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Volumn 36, Issue 3, 2005, Pages 153-161

Successive approximation approach of optimal control for nonlinear discrete-time systems

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; COMPUTER SIMULATION; CONTROL EQUIPMENT; FINITE ELEMENT METHOD; ITERATIVE METHODS; STRUCTURAL DESIGN; VECTORS;

EID: 27944502462     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207720512331338076     Document Type: Article
Times cited : (68)

References (23)
  • 1
    • 0028498817 scopus 로고
    • The successive approximation procedure for finite-time optimal control of bilinear systems
    • Z. Aganovic and Z. Gajic, 'The successive approximation procedure for finite-time optimal control of bilinear systems', IEEE Transaction on Automatic Control, 1994, 29, pp. 1932-1935.
    • (1994) IEEE Transaction on Automatic Control , vol.29 , pp. 1932-1935
    • Aganovic, Z.1    Gajic, Z.2
  • 3
    • 0035421617 scopus 로고    scopus 로고
    • Exact boundary controllability and optimal control for a generalised Korteweg de Vries equation
    • S.P. Banks, 'Exact boundary controllability and optimal control for a generalised Korteweg de Vries equation', Nonlinear Analysis, 2001, 47, pp. 5537-5546.
    • (2001) Nonlinear Analysis , vol.47 , pp. 5537-5546
    • Banks, S.P.1
  • 4
    • 0031332446 scopus 로고    scopus 로고
    • Galerkin Approximation of the generalized Hamilton-Jacobi-Bellman equation
    • R.W. Beard, G.N. Saridis and J.T. Wen, 'Galerkin Approximation of the generalized Hamilton-Jacobi-Bellman equation', Automatica, 1997, 33, pp. 2159-2177.
    • (1997) Automatica , vol.33 , pp. 2159-2177
    • Beard, R.W.1    Saridis, G.N.2    Wen, J.T.3
  • 5
    • 0029735507 scopus 로고    scopus 로고
    • Dynamic integrated systems optimization and parameter estimation for discrete time optimal control of nonlinear systems
    • V.M. Becerra and P.D. Roberts, 'Dynamic integrated systems optimization and parameter estimation for discrete time optimal control of nonlinear systems', International Journal of Control, 1996, 63, pp. 257-281.
    • (1996) International Journal of Control , vol.63 , pp. 257-281
    • Becerra, V.M.1    Roberts, P.D.2
  • 6
    • 0031995398 scopus 로고    scopus 로고
    • Optimal control of nonlinear systems a recursive approach
    • B. Chanane, 'Optimal control of nonlinear systems a recursive approach', Computers and Mathematics with Applications, 1998, 35, pp. 29-33.
    • (1998) Computers and Mathematics with Applications , vol.35 , pp. 29-33
    • Chanane, B.1
  • 8
    • 0017537095 scopus 로고
    • Design of nonlinear automatic flight control systems
    • W.L. Garrard and J.M. Jordan, 'Design of nonlinear automatic flight control systems', Automatica, 1977, 13, pp. 497-505.
    • (1977) Automatica , vol.13 , pp. 497-505
    • Garrard, W.L.1    Jordan, J.M.2
  • 9
    • 0027594098 scopus 로고
    • On the nonlinear optimal regulator problem
    • C.J. Goh, 'On the nonlinear optimal regulator problem', Automatica, 1993, 29, pp. 751-756.
    • (1993) Automatica , vol.29 , pp. 751-756
    • Goh, C.J.1
  • 10
    • 0034172421 scopus 로고    scopus 로고
    • Solving Hamilton-Jacobi-Bellman equations by a modified method of characteristics
    • C.-S. Huang, S. Wang, and K.L. Teo, 'Solving Hamilton-Jacobi-Bellman equations by a modified method of characteristics', Nonlinear Analysis, 2000, 40, pp. 279-293.
    • (2000) Nonlinear Analysis , vol.40 , pp. 279-293
