메뉴 건너뛰기




Volumn 20, Issue 1, 2014, Pages 38-44

Robust inverse optimal control for discrete-time nonlinear system stabilization

Author keywords

Control Lyapunov function; Discrete time disturbed nonlinear systems; Hamilton Jacobi Bellman equation; Inverse optimal control; Stabilization of discrete time nonlinear systems

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; DYNAMIC PROGRAMMING; LYAPUNOV FUNCTIONS; LYAPUNOV METHODS; NONLINEAR EQUATIONS; NONLINEAR SYSTEMS;

EID: 84892368351     PISSN: 09473580     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejcon.2013.08.001     Document Type: Article
Times cited : (24)

References (43)
  • 5
    • 0019289549 scopus 로고
    • On the general inverse problem of optimal control theory
    • J. Casti On the general inverse problem of optimal control theory Journal of Optimization Theory and Applications 32 4 1980 491 497
    • (1980) Journal of Optimization Theory and Applications , vol.32 , Issue.4 , pp. 491-497
    • Casti, J.1
  • 6
    • 0035417611 scopus 로고    scopus 로고
    • Stabilization of stochastic nonlinear systems driven by noise of unknown covariance
    • H. Deng, M. Krstić, and R.J. Williams Stabilization of stochastic nonlinear systems driven by noise of unknown covariance IEEE Transactions on Automatic Control 46 8 2001 1237 1253
    • (2001) IEEE Transactions on Automatic Control , vol.46 , Issue.8 , pp. 1237-1253
    • Deng, H.1    Krstić, M.2    Williams, R.J.3
  • 7
    • 84883542274 scopus 로고    scopus 로고
    • Inverse optimal control for discrete-time stochastic nonlinear systems stabilization
    • Washington, DC, USA
    • S. Elvira-Ceja, E.N. Sanchez, Inverse optimal control for discrete-time stochastic nonlinear systems stabilization, in: Proceedings of the 2013 American Control Conference (ACC), Washington, DC, USA, 2013, pp. 4689-4693.
    • (2013) Proceedings of the 2013 American Control Conference (ACC) , pp. 4689-4693
    • Elvira-Ceja, S.1    Sanchez, E.N.2
  • 10
    • 0035370502 scopus 로고    scopus 로고
    • Input-to-state stability for discrete-time nonlinear systems
    • Z.-P. Jiang, E.D. Sontag, and Y. Wang Input-to-state stability for discrete-time nonlinear systems Automatica 37 1999 857 869
    • (1999) Automatica , vol.37 , pp. 857-869
    • Jiang, Z.-P.1    Sontag, E.D.2    Wang, Y.3
  • 12
    • 33748581623 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for robust global asymptotic stabilization of discrete time systems
    • I. Karafyllis, and S. Kotsios Necessary and sufficient conditions for robust global asymptotic stabilization of discrete time systems Journal of Difference Equations and Applications 12 7 2006 741 768
    • (2006) Journal of Difference Equations and Applications , vol.12 , Issue.7 , pp. 741-768
    • Karafyllis, I.1    Kotsios, S.2
  • 14
    • 0004178386 scopus 로고    scopus 로고
    • Prentice Hall Englewood Cliffs, NJ, USA
    • H.K. Khalil Nonlinear Systems 1996 Prentice Hall Englewood Cliffs, NJ, USA
    • (1996) Nonlinear Systems
    • Khalil, H.K.1
  • 16
    • 33644808300 scopus 로고
    • Some topological dynamics properties of discrete time control systems
    • S. Kotsios Some topological dynamics properties of discrete time control systems IMA Journal of Mathematical Control and Information 10 1993 149 155
    • (1993) IMA Journal of Mathematical Control and Information , vol.10 , pp. 149-155
    • Kotsios, S.1
  • 17
    • 0003597844 scopus 로고
    • Inversion Method in the Discrete-Time Nonlinear Control Systems Synthesis Problems
    • Springer-Verlag Berlin, Germany
    • Ü. Kotta Inversion Method in the Discrete-Time Nonlinear Control Systems Synthesis Problems Lecture Notes in Control and Information Sciences 1995 Springer-Verlag Berlin, Germany
    • (1995) Lecture Notes in Control and Information Sciences
    • Kotta, Ü.1
  • 19
    • 0032026987 scopus 로고    scopus 로고
    • Inverse optimal design of input-to-state stabilizing nonlinear controllers
    • M. Krstić, and Z.-H. Li Inverse optimal design of input-to-state stabilizing nonlinear controllers IEEE Transactions on Automatic Control 43 3 1998 336 350
    • (1998) IEEE Transactions on Automatic Control , vol.43 , Issue.3 , pp. 336-350
    • Krstić, M.1    Li, Z.-H.2
  • 21
