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Volumn 71, Issue 5, 1998, Pages 717-743

Successive Galerkin approximation algorithms for nonlinear optimal and robust control

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CONTROL SYSTEM ANALYSIS; GALERKIN METHODS; NONLINEAR CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS);

EID: 0032202335     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/002071798221542     Document Type: Article
Times cited : (199)

References (53)
  • 5
    • 0030268855 scopus 로고    scopus 로고
    • Improving the performance of stabilizing control for nonlinear systems
    • Beard, R., Saridis, G., and Wen, J., 1996, Improving the performance of stabilizing control for nonlinear systems. Control Systems Magazine, 16, 27-35.
    • (1996) Control Systems Magazine , vol.16 , pp. 27-35
    • Beard, R.1    Saridis, G.2    Wen, J.3
  • 6
    • 0031332446 scopus 로고    scopus 로고
    • Galerkin approximation of the generalized Hamilton-Jacobi-Bellman equation
    • Beard, R., Saridis, G., and Wen, J., 1997, Galerkin approximation of the generalized Hamilton-Jacobi-Bellman equation, Automatica 33, 2159-2177.
    • (1997) Automatica , vol.33 , pp. 2159-2177
    • Beard, R.1    Saridis, G.2    Wen, J.3
  • 9
    • 0003787146 scopus 로고
    • Princeton, NJ: Princeton University Press)
    • Bellman, R. E., 1957, Dynamic Programming (Princeton, NJ: Princeton University Press).
    • (1957) Dynamic Programming
    • Bellman, R.E.1
  • 12
  • 16
    • 85096888961 scopus 로고
    • Springer Series in Computational Physics (New York: Springer)
    • Fletcher, C. A. J., 1984, Computational Galerkin Methods. Springer Series in Computational Physics (New York: Springer).
    • (1984) Computational Galerkin Methods.
    • Fletcher, C.A.J.1
  • 17
    • 0026172992 scopus 로고
    • Adaptive control of nonlinear systems: A case study of underwater robotic systems
    • Fossen, T. I., and Sagatun, S. I., 1991, Adaptive control of nonlinear systems: A case study of underwater robotic systems. Journal of Robotic Systems, 8, 393-412.
    • (1991) Journal of Robotic Systems , vol.8 , pp. 393-412
    • Fossen, T.I.1    Sagatun, S.I.2
  • 18
    • 0029178462 scopus 로고
    • Optimal nonlinear controllers for feedback linearizable systems
    • Seattle, Washington
    • Freeman, R. A., and Kokotovic, P. V., 1995, Optimal nonlinear controllers for feedback linearizable systems. Proceedings of the American Control Conference, Seattle, Washington, pp. 2722-2726.
    • (1995) Proceedings of the American Control Conference , pp. 2722-2726
    • Freeman, R.A.1    Kokotovic, P.V.2
  • 19
    • 0017537095 scopus 로고
    • Design of nonlinear automatic flight control systems
    • Garrard, W. L., and Jordan, J. M., 1977, Design of nonlinear automatic flight control systems. Automatica, 13, 497-505.
    • (1977) Automatica , vol.13 , pp. 497-505
    • Garrard, W.L.1    Jordan, J.M.2
  • 21
    • 3342955396 scopus 로고
    • Galerkin Methods for the Solution of Nonlinear Optimal Regulator and H-infinity Control Problems
    • Rome, Italy
    • Georges, D., 1995, Galerkin Methods for the Solution of Nonlinear Optimal Regulator and H-infinity Control Problems. Proceedings of the European Control Conference, Rome, Italy, pp. 2078-2083.
    • (1995) Proceedings of the European Control Conference , pp. 2078-2083
    • Georges, D.1
  • 22
    • 0001240790 scopus 로고    scopus 로고
    • Solutions of nonlinear optimal regulator and H-infinity control problems via Galerkins method
    • Georges, D., 1996, Solutions of nonlinear optimal regulator and H-infinity control problems via Galerkins method. European Journal of Control, 2, 211-226.
    • (1996) European Journal of Control , vol.2 , pp. 211-226
    • Georges, D.1
  • 23
    • 0021455301 scopus 로고
    • On the gain margin of nonlinear and optimal regulators
    • Glad, S. T., 1984, On the gain margin of nonlinear and optimal regulators. IEEE Transactions on Automatic Control, 29, 615-620.
    • (1984) IEEE Transactions on Automatic Control , vol.29 , pp. 615-620
    • Glad, S.T.1
  • 24
    • 0023382820 scopus 로고
    • Robustness of nonlinear state feedback-a survey
    • Glad, S. T., 1987, Robustness of nonlinear state feedback-a survey. Automatica, 23, 425-435.
    • (1987) Automatica , vol.23 , pp. 425-435
    • Glad, S.T.1
