Controlling aliased dynamics in motion systems? An identification for sampled-data control approach

References

• Åström, K.J., Hagander, P., & Sternby, J. (1984). Zeros of sampled systems. Automatica, 20, 31–38.
   Web of Science ®Google Scholar
• Åström, K.J., & Wittenmark, B. (1990). Computed-controlled systems: Theory and design (2nd ed.). Englewood Cliffs, NJ: Prentice-Hall.
   Google Scholar
• Bamieh, B., Pearson, J.B., Francis, B.A., & Tannenbaum, A. (1991). A lifting technique for linear periodic systems with applications to sampled-data control. Systems & Control Letters, 17, 79–88.
   Web of Science ®Google Scholar
• Błachuta, M.J., & Grygiel, R.T. (2008). Sampling of noisy signals: Spectral vs anti-aliasing filters. Presented at IFAC 17th, Seoul, Korea, pp. 7576–7581.
   Google Scholar
• Błachuta, M.J., & Grygiel, R.T. (2009). Are anti-aliasing filters really necessary for sampled-data control? Presented at Proceedings of the 2009 American Control Conference, St. Louis, MO, pp. 3200–3205.
   Google Scholar
• Bultheel, A., van Barel, M., Rolain, Y., & Pintelon, R. (2005). Numerically robust transfer function modeling from noisy frequency domain data. IEEE Transactions on Automatic Control, 50, 1835–1839.
   Web of Science ®Google Scholar
• de Callafon, R.A., de Roover, D., & Van den Hof, P.M.J. (1996). Multivariable least squares frequency domain identification using polynomial matrix descriptions. Paper Presented at Proceedings of the 35th Conference on Decision and Control, Kobe, Japan, pp. 2030–2035.
   Google Scholar
• de Callafon, R.A., & Van den Hof, P.M.J. (2001). Multivariable feedback relevant system identification of a wafer stepper system. IEEE Transactions on Control Systems Technology, 9, 381–390.
   Web of Science ®Google Scholar
• Cantoni, M.W., & Glover, K. (1997). Frequency-domain analysis of linear periodic operators with application to sampled-data control design. Presented at Proceedings of the 1997 Conference on Decision and Control, San Diego, CA, USA, pp. 4318–4323.
   Google Scholar
• Chen, T., & Francis, B. (1995). Optimal sampled-data control systems. London: Springer.
   Google Scholar
• Delgado, R.A., Agüero, J.C., Goodwin, G.C., & Yuz, J.I. (2011). Two-degree-of-freedom anti-aliasing technique for wide-band networked control. Presented at IFAC 18th Triennial World Congress. Milano, Italy, pp. 8884–8889.
   Google Scholar
• Dullerud, G.E. (1996). Control of uncertain sampled-data systems. Boston, MA: Birkhäuser.
   Google Scholar
• Freudenberg, J.S., Middleton, R.H., & Braslavsky, J.H. (1995). Inherent design limitations for linear sampled-data feedback systems. International Journal of Control, 61, 1387–1421.
   Web of Science ®Google Scholar
• Garnier, H., & Wang, L. (Eds.). (2008). Identification of continuous-time models from sampled data: Advances in industrial control. London: Springer-Verlag.
   Google Scholar
• Gevers, M. (1993). Towards a joint design of identification and control? In H.L. Trentelman and J.C. Willems (Eds.), Essays on control: Perspectives in the theory and its applications ( Chap. 5, pp. 111–151). Boston, MA: Birkhäuser.
   Google Scholar
• Goodwin, G.C., Agüero, J.C., Cea Garrido, M.E., Salgado, M.E., & Yuz, J.I. (2013). Sampling and sampled-data models. IEEE Control Systems Magazine, 33, 34–53.
   Web of Science ®Google Scholar
• Goodwin, G.C., & Salgado, M. (1994). Frequency domain sensitivity functions for continuous time systems under sampled data control. Automatica, 30, 1263–1270.
