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Original Articles

Multimodel repetitive–predictive control of nonlinear systems: rejection of unknown non-stationary sinusoidal disturbances

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Pages 1478-1494 | Received 10 Jul 2015, Accepted 04 Jul 2016, Published online: 05 Aug 2016

References

  • Allaoui, M., Messaoud, A., & Ben Abdennour, R. (2014). Robust design of non-stationary sinusoidal unknown inputs multiobserver based on decoupled state multimodel. In 15th IEEE International conference on Sciences and Techniques of Automatic Control & Computer Engineering (pp. 1067–1073). Hammamet: IEEE.
  • Allaoui, M., Messaoud, A., & Ben Abdennour, R. (2015). Robustness enhancement of proportional Q-integral multiobserver in the case of non-stationary sinusoidal unknown inputs. In 12th IEEE International Multi-Conference on Systems, Signals & Devices (pp. 1–9). Mahdia: IEEE.
  • Allaoui, M., Messaoud, A., Ltaief, M., & Ben Abdennour, R. (2014). Nonstationary sinusoidal unknown inputs multiobserver for discrete-time nonlinear systems. International Journal of Sciences and Techniques of Automatic Control & Computer Engineering, 8(1), 1932–1949.
  • Bahri, N., Atig, A., Ben Abdennour, R., Druaux, F., & Lefebvre, D. (2015). Multivariable adaptive neural control based on multimodel emulator for nonlinear square MIMO systems. Transactions on Systems, Signals & Devices, 10(1), 1–20.
  • Balakrishnan, J. (1996). Control system design using multiple models, switching and tuning. Ph.D. Thesis, Yale University, New Haven.
  • Ben Abdennour, R., Borne, P., Ksouri, M., & M'sahli, F. (2001). Identification and numerical control of industrial processes, Paris: Technip.
  • Bittanti, S., & Savaresi, S.M. (2000). Frequency tracking via extended Kalman filter: arameter design. In Proceedings of the American Control Conference (pp. 2225–2229). Chicago, IL: IEEE.
  • Bodson, M. (2005). Rejection of periodic disturbances of unknown and time varying frequency. International Journal of Adaptive Control and Signal Processing, 19, 2–3, 67–88.
  • Clarke, D. W., Mohtadi, C., & Tuffs, P.S. (1987). Generalized predictive control-part I. The basic algorithm. Automatica, 23(2), 137–148.
  • Dehri, K., Ltaief, M., Nouri, A.S., & Ben Abdennour, R. (2011). Rejection of periodic disturbances with unknown frequency for multivariable systems. International Journal of Sciences and Techniques of Automatic Control & Computer Engineering, 5(1), 1458–1471.
  • Filev, D. (1991). Fuzzy modeling of complex systems. International Journal of Approximate Reasoning, 5(3), 281–290.
  • Francis, B.A., & Wonham, W.M. (1976). The internal model principle of control theory. Automatica, 12(5), 457–465.
  • Garcia, C.E., Prett, D.M., & Morari, M. (1989). Model predictive control: Theory and practise – a survey. Automatica, 25(3), 335–348.
  • Guo, X., & Bodson, M. (2007). Adaptive rejection of multiple sinusoids of unknown frequency. In Proceeding of the European Control Conference, 121–128, IEEE, Kos.
  • Hamdi, H., Rodrigues, M., Mechmeche, C., Theilliol, D., & Braiek, N.B. (2012). Fault detection and isolation in linear parameter-varying descriptor systems via proportional integral observer. International Journal of Adaptative Control and Signal Processing, 26(3), 224–240.
  • Hsu, L., Ortega, R., & Damm, G. (1999). A globally convergent frequency estimator. IEEE Transactions on Automatic Control, 44(4), 698–713.
  • Huijberts, H.J.C., Lilge, T., & Nijmeijer, H. (2001). Nonlinear discrete-time synchronization via extended observers. International Journal of Bifurcation and Chaos, 11(7), 1997–2001.
  • Ichalal, D., Marx, B., Ragot, J., & Maquin, D. (2008). Unknown input Multi-observers for Takagi-Sugeno system with immeasurable premise variables. In 5th International Francophone Conference of Automatic, CIFA Bucharest, Romania.
  • Ichalal, D., Marx, B., Ragot, J., & Maquin, D. (2009). Simultaneous state and unknown input estimation with PI and PMI observers for Takagi–Sugeno model with unmeasurable premise variables. In 17th IEEE Mediterranean Conference on Control and Automation, MED09, 353–358, IEEE, Thessaloniki.
  • Jiang, G.P., Wang, S.P., & Song, W.Z. (2000). Design of observer with integrators for linear systems with unknown input disturbances. Electronics Letters, 36(13), 1168–1169.
  • Khémiri, K., Hmida, F.B., Ragot, J., & Gossa, M. (2010). Proportional multi-integral observer for linear systems with unknown inputs. In 6th International Francophone Conference of Automatic, CIFA, Nancy, France.
  • Kiss, A.N. (2010). Analysis and Synthesis of multimodels for diagnosis. Application to a treatment plant. Ph.D. Thesis, National Polytechnic Institute of Lorraine, Nancy University, France.
  • Landau, I.D. (1999). From robust control to adaptive control. Control Engineering Practise, 7(10), 1113–1124.
  • Li, G. (1997). A stable and efficient adaptive notch filter for direct frequency estimator. IEEE Transactions on Signal Processing, 45(8), 2001–2009.
  • Liu, R.J., Liu, G.P., Wu, M., She, J., & Nie, Z.Y. (2014). Robust disturbances rejection in modified repetitive control system. Systems & Control Letters, 70, 100–108.
