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An adaptive servomechanism for a class of uncertain nonlinear systems encompassing actuator hysteresis

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Robust Control via Variable Structure and Lyapunov Techniques

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 217))

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References

  • Aubin, J-P., Cellina, A., 1984, Differential Inclusions, Springer-Verlag, Berlin-New York.

    Google Scholar 

  • Byrnes, C. I., Willems, J. C., 1984, Adaptive stabilization of multivariable linear systems, Proceedings IEEE Conference on Decision and Control, 1574–1577.

    Google Scholar 

  • Corless, M., 1991, Simple adaptive controllers for systems which are stabilizable via high gain feedback, IMA Journal of Mathematical Control and Information, 8, 379–387.

    Google Scholar 

  • Corless, M., Leitmann, G. 1984, Adaptive control for uncertain dynamical systems, in Blaquière, A., Leitmann, G., editors, Dynamical Systems Microphysics: Control Theory and Mechanics, Academic Press, New York.

    Google Scholar 

  • Corless, M., Ryan, E. P., 1993, Adaptive control of a class of nonlinearly perturbed linear systems of relative degree two, Systems and Control Letters, 21, 59–64.

    Google Scholar 

  • Filippov, A. F., 1988, Differential Equations with Discontinuous Righthand Sides, Kluwer Academic Publishers, Dordrecht.

    Google Scholar 

  • Helmke, U., Prätzel-Wolters, D., Schmid, S., 1990, Adaptive tracking for scalar minimum phase systems, in Hinrichsen, D., Märtensson, B., editors, Control of Uncertain Systems, Birkhäuser, Boston.

    Google Scholar 

  • Ilchmann, A., 1993, Non-Identifier-Based High-Gain Adaptive Control, Springer-Verlag, Berlin.

    Google Scholar 

  • Ilchmann, A., Logemann, H., 1992, High-gain adaptive stabilization of multivariable linear systems—revisited, Systems and Control Letters, 18, 355–364.

    Google Scholar 

  • Ilchmann, A., Owens, D. H., 1990, Adaptive stabilization with exponential decay, Systems and Control Letters, 14, 437–443.

    Google Scholar 

  • Ilchmann, A., Ryan, E. P., 1994, Universal λ-tracking for nonlinearly-perturbed systems in the presence of noise, (with A. Ilchmann), Automatica, 30, 337–346.

    Google Scholar 

  • Logemann, H., Owens, D. H., 1988, Input-output theory of high-gain adaptive stabilization of infinite-dimensional systems with non-linearities, International Journal of Adaptive Control and Signal Processing, 2, 193–216.

    Google Scholar 

  • Logemann, H., Zwart, H., 1991, Some remarks on adaptive stabilization of infinite dimensional systems, Systems and Control Letters, 16, 199–207.

    Google Scholar 

  • MÃ¥rtensson, B., 1985, The order of any stabilizing regulator is sufficient a priori information for adaptive stabilization, Systems and Control Letters, 6, 87–91.

    Google Scholar 

  • MÃ¥rtensson, B., 1986, Adaptive Stabilization, PhD Thesis, Institute of Technology, Lund, Sweden.

    Google Scholar 

  • MÃ¥rtensson, B., 1987, Adaptive stabilization of multivariable linear systems, Contemporary Mathematics, 68, 191–225.

    Google Scholar 

  • MÃ¥rtensson, B., 1990, Remarks on adaptive stabilization of first order nonlinear systems, Systems and Control Letters, 14, 1–7.

    Google Scholar 

  • MÃ¥rtensson, B., 1991, The unmixing problem, IMA Journal of Mathematical Control and Information, 8, 367–377.

    Google Scholar 

  • Miller, D. E., Davison, E. J., 1989, An adaptive controller which provides Lyapunov stability, IEEE Transactions on Automatic Control, 34, 599–609.

    Google Scholar 

  • Morse, A. S., 1984, New directions in parameter adaptive control, Proceedings IEEE Conference on Decision and Control, 1566–1568.

    Google Scholar 

  • Morse, A. S., 1985, A Three Dimensional Universal Controller for the Adaptive Stabilization of Any Strictly Proper Minimum Phase System with Relative Degree Not Exceeding Two, IEEE Transactions on Automatic Control, 30, 1188–1191.

    Google Scholar 

  • Nussbaum, R. D., 1983, Some remarks on a conjecture in parameter adaptive control, Systems and Control Letters, 3, 243–246.

    Google Scholar 

  • Ryan, E. P., 1990, Discontinuous feedback and universal adaptive stabilization, in Hinrichsen, D., MÃ¥rtensson, B., editors, Control of Uncertain Systems, Birkhäuser, Basel-Boston.

    Google Scholar 

  • Ryan, E. P., 1991a, A universal adaptive stabilizer for a class of nonlinear systems, Systems and Control Letters, 16, 209–218.

    Google Scholar 

  • Ryan, E. P., 1991b, Finite-time stabilization of uncertain nonlinear planar systems, Dynamics and Control, 1, 83–94.

    Google Scholar 

  • Ryan, E. P., 1992, Universal W 1, ∞-tracking for a class of nonlinear systems, Systems and Control Letters, 18, 201–210.

    Google Scholar 

  • Ryan, E. P., 1993, Adaptive stabilization of multi-input nonlinear systems, International Journal of Robust and Nonlinear Control, 3, 169–181.

    Google Scholar 

  • Ryan, E. P., 1994, A nonlinear universal servomechanism, IEEE Transactions on Automatic Control, 39, 753–761.

    Google Scholar 

  • Ryan, E. P., 1995, Universal stabilization of a class of nonlinear systems with homogeneous vector fields, Systems and Control Letters, 26, 177–184.

    Google Scholar 

  • Tao, G., Kokotović, P. V., 1993, Adaptive control of plants with unknown output dead-zones, Proceedings IFAC World Conference, Sidney, 6, 7–10.

    Google Scholar 

  • Townley, S., 1995, Simple adaptive stabilization of output feedback stabilizable distributed parameter systems, Dynamics and Control, 5, 107–123.

    Google Scholar 

  • Willems, J. C., Byrnes, C. I., 1984, Global adaptive stabilization in the absence of information on the sign of the high frequency gain, in Lecture Notes in Control and Information Sciences, 62, Springer-Verlag, Berlin-New York, 49–57.

    Google Scholar 

  • Wonham, W. M., 1979, Linear Multivariable Control: a Geometric Approach, Springer-Verlag, Berlin-New York.

    Google Scholar 

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Authors

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Franco Garofalo Luigi Glielmo

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© 1996 Springer-Verlag London Limited

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Ryan, E.P. (1996). An adaptive servomechanism for a class of uncertain nonlinear systems encompassing actuator hysteresis. In: Garofalo, F., Glielmo, L. (eds) Robust Control via Variable Structure and Lyapunov Techniques. Lecture Notes in Control and Information Sciences, vol 217. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0027564

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  • DOI: https://doi.org/10.1007/BFb0027564

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  • Online ISBN: 978-3-540-40946-5

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