   Web of Science ®Google Scholar
• Hara, S., Tetsuka, M., & Kondo, R. (1990). Ripple attenuation in digital repetitive control systems. Presented at Proceedings of the 29th Conference on Decision and Control, Honolulu, HI, USA, pp. 1679–1684.
   Google Scholar
• Heath, W.P. (2001). Bias of indirect non-parametric transfer function estimates for plants in closed loop. Automatica, 37, 1529–1540.
   Web of Science ®Google Scholar
• van Herpen, R., Oomen, T., & Bosgra, O. (2012). Bi-orthonormal basis functions for improved frequency domain system identification. Presented at Proceedings of the 51st Conference on Decision and Control, Maui, HI, USA, pp. 3451–3456.
   Google Scholar
• Hughes, P.C. (1987). Space structure vibration modes: How many exist? Which ones are important? IEEE Control Systems Magazine, 7, 22–28.
   Google Scholar
• LeVoci, P.A., & Longman, R.W. (2004). Intersample error in discrete time learning and repetitive control. Presented at Proceedings of the AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Providence, RI, USA, pp. 1–24.
   Google Scholar
• Lindgärde, O., & Lennartson, B. (1997). Performance and robust frequency response for multirate sampled-data systems. Presented at Proceedings of the 1997 American Control Conference, Albuquerque, NM, USA, pp. 3877–3881.
   Google Scholar
• Ljung, L. (1999). System identification: Theory for the user (2nd ed.). Upper Saddle River, NJ: Prentice Hall.
   Google Scholar
• Oomen, T., & Bosgra, O. (2012). System identification for achieving robust performance. Automatica, 48, 1975–1987.
   Web of Science ®Google Scholar
• Oomen, T., & Steinbuch, M. (2014). Identification for robust control of complex systems: Algorithm and motion application. Control-Oriented Modelling and Identification: Theory and Applications.
   Google Scholar
• Oomen, T., van de Wal, M., & Bosgra, O. (2007). Design framework for high-performance optimal sampled-data control with application to a wafer stage. International Journal of Control, 80, 919–934.
   Web of Science ®Google Scholar
• Oomen, T., van de Wijdeven, J., & Bosgra, O. (2009). Suppressing intersample behavior in iterative learning control. Automatica, 45, 981–988.
   Web of Science ®Google Scholar
• Oomen, T., van de Wijdeven, J., & Bosgra, O. (2011). System identification and low-order optimal control of intersample behavior in ILC. IEEE Transactions on Automatic Control, 56, 2734–2739.
   Web of Science ®Google Scholar
• Oomen, T., van Herpen, R., Quist, S., van de Wal, M., Bosgra, O., & Steinbuch, M. (2013). Connecting system identification and robust control for next-generation motion control of a wafer stage. IEEE Transactions on Control Systems Technology, 22, 102–118.
   Web of Science ®Google Scholar
• Pintelon, R., Guillaume, P., Rolain, Y., Schoukens, J., & Van hamme, H. (1994). Parametric identification of transfer functions in the frequency domain – A survey. IEEE Transactions on Automatic Control, 39, 2245–2260.
   Web of Science ®Google Scholar
• Pintelon, R., & Schoukens, J. (1997). Identification of continuous-time systems using arbitrary signals. Automatica, 33, 991–994.
   Web of Science ®Google Scholar
• Pintelon, R., & Schoukens, J. (2001). Measurement of frequency response functions using periodic excitations, corrupted by correlated input/output errors. IEEE Transactions on Instrumentation and Measurement, 50, 1753–1760.
   Web of Science ®Google Scholar
• Pintelon, R., & Schoukens, J. (2012). System identification: A frequency domain approach (2nd ed.). New York: IEEE Press.