  • Ltaief, M., Messaoud, A., & Ben Abdennour, R. (2014). Optimal systematic determination of models’ base for multimodel representation: real time application. International Journal of Automation and Computing, 11(6), 644–652.
  • Manayathara, T.J., Tsao, T.C., Bentsman, J., & Ross, D. (1996). Rejection of unknown periodic load disturbances in continuous steel casting process using learning repetitive control approach. IEEE Transactions on Control Systems Technology, 4(3), 259–265.
  • Messaoud, A., Ltaief, M., & Ben Abdennour, R. (2010a). A new contribution of an uncoupled state multimodel predictive control: Experimental validation on a chemical reactor. International Review of Automatic Control, 3(5), 550–559.
  • Messaoud, A., Ltaief, M., & Ben Abdennour, R. (2010b). Supervision based on a multipredictor for an uncoupled state multimodel predictive control. In the 6th international conference on electrical systems and automatic control, JTEA'2010 , 17–25, IEEE, Hammamet, Tunisia.
  • Narendra, K.S., & Annaswamy, A.M. (1989). Stable adaptive systems. Mineola, NY: Dover Publications.
  • Narendra, K.S., & Balakrishnan, J. (1997). Adaptive control using multiple models. IEEE Transaction on Automatic Control, 42(2), 171–187.
  • Orjuela, R. (2008). Contribution to the state and diagnosis of systems represented by multimodels. Ph. D. Thesis, National Polytechnic Institute of Lorraine, Nancy University, France.
  • Orjuela, R., Marx, B., Ragot, J., & Maquin, D. (2008a). Estimating the state and the unknown inputs of nonlinear systems using a multiple model approach. In 16th Mediterranean Conference on Control and Automation, MED'2009, 1375–1380, IEEE, Ajaccio.
  • Orjuela, R., Marx, B., Ragot, J., & Maquin, D. (2008b). On the simultaneaous state and unknown input estimation of complex systems via a multiple model strategy. Control Theory and Applications, 3(7), 877–890.
  • Orjuela, R., Marx, B., Ragot, J., & Maquin, D. (2009). State estimation of nonlinear systems based on heterogeneous multiple models: some recent theoretical results. In 7th Workshop on Advanced Control and Diagnosis, ADC''2009, Zielona Gora.
  • Pagès, O. (2001). Investigation and comparison of different multi-controllers control structures. Ph. D. Thesis, Savoie University, Chambéry, France.
  • Romdhane, I., Elkhalil, M., & Ben Abdennour, R. (2010). Multiple harmonic disturbances rejection using a new supervision procedure. International Journal of Sciences and Techniques of Automatic Control & Computer Engineering, 4(1), 1232–1245.
  • Savran, A. (2013). Discrete state space modeling and control of nonlinear unknown systems. ISA Transactions, 52(6), 795–806.
  • Scala, B.F.L., & Bitmead, R.R. (1994). Design of an extended Kalman filter frequency tracker. In International Conference on Acoustic, Speech and Signal Processing, 525–527, IEEE, Adelaide, SA.
  • Stensby, J. (1997). Phase locked loops: Theory and applications. Boca Raton: CRC Press.
  • Kootsookos, P.J. (1993). A review of the frequency estimation and tracking problems ( Technical Report). Sysytems Engineering Department, Australian National University, Australia.
  • Takagi, T., & Sugeno, M. (1985). Fuzzy identification of systems and its applications to modeling and control. IEEE Transactions on Systems, Man, and Cybernetics, 15(1), 116–132.
  • Tanaka, K., & Sano, M. (1994). A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer. IEEE Transactions on Fuzzy Systems, 2(2), 119–134.
  • Wang, L., Chai, S., & Rogers, E. (2010a). On structure selection for multivariable repetitive predictive controllers. In 49th IEEE Conference on Decision and Control, 6973–6978. IEEE, Atlanta, GA.
  • Wang, L., Chai, S., & Rogers, E. (2010b). Predictive repetitive control based on frequency decomposition. In the Proceedings of the American Control Conference, 4277–4282, IEEE, Baltimore, MD.
  • Wang, L., Chai, S., Rogers, E., & Freeman, T. (2012). Multivariable repetitive-predictive controllers using frequency decomposition. IEEE Transactions on Control Systems Technology, 20(6), 1597–1604.
  • Wang, L., Freeman, C.T., Chai, S., & Rogers, E. (2011). Multivarable repetitive-predictive control of a robot arm with experimental results. In the International Federation of Automatic Control (IFAC'2011), 7672–7677. The Proccedings of the 18th world congress, Milano, Italy.
  • Wang, L., & Gan, L. (2013). Gain scheduled continuous-time model predictive controller with experimental validation on AC machine. International Journal of Control, 86(8), 1438–1452.
  • Wang, L., Gowthrop, P., Owens, D.H., & Rogers, E. (2010). Switched linear model predictive controllers for periodic exogenous signals. International Journal of Control, 83(4), 848–861.
  • Wu, B., & Bodson, M. (2003). A magnitude/phase-locked loop approach to parameter estimation of periodic signals. IEEE Transaction on Automatic Control, 48(4), 612–618.
  • Wu, M., Xu, B., Cao, W., & She, J. (2014). Aperiodic disturbances rejection in repetitive-control systems. IEEE Transactions on Control Systems Technology, 22(3), 1044–1051.
  • Xiao, M., Kazantzis, N., Kravaris, C., & Krener, A.J. (2003). Nonlinear discrete-time observer design with linearizable error dynamics. IEEE Transactions on Automatic Control, 48(4), 622–626.

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