Abstract
A multiple model based observer/estimator for the estimation of parameters is used to reset the parameter estimation in a conventional Lyapunov based nonlinear adaptive controller. The advantage of combining both approaches is that the performance of the controller with respect to disturbances can be considerably improved while a reduced controller gain will increase the robustness of the approach with respect to noise and unmodeled dynamics. Several alternative resetting criteria are developed based on a control Lyapunov function.
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R. H. Middleton, G. C. Goodwin, D. J. Hill, and D. Q. Mayne, “Design issues in adaptive control,” IEEE Transactions on Automatic Control, vol. 33, pp. 50–58, 1 1988.
K. S. Narendra and J. Balakrishnan, “Improving transient response of adaptive control systems using multiple models and switching,” IEEE Transactions on Automatic Control, vol. 39, no. 9, pp. 1861–1866, 1994.
K. S. Narendra and J. Balakrishnan, “Intelligent control using fixed and adaptive models,” in Proceedings on the 33rd CDC, Lake Buena vista, Florida, pp. 1680–1685, December 1994.
K. S. Narendra, J. Balakrishnan, and M. K. Ciliz, “Adaption and learning using multiple models, switching and tuning,” IEEE Control Systems Magazine, vol. 15, no. 3, pp. 37–51, 1995.
A. S. Morse, “Supervisory control of families of linear set-point controllers-part 1: Exact matching,” IEEE Transactions on Automatic Control, vol. 41, pp. 1413–1431, October 1996.
A. S. Morse, “Supervisory control of families of linear set-point controllers-part 2: Robustness,” IEEE Transactions on Automatic Control, vol. 42, pp. 1500–1515, 10 1997.
K. S. Narendra and C. Xiang, “Adaptive control of discrete-time systems using multiple models,” in Proceedings on the 37th CDC Tampa, Florida, pp. 3978–3983, December 1998.
P. V. Zhivoglyadov, R. H. Middleton, and M. Fun, “Localisation based switching adaptive control for time-varying discrete time systems,” IEEE Transactions on Automatic Control, vol. 45, no. 4, pp. 752–755, 2000.
M. Krstiç, I. Kanellakopoulos, and P. Kokotoviç, Nonlinear Adaptive Control Design. John Wiley & Sons Inc., 1995.
A. van der Schaft and H. Schumacher, An Introduction to Hybrid Dynamical Systems. London: Springer-Verlag, 2000.
S. D. V. Utkin, “Sliding mode observers. Tutorial,” in Proceedings of the 34th IEEE CDC, New Orleans, pp. 3376–3378, 1995.
Y. Liu, “Switching observer design for uncertain nonlinear system,” in Proceedings of the 34th IEEE CDC, New Orleans, pp. 1756–1761, 1995.
J. Hespanha, Logic-Based Switching Algorithms in Control. Dissertation, Graduate School, Yale University, December 1998.
C. de Wit, R. Horowitz, and P. Tsiotras, “Model-based observers for tire/road contact friction prediction,” in New Directions in Nonlinear Observer Design, Springer Lecture Notes on Control and Information Science No. 244.
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Kalkkuhl, J., Johansen, T.A., Lüdemann, J., Queda, A. (2001). Nonlinear Adaptive Backstepping with Estimator Resetting Using Multiple Observers. In: Di Benedetto, M.D., Sangiovanni-Vincentelli, A. (eds) Hybrid Systems: Computation and Control. HSCC 2001. Lecture Notes in Computer Science, vol 2034. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45351-2_27
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DOI: https://doi.org/10.1007/3-540-45351-2_27
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