Nonlinear control for robust rejection of periodic disturbances

Systems and Control Letters

Volumn 39, Issue 2, 2000, Pages 97-107

  Lee, Richard C H ^a   Smith, Malcolm C ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Asymptotic disturbance rejection; Internal model principle; Nonlinear control; Repetitive control; Robustness; Triangular waveforms

Indexed keywords

EID: 0346737930     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(99)00094-8     Document Type: Article

References (14)

1. G.J. Balas, J.C. Doyle, K. Glover, A. Packard, R. Smith, μ-Analysis and Synthesis Toolbox User's Guide: For Use with MATLAB, The MathWorks, Inc., 1994.
2. C.I. Byrnes, F. Delli Priscoli, A. Isidori, Output Regulation of Uncertain Nonlinear Systems, Birkhäuser, Basel, 1997.
3. B.A. Francis, W.M. Wonham, The internal model principle of control theory, Automatica 12 (1976) 457-465.
4. T.T. Georgiou, M.C. Smith, Optimal robustness in the gap metric, IEEE Trans. Automat. Control 35 (1990) 673-686.
5. T.T. Georgiou, M.C. Smith, Robustness analysis of nonlinear feedback systems: an input-output approach, IEEE Trans. Automat. Control 42 (1997) 1200-1221.
6. S. Hara, Y. Yamamoto, Stability of repetitive control systems, Proceedings of IEEE Conference on Decision and Control, 1985, pp. 326-327.
7. S. Hara, Y. Yamamoto, T. Omata, M. Nakano, Repetitive control system: a new type servo system for periodic exogenous signals, IEEE Trans. Automat. Control 33 (1988) 659-668.
8. T. Inoue, M. Nakano, T. Kubo, S. Mutsumoto, H. Baba, High accuracy control of a proton synchrotron magnet power supply, Proceedings of Eighth World Congress of IFAC, 1981, pp. 216-221.
9. T. Inoue, M. Nakano, S. Iwai, High accuracy control of servomechanism for repeated contouring, 10th Annual Symposium on Incremental Motion Control Systems and Devices, 1981, pp. 285-292.
10. A. Isidori, T.J. Tarn, Robust regulation for nonlinear systems with gain-bounded uncertainties, IEEE Trans. Automat. Control 40 (1995) 1744-1754.
11. R.C.H. Lee, M.C. Smith, Some remarks on repetitive control systems, Proceedings of IEEE Conference on Decision and Control, 1996, pp. 2023-2024.
12. R.C.H. Lee, M.C. Smith, Robustness and trade-offs in repetitive control, Automatica 34 (7) (1998) 889-896.
13. ∞ design, Automatica 35 (1999) 1185-1199.
14. K. Zhou, J.C. Doyle, K. Glover, Robust and Optimal Control, Prentice-Hall, Englewood Cliffs, NJ, 1996.