    • 65249158437 scopus 로고    scopus 로고
    • Inverse optimal noise-to-state stabilization of stochastic recurrent neural networks driven by noise of unknown covariance
    • Z. Liu, Q. Wang, and H. Schurz Inverse optimal noise-to-state stabilization of stochastic recurrent neural networks driven by noise of unknown covariance Optimal Control Applications and Methods 30 2 2009 163 178
    • (2009) Optimal Control Applications and Methods , vol.30 , Issue.2 , pp. 163-178
    • Liu, Z.1    Wang, Q.2    Schurz, H.3
  • 22
    • 0141533355 scopus 로고
    • Euler's discretization revisited
    • Y. Maeda, Euler's discretization revisited, in: Proceedings of the Japan Academy, vol. 71, 1995, pp. 58-61.
    • (1995) Proceedings of the Japan Academy , vol.71 , pp. 58-61
    • Maeda, Y.1
  • 23
    • 0000936020 scopus 로고    scopus 로고
    • Stability margins of nonlinear receding horizon control via inverse optimality
    • L. Magni, and R. Sepulchre Stability margins of nonlinear receding horizon control via inverse optimality Systems & Control Letters 32 4 1997 241 245
    • (1997) Systems & Control Letters , vol.32 , Issue.4 , pp. 241-245
    • Magni, L.1    Sepulchre, R.2
  • 25
  • 27
    • 0015670958 scopus 로고
    • Nonlinear regulator theory and an inverse optimal control problem
    • P.J. Moylan, and B.D.O. Anderson Nonlinear regulator theory and an inverse optimal control problem IEEE Transactions on Automatic Control 18 5 1973 460 465
    • (1973) IEEE Transactions on Automatic Control , vol.18 , Issue.5 , pp. 460-465
    • Moylan, P.J.1    Anderson, B.D.O.2
  • 28
    • 34249012415 scopus 로고    scopus 로고
    • Local feedback passivation of nonlinear discrete-time systems through the speed-gradient algorithm
    • E.M. Navarro-López Local feedback passivation of nonlinear discrete-time systems through the speed-gradient algorithm Automatica 43 7 2007 1302 1306
    • (2007) Automatica , vol.43 , Issue.7 , pp. 1302-1306
    • Navarro-López, E.M.1
  • 29
    • 0000676927 scopus 로고    scopus 로고
    • Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations
    • D. Nesic, A.R. Teel, and E.D. Sontag Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations Systems & Control Letters 38 4-5 1999 259 270
    • (1999) Systems & Control Letters , vol.38 , Issue.45 , pp. 259-270
    • Nesic, D.1    Teel, A.R.2    Sontag, E.D.3
  • 33
    • 84870776222 scopus 로고    scopus 로고
    • Discrete-time inverse optimal control for block control form nonlinear systems
    • Puerto Vallarta, Mexico
    • F. Ornelas-Tellez, E.N. Sanchez, A.G. Loukianov, Discrete-time inverse optimal control for block control form nonlinear systems, in: World Automation Congress (WAC), Puerto Vallarta, Mexico, 2012, pp. 1-6.
    • (2012) World Automation Congress (WAC) , pp. 1-6
    • Ornelas-Tellez, F.1    Sanchez, E.N.2    Loukianov, A.G.3
  • 37
    • 0003071448 scopus 로고    scopus 로고
    • Nonlinear optimal control a control Lyapunov function and receding horizon perspective
    • J.A. Primbs, V. Nevistic, and J.C. Doyle Nonlinear optimal control a control Lyapunov function and receding horizon perspective Asian Journal of Control 1 1999 14 24
    • (1999) Asian Journal of Control , vol.1 , pp. 14-24
    • Primbs, J.A.1    Nevistic, V.2    Doyle, J.C.3
  • 38
    • 84890096946 scopus 로고    scopus 로고
    • Particle swarm optimization for discrete-time inverse optimal control of a doubly fed induction generator
    • doi:10.1109/TSMCB.2012.2228188
    • R. Ruiz-Cruz, E.N. Sanchez, F. Ornelas-Tellez, A.G. Loukianov, R.G. Harley, Particle swarm optimization for discrete-time inverse optimal control of a doubly fed induction generator, IEEE Transactions on Cybernetics, 2013, http://dx.doi.org/10.1109/TSMCB.2012.2228188.
    • (2013) IEEE Transactions on Cybernetics
    • Ruiz-Cruz, R.1    Sanchez, E.N.2    Ornelas-Tellez, F.3    Loukianov, A.G.4    Harley, R.G.5
  • 43
    • 85024326661 scopus 로고
    • Inverse optimal control problem for linear discrete-time systems
    • J.L. Willems, and H. Van De Voorde Inverse optimal control problem for linear discrete-time systems Electronics Letters 13 1977 493
    • (1977) Electronics Letters , vol.13 , pp. 493
    • Willems, J.L.1    Van De Voorde, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.