    • Huang, C.-S.1    Wang, S.2    Teo, K.L.3
  • 13
    • 0034458207 scopus 로고    scopus 로고
    • An iterative algorithm for solving Hamilton-Hacobi type equations
    • J. Markman and I.N. Katz, 'An iterative algorithm for solving Hamilton-Hacobi type equations', SIAM Journal on Scientific Computing, 2000, 22, pp. 312-329.
    • (2000) SIAM Journal on Scientific Computing , vol.22 , pp. 312-329
    • Markman, J.1    Katz, I.N.2
  • 14
    • 0015160843 scopus 로고
    • A method for sub-optimal design of nonlinear feedback systems
    • Y. Nishikawa, N. Sannomiya and H. Itakura, 'A method for sub-optimal design of nonlinear feedback systems', Automatica, 1971, 7, pp. 703-712.
    • (1971) Automatica , vol.7 , pp. 703-712
    • Nishikawa, Y.1    Sannomiya, N.2    Itakura, H.3
  • 15
    • 0032202335 scopus 로고    scopus 로고
    • Successive Galerkin approximation algorithms for nonlinear optimal and robust control
    • W.B. Randal and W.M. Timothy, 'Successive Galerkin approximation algorithms for nonlinear optimal and robust control', International Journal of Control, 1998, 71, pp. 717-743.
    • (1998) International Journal of Control , vol.71 , pp. 717-743
    • Randal, W.B.1    Timothy, W.M.2
  • 18
    • 0018441647 scopus 로고
    • An approximation theory of optimal control for trainable manipulators
    • G.N. Saridis and C.S.G. Lee, 'An approximation theory of optimal control for trainable manipulators', IEEE Transaction on System, Man Cybernetics, 1979, 9, pp. 152-159.
    • (1979) IEEE Transaction on System, Man Cybernetics , vol.9 , pp. 152-159
    • Saridis, G.N.1    Lee, C.S.G.2
  • 19
    • 15844400529 scopus 로고    scopus 로고
    • Suboptimal control for nonlinear systems: A successive approximation approach
    • to appear
    • G.-Y. Tang, 'Suboptimal control for nonlinear systems: a successive approximation approach', Systems and Control Letters (to appear in 2005).
    • (2005) Systems and Control Letters
    • Tang, G.-Y.1
  • 20
    • 4744344673 scopus 로고    scopus 로고
    • Sensitivity approach of suboptimal control for a class of nonlinear systems
    • in Chinese
    • G.-Y. Tang, H.-P. Qu, and Y.-M. Gao, 'Sensitivity approach of suboptimal control for a class of nonlinear systems', Journal of Ocean University of Qingdao, 2002, 32, pp. 615-620 (in Chinese).
    • (2002) Journal of Ocean University of Qingdao , vol.32 , pp. 615-620
    • Tang, G.-Y.1    Qu, H.-P.2    Gao, Y.-M.3
  • 21
    • 0033719001 scopus 로고    scopus 로고
    • An upwind finite-difference method for the approximation of viscosity solutions to Hamilton-Jacobi-Bellman equations
    • S. Wang, F. Gao and K.L. Teo, 'An upwind finite-difference method for the approximation of viscosity solutions to Hamilton-Jacobi-Bellman equations', IMA Journal of Mathematical Control and Information, 2000, 17, pp. 167-178.
    • (2000) IMA Journal of Mathematical Control and Information , vol.17 , pp. 167-178
    • Wang, S.1    Gao, F.2    Teo, K.L.3
  • 23
    • 0028498817 scopus 로고
    • The successive approximation procedure for finite-time optimal control of bilinear systems
    • Z. Aganovic and Z. Gajic, 'The successive approximation procedure for finite-time optimal control of bilinear systems', IEEE Transactions on Automatic Control, 1994, AC-39, pp. 1932-1935.
    • (1994) IEEE Transactions on Automatic Control , vol.AC-39 , pp. 1932-1935
    • Aganovic, Z.1    Gajic, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.