   Google Scholar
• Pintelon, R., Schoukens, J., McKelvey, T., & Rolain, Y. (1996). Minimum variance bounds for overparameterized models. IEEE Transactions on Automatic Control, 41, 719–720.
   Web of Science ®Google Scholar
• Pintelon, R., Schoukens, J., & Rolain, Y. (2000). Box-Jenkins continuous-time modeling. Automatica, 36, 983–991.
   Web of Science ®Google Scholar
• Preumont, A. (2004). Vibration control of active structures: An introduction (2nd ed.), Vol. 96 of Solid Mechanics and Its Applications. New York: Kluwer Academic Publishers.
   Google Scholar
• Quinn, W.J., & Williamson, S.E. (1985). A frequency response method for predicting the level of intersample activity in discrete systems. International Journal of Control, 41, 429–444.
   Web of Science ®Google Scholar
• Rao, G.P., & Unbehauen, H. (2006). Identification of continuous-time systems. IEE Proceedings Control Theory & Applications, 153, 185–220.
   Google Scholar
• Riggs, D.J., & Bitmead, R.R. (2013). Rejection of aliased disturbances in a production pulsed light source. IEEE Transactions on Control Systems Technology, 21, 480–488.
   Web of Science ®Google Scholar
• Rijlaarsdam, D., Oomen, T., Nuij, P., Schoukens, J., & Steinbuch, M. (2012). Uniquely connecting frequency domain representations for given order polynomial Wiener-Hammerstein systems. Automatica, 48, 2381–2384.
   Web of Science ®Google Scholar
• Schönhoff, U., & Nordmann, R. (2002). A -weighting scheme for PID-like motion control. Presented at Proceedings of the 2002 Conference on Control Applications, Glasgow, Scotland, pp. 192–197.
   Google Scholar
• Schrama, R.J.P. (1992). Accurate identification for control: The necessity of an iterative scheme. IEEE Transactions on Automatic Control, 37, 991–994.
   Web of Science ®Google Scholar
• Skogestad, S., & Postlethwaite, I. (2005). Multivariable feedback control: Analysis and design (2nd ed.). West Sussex: John Wiley & Sons.
   Google Scholar
• Smith, R.S. (1998). Closed-loop identification of flexible structures: An experimental example. Journal of Guidance, Control, and Dynamics, 21, 435–440.
   Web of Science ®Google Scholar
• de Souza, C.E., & Goodwin, G.C. (1984). Intersample variances in discrete minimum variance control. IEEE Transactions on Automatic Control, 29, 759–761.
   Web of Science ®Google Scholar
• Steinbuch, M., & Norg, M.L. (1998). Advanced motion control: An industrial perspective. European Journal of Control, 4, 278–293.
   Web of Science ®Google Scholar
• Van den Hof, P.M.J., & Schrama, R.J.P. (1995). Identification and control – closed-loop issues. Automatica, 31, 1751–1770.
   Web of Science ®Google Scholar
• van de Wal, M., van Baars, G., Sperling, F., & Bosgra, O. (2002). Multivariable feedback control design for high-precision wafer stage motion. Control Engineering Practice, 10, 739–755.
   Web of Science ®Google Scholar
• Weller, S.R., Moran, W., Ninness, B., & Pollington, A.D. (2001). Sampling zeros and the Euler-Frobenius polynomials. IEEE Transactions on Automatic Control, 46, 340–343.
   Web of Science ®Google Scholar
• Yamamoto, Y. (1994). A function space approach to sampled data control systems and tracking problems. IEEE Transactions on Automatic Control, 39, 703–713.
   Web of Science ®Google Scholar
• Yamamoto, Y., & Khargonekar, P.P. (1996). Frequency response of sampled-data systems. IEEE Transactions on Automatic Control, 41, 166–176.
   Web of Science ®Google Scholar
• Young, P. (1998). Data-based mechanistic modeling of engineering systems. Journal of Vibration and Control, 4, 5–28.
   Web of Science ®Google Scholar