw. Learn. Syst.,vol. 24, no. 10, pp. 1513-1525, Oct. 2013.
    • (2013) IEEE Trans. Neural Netw. Learn. Syst. , vol.24 , Issue.10 , pp. 1513-1525
    • Modares, H.1    Lewis, F.L.2    Naghibi-Sistani, M.-B.3
  • 26
    • 79251641699 scopus 로고    scopus 로고
    • Bounded robust control ofnonlinear systems using neural network-based HJB solution
    • D. M. Adhyaru, I. N. Kar, and M. Gopal, "Bounded robust control ofnonlinear systems using neural network-based HJB solution," NeuralComput. Appl., vol. 20, no. 1, pp. 91-103, 2011.
    • (2011) NeuralComput. Appl. , vol.20 , Issue.1 , pp. 91-103
    • Adhyaru, D.M.1    Kar, I.N.2    Gopal, M.3
  • 28
    • 62949149213 scopus 로고    scopus 로고
    • Constrained nonlinear optimal control:A converse HJB approach
    • Pasadena, CA,USA, Tech. Memo. No. CIT-CDS 96-021, Dec.
    • V. Nevistic and J. A. Primbs, "Constrained nonlinear optimal control:A converse HJB approach," California Inst. Techn., Pasadena, CA,USA, Tech. Memo. No. CIT-CDS 96-021, Dec. 1996.
    • (1996) California Inst. Techn.
    • Nevistic, V.1    Primbs, J.A.2


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