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Adaptive robust iterative learning control with dead zone scheme. (English) Zbl 0939.93018

The authors propose and prove a new dead-zone scheme for adaptive robust iterative learning control of a class of nonlinear uncertain systems. Some limited examples are provided, too.

MSC:

93C40 Adaptive control/observation systems
93C10 Nonlinear systems in control theory
93B51 Design techniques (robust design, computer-aided design, etc.)
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[1] Amann, N.; Owens, D. H.; Rogers, E., Iterative learning control using optimal feedback and feedforward actions, International Journal of Control, 65, 2, 277-293 (1996) · Zbl 0857.93044
[2] Arimoto, S. (1985). Mathematical theory of learning with applications to robot control. In Narendra, K.S., Adaptive and learning systems: Theory and applications (pp. 379-388). Yale University, New Haven, Connecticut, USA. New York: Plenum Press.; Arimoto, S. (1985). Mathematical theory of learning with applications to robot control. In Narendra, K.S., Adaptive and learning systems: Theory and applications (pp. 379-388). Yale University, New Haven, Connecticut, USA. New York: Plenum Press.
[3] Brogliato, B.; Neto, A. T., Practical stabilization of a class of nonlinear systems with partially known uncertainties, Automatica, 31, 1, 145-150 (1995) · Zbl 0825.93650
[4] Chien, C.-J.; Liu, J.-S., P-type iterative learning controller for robust output tracking of nonlinear time-varying systems, International Journal of Control, 64, 2, 319-334 (1996) · Zbl 0863.93040
[5] Lee, H. S.; Bien, Z., A note on convergence property of iterative learning controller with respect to sup norm, Automatica, 33, 8, 1591-1593 (1997) · Zbl 0881.93039
[6] Longman, R. W.; Lo, C.-P., Generalized holds, ropple attenuation, and tracking additional outputs in learning control, Journal of Guidance, Control, and Dynamics, 20, 6, 1207-1214 (1997) · Zbl 0906.93032
[7] Lucibello, P.; Panzier, S.; Ulivi, G., Repositioning control of a two-link flexible arm by learning, Automatica, 33, 4, 579-590 (1997) · Zbl 0882.93053
[8] Miller, R. K., & Michel, A.N. (1982). Ordinary differential Equations New York: Academic Press.; Miller, R. K., & Michel, A.N. (1982). Ordinary differential Equations New York: Academic Press. · Zbl 0552.34001
[9] Moore, K. L., Iterative Learning Control — An Expository Overview., Applied and Computational Controls, Signal Processing, and Circuits, 1, i, 1-42 (1998)
[10] Phan, M. Q.; Juang, J. N., Designs of learning controllers based on an auto-regressive representation of a linear system, AIAA Journal of Guidance, Control, and Dynamics, 19, 2, 355-362 (1996) · Zbl 0848.93027
[11] Xu, J.-X.; Qu, Z., Robust learning control for a class of non-linear systems, Automatica, 34, 8, 983-988 (1998) · Zbl 1040.93519
[12] Xu, J.-X., Analysis of iterative learning control for a class of nonlinear discrete-time systems, Automatica, 33, 10, 1905-1907 (1997) · Zbl 0885.93031
[13] Xu, J.-X.; Lee, T. H.; Jia, Q.-W., Adaptive robust control scheme for a class of nonlinear uncertain systems, International Journal of System Science, 28, 4, 429-434 (1997) · Zbl 0890.93054
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