  • 25
    • 0022234584 scopus 로고
    • Robust nonlinear regulators based on Hamilton-Jacobi theory and Lyapunov functions
    • Cambridge
    • Glad, T., 1985, Robust nonlinear regulators based on Hamilton-Jacobi theory and Lyapunov functions. IEEE Control Conference, Cambridge, pp. 276-280.
    • (1985) IEEE Control Conference , pp. 276-280
    • Glad, T.1
  • 26
    • 0027594098 scopus 로고
    • On the nonlinear optimal regulator problem
    • Goh, C. J., 1993, On the nonlinear optimal regulator problem. Automatica, 29, 751-756.
    • (1993) Automatica , vol.29 , pp. 751-756
    • Goh, C.J.1
  • 30
    • 0026927363 scopus 로고
    • Disturbance attenuation and Ho-control via measurement feedback in nonlinear systems
    • Isidori, A., and Astolfi, A., 1992, Disturbance attenuation and Ho-control via measurement feedback in nonlinear systems. IEEE Transactions on Automatic Control, 37, 1283-1293.
    • (1992) IEEE Transactions on Automatic Control , vol.37 , pp. 1283-1293
    • Isidori, A.1    Astolfi, A.2
  • 31
    • 0003448648 scopus 로고
    • Englewood Cliffs, NJ: Prentice-Hall)
    • Kirk, D. E., 1970, Optimal Control Theory. (Englewood Cliffs, NJ: Prentice-Hall).
    • (1970) Optimal Control Theory
    • Kirk, D.E.1
  • 32
    • 0025484857 scopus 로고
    • Numerical methods for stochastic control problems in continuous time
    • Kushner, H. J., 1990, Numerical methods for stochastic control problems in continuous time. SIAM Journal on Control and Optimization, 28, 999-1048.
    • (1990) SIAM Journal on Control and Optimization , vol.28 , pp. 999-1048
    • Kushner, H.J.1
  • 33
    • 46449135303 scopus 로고    scopus 로고
    • Numerically efficient approximations to the Hamilton-Jacobi-Bellman equation
    • Philadelphia, PA
    • Lawton, J., and Beard, R., 1998, Numerically efficient approximations to the Hamilton-Jacobi-Bellman equation. American Control Conference, Philadelphia, PA.
    • (1998) American Control Conference
    • Lawton, J.1    Beard, R.2
  • 35
    • 0004163205 scopus 로고
    • New York: John Wiley & Sons)
    • Lewis, F. L., 1986, Optimal Control (New York: John Wiley & Sons).
    • (1986) Optimal Control
    • Lewis, F.L.1
  • 36
    • 0027807138 scopus 로고
    • A new nonlinear optimal feedback control law
    • Lu, P., 1993, A new nonlinear optimal feedback control law. Control Theory and Advanced Technology, 9, 947-954.
    • (1993) Control Theory and Advanced Technology , vol.9 , pp. 947-954
    • Lu, P.1
  • 40
    • 0038841599 scopus 로고
    • Successive approximations for solution of one optimal problem
    • Mil’ shtein, G. N., 1964, Successive approximations for solution of one optimal problem. Automation and Remote Control, 25, 298-306.
    • (1964) Automation and Remote Control , vol.25 , pp. 298-306
    • Mil’ Shtein, G.N.1
  • 42
    • 0039319294 scopus 로고
    • Suboptimal design of intentionally nonlinear controllers
    • Rekasius, Z. V., 1964, Suboptimal design of intentionally nonlinear controllers. IEEE Transactions on Automatic Control, 9, 380-386.
    • (1964) IEEE Transactions on Automatic Control , vol.9 , pp. 380-386
    • Rekasius, Z.V.1
  • 49
    • 0021482297 scopus 로고
    • Guaranteed robustness properties of multivariable nonlinear stochastic optimal regulators
    • Tsitsiklis, J. N., and Athans, M., 1984, Guaranteed robustness properties of multivariable nonlinear stochastic optimal regulators. IEEE Transactions on Automatic Control, 29, 690-696.
    • (1984) IEEE Transactions on Automatic Control , vol.29 , pp. 690-696
    • Tsitsiklis, J.N.1    Athans, M.2
  • 51
    • 0040026430 scopus 로고
    • An approximate method for the synthesis of optimal control
    • Vaisbord, E. M., 1963, An approximate method for the synthesis of optimal control. Automation and Remote Control, 24, 1626-1632.
    • (1963) Automation and Remote Control , vol.24 , pp. 1626-1632
    • Vaisbord, E.M.1
  • 52
    • 0026883666 scopus 로고
    • L2-gain analysis of nonlinear systems and nonlinear systems and nonlinear state feedback H control
    • 2-gain analysis of nonlinear systems and nonlinear systems and nonlinear state feedback H control. IEEE Transactions on Automatic Control, 37, 770-784.
    • (1992) IEEE Transactions on Automatic Control , vol.37 , pp. 770-784
    • Vander Schaft, A.J.1


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