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Volumn 20, Issue 1, 2011, Pages 91-103

Bounded robust control of nonlinear systems using neural network-based HJB solution

Author keywords

Bounded control; HJB equation; Lyapunov stability; Robust control; System uncertainty

Indexed keywords

CONTROL SYSTEM STABILITY; LEAST SQUARES APPROXIMATIONS; NEURAL NETWORKS; NONLINEAR EQUATIONS; NONLINEAR SYSTEMS; ROBUST CONTROL;

EID: 79251641699     PISSN: 09410643     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00521-010-0441-1     Document Type: Article
Times cited : (79)

References (17)
  • 1
    • 0011750464 scopus 로고
    • Robust control of nonlinear systems: compensating for uncertainty
    • Lin F, Brand RD, Sun J (1992) Robust control of nonlinear systems: compensating for uncertainty. Int J Contr 56(6): 1453-1459.
    • (1992) Int J Contr , vol.56 , Issue.6 , pp. 1453-1459
    • Lin, F.1    Brand, R.D.2    Sun, J.3
  • 2
    • 0034652079 scopus 로고    scopus 로고
    • An optimal control approach to robust control design
    • Lin F (2000) An optimal control approach to robust control design. Int J Contr 73(3): 177-186.
    • (2000) Int J Contr , vol.73 , Issue.3 , pp. 177-186
    • Lin, F.1
  • 3
    • 0031634055 scopus 로고    scopus 로고
    • Successive Galerkin approximations to the nonlinear optimal control of an underwater robotic vehicle
    • (Leuven, Belgium)
    • Mclian TW, Beard RW (1998) Successive Galerkin approximations to the nonlinear optimal control of an underwater robotic vehicle. In: Proceeding of the IEEE International Conference on Robotics and Automation, (Leuven, Belgium), pp 762-767.
    • (1998) Proceeding of the IEEE International Conference on Robotics and Automation , pp. 762-767
    • McLian, T.W.1    Beard, R.W.2
  • 4
    • 0031332446 scopus 로고    scopus 로고
    • Galerkin approximations of the generalized Hamilton-Jacobi-Bellman equation
    • Beard RW, Saridis GN, Wen JT (1997) Galerkin approximations of the generalized Hamilton-Jacobi-Bellman equation. Automatica 33(12): 2159-2177.
    • (1997) Automatica , vol.33 , Issue.12 , pp. 2159-2177
    • Beard, R.W.1    Saridis, G.N.2    Wen, J.T.3
  • 5
    • 34547095501 scopus 로고    scopus 로고
    • Least squares solutions of the HJB equation with neural network value-function approximators
    • Tassa Y, Erez T (2007) Least squares solutions of the HJB equation with neural network value-function approximators. IEEE Trans Neural Netw 18(4): 1031-1040.
    • (2007) IEEE Trans Neural Netw , vol.18 , Issue.4 , pp. 1031-1040
    • Tassa, Y.1    Erez, T.2
  • 6
    • 84881324637 scopus 로고    scopus 로고
    • Optimal control of nonlinear continuous-time systems: design of bounded controllers via generalized nonquadratic functionals
    • Philadelphia, Pennsylvania
    • Lyshevski SE (1998) Optimal control of nonlinear continuous-time systems: design of bounded controllers via generalized nonquadratic functionals. In: Proceeding of the American Control Conference, Philadelphia, Pennsylvania, pp 205-209.
    • (1998) Proceeding of the American Control Conference , pp. 205-209
    • Lyshevski, S.E.1
  • 8
    • 14844340822 scopus 로고    scopus 로고
    • Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach
    • Abu-Khalaf M, Lewis FL (2005) Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach. Automatica 41: 779-791.
    • (2005) Automatica , vol.41 , pp. 779-791
    • Abu-Khalaf, M.1    Lewis, F.L.2
  • 9
    • 0024014297 scopus 로고
    • Design of robust controllers for uncertain dynamical systems
    • Chen YH (1988) Design of robust controllers for uncertain dynamical systems. IEEE Trans Autom Contr 33(5): 487-491.
    • (1988) IEEE Trans Autom Contr , vol.33 , Issue.5 , pp. 487-491
    • Chen, Y.H.1
  • 10
    • 0020718015 scopus 로고
    • A new class of stabilizing controllers for uncertain dynamical systems
    • Barmish BR, Corless M, Leitmann G (1983) A new class of stabilizing controllers for uncertain dynamical systems. SIAM J Contr Optim 21(2): 246-255.
    • (1983) SIAM J Contr Optim , vol.21 , Issue.2 , pp. 246-255
    • Barmish, B.R.1    Corless, M.2    Leitmann, G.3
  • 11
    • 0022111023 scopus 로고
    • Necessary and sufficient conditions for quadratic stabilizability of an uncertain system
    • Barmish BR (1985) Necessary and sufficient conditions for quadratic stabilizability of an uncertain system. J Optim Theory Appl 46(4): 399-408.
    • (1985) J Optim Theory Appl , vol.46 , Issue.4 , pp. 399-408
    • Barmish, B.R.1
  • 12
    • 0029358140 scopus 로고
    • Robust control of nonlinear uncertain systems without generalized matching conditions
    • Qu Z (1995) Robust control of nonlinear uncertain systems without generalized matching conditions. IEEE Trans Autom Contr 40(8): 1453-1460.
    • (1995) IEEE Trans Autom Contr , vol.40 , Issue.8 , pp. 1453-1460
    • Qu, Z.1
  • 13
    • 0004160953 scopus 로고
    • 2nd edn., New Delhi: New Age International Publishers
    • Gopal M (1993) Modern control system theory, 2nd edn. New Age International Publishers, New Delhi.
    • (1993) Modern Control System Theory
    • Gopal, M.1
  • 15
    • 33846781133 scopus 로고    scopus 로고
    • A neural network solution for fixed final time optimal control of nonlinear systems
    • Cheng T, Lewis FL, Abu-Khalaf M (2007) A neural network solution for fixed final time optimal control of nonlinear systems. Automatica 43: 482-490.
    • (2007) Automatica , vol.43 , pp. 482-490
    • Cheng, T.1    Lewis, F.L.2    Abu-Khalaf, M.3
  • 16
    • 36348986773 scopus 로고    scopus 로고
    • Fixed-final time constrained optimal control of nonlinear systems using neural network HJB approach
    • Cheng T, Lewis FL, Abu-Khalaf M (2007) Fixed-final time constrained optimal control of nonlinear systems using neural network HJB approach. IEEE Trans Neural Netw 18(6): 1725-1737.
    • (2007) IEEE Trans Neural Netw , vol.18 , Issue.6 , pp. 1725-1737
    • Cheng, T.1    Lewis, F.L.2    Abu-Khalaf, M.3
  • 17
    • 0032002515 scopus 로고    scopus 로고
    • An optimal control approach to robust control of robot manipulators
    • Lin Feng, Brandt RD (1998) An optimal control approach to robust control of robot manipulators. IEEE Trans Robot Autom 14(1): 69-77.
    • (1998) IEEE Trans Robot Autom , vol.14 , Issue.1 , pp. 69-77
    • Lin, F.1    Brandt, R.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.