A 2D system approach to the design of a robust modified repetitive-control system with a dynamic output-feedback controller

Bristow, D.A., Tharayil, M. and Alleyne, A.G. (2006). A survey of iterative learning control, IEEE Control Systems Magazine26(3): 96–114.10.1109/MCS.2006.1636313Search in Google Scholar

Doi, M., Masuko, M., Ito, Y. and Tezuka, A. (1985). A study on parametric-vibration in chuck work, Bulletin of the Japan Society of Mechanical Engineers28(245): 2774–2780.10.1299/jsme1958.28.2774Search in Google Scholar

Galkowski, K., Paszke, W., Rogers, E., Xu, S., Lam, J. and Owens, D.H. (2003). Stability and control of differential linear repetitive processes using an LMI setting, IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing50(9): 662–666.10.1109/TCSII.2003.816909Search in Google Scholar

Hara, S., Yamamoto, Y. and Omata, T. (1988). Repetitive control system: A new type servo system for periodic exogenous signals, IEEE Transactions on Automatic Control33(7): 659–668.10.1109/9.1274Search in Google Scholar

Hladowski, L., Galkowski, K., Rogers, E., Zhou, L., He, Y. and Kummert, A. (2012). Repetitive process based iterative learning control for a two motors system, IEEE International Conference on Control Applications, CCA 2012, Dubrovnik, Croatia, pp. 154–159.Search in Google Scholar

Ho, D.W.C. and Lu, G. (2003). Robust stabilization for a class of discrete-time non-linear system via output feedback: The unified LMI approach, International Journal of Control76(2): 105–115.10.1080/0020717031000067367Search in Google Scholar

Inoue, T., Nakano, M. and Iwai, S. (1981). High accuracy control of a proton synchrotron magnet power supply, Proceedings of the 8th IFAC World Congress, Kyoto, Japan, pp. 216–221.Search in Google Scholar

Jarzebowska, E.M. (2008). Advanced programmed motion tracking control of nonholonomic mechanical systems, IEEE Transactions on Robotics24(6): 1315–1328.10.1109/TRO.2008.2006700Search in Google Scholar

Khargonek, P.P., Petersen, I.R. and Zhou, K. (1990). Robust stabilization of uncertain linear systems: Quadratic stability and H_∞ control theory, IEEE Transactions on Automatic Control35(3): 356–361.10.1109/9.50357Search in Google Scholar

Li, Z.D. and Yang, W.D. (2011). H∞ robust repetitive control with output feedback for roll eccentricity compensation, Control Theory and Applications28(3): 381–388.Search in Google Scholar

Omata, T., Hara, T. and Nakano, M. (1985). Repetitive control for linear periodic systems, Electrical Engineering in Japan105(3): 131–138.10.1002/eej.4391050316Search in Google Scholar

Petersen, I.R. and Hollot, C.V. (1986). A Riccati equation approach to the stabilization of uncertain linear systems, Automatica22(4): 397–411.10.1016/0005-1098(86)90045-2Search in Google Scholar

Rogers, E., Galkowski, K. and Owens, D.H. (2007). Control Systems Theory and Applications for Linear Repetitive Processes, Lecture Notes in Control and Information Sciences, Vol. 349, Springer-Verlag, Berlin.Search in Google Scholar

Roncero-Sanchez, P., Acha, E. and Ortega-Calderon, J.E. (2009). A versatile control scheme for a dynamic voltage restorer for power-quality improvement, IEEE Transactions on Power Delivery24(1): 277–284.10.1109/TPWRD.2008.2002967Search in Google Scholar

She, J., Fang, M. and Ohyama, Y. (2008). Improving disturbance-rejection performance based on an equivalent input-disturbance approach, IEEE Transactions on Industrial Electronics55(1): 380–389.10.1109/TIE.2007.905976Search in Google Scholar

She, J., Zhou, L. and Wu, M. (2012). Design of a modified repetitive-control system based on a continuous-discrete 2D model, Automatica48(5): 844–850.10.1016/j.automatica.2012.02.019Search in Google Scholar

Songschon, S. and Longman, R.W. (2003). Comparison of the stability boundary and the frequency response stability condition in learning and repetitive control, International Journal of Applied Mathematics and Computer Science13(2): 169–177.Search in Google Scholar

Verdult, V., Lovera, M. and Verhaegen, M. (2007). Identification of linear parameter-varying state space models with application to helicopter rotor, International Journal of Control77(13): 1149–1159.10.1080/0020717042000274527Search in Google Scholar

Wu, L.G., Shi, P., Gao, H.J. and Wang, C.H. (2008). H_∞ filtering for 2D Markovian jump systems, Electric Machines and Control44(7): 1849–1858.10.1016/j.automatica.2007.10.027Search in Google Scholar

Wu, M., Zhou, L., She, J. and He, Y. (2010). Design of robust output-feedback repetitive controller for class of linear systems with uncertainties, Science China: Information Sciences53(5): 1006–1015.10.1007/s11432-010-0095-8Search in Google Scholar

Wu, L.G., Gao, H.J. and Wang, C.H. (2011). Quasi sliding mode control of differential linear repetitive process with unknown input disturbance, IEEE Transactions on Industrial Electronics (7): 3059–3068.10.1109/TIE.2010.2072891Search in Google Scholar

Wu, M., Zhou, L. and She, J. (2011b). Design of observer-based H_∞ robust repetitive-control system, IEEE Transactions on Automatic Control56(6): 1452–1457.10.1109/TAC.2011.2112473Search in Google Scholar

Wu, L.G., Yao, X.M. and Zheng, W. X. (2012). Generalized H2 fault detection for Markovian jumping two-dimensional systems, Automatica48(8): 1741–1750.10.1016/j.automatica.2012.05.024Search in Google Scholar

Xie, L.H. and Du, C.L. (2002). H_∞Control and Filter of Two-Dimensional System, Springer, Berlin.Search in Google Scholar

Yamamoto, Y. (1994). A function space approach to sampled data control systems and tracking problems, IEEE Transactions on Automatic Control39(4): 703–713.10.1109/9.286247Search in Google Scholar

Zhou, K., Doyle, J.C. and Glover, K. (1996). Robust and Optimal Control, Prentice Hall, Upper Saddle River, NJ.Search in Google Scholar

Zhou, L., She, J. and Wu, M. (2012). Design of a robust modified repetitive-control system for a periodic plant, ASME Journal of Dynamic Systems, Measurement, and Control134(1): 011023–1–7.10.1115/1.4004770Search in Google Scholar