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Research Article

Tube model predictive control for a class of nonlinear discrete-time systems

ORCID Icon, , & | (Reviewing editor)
Article: 1629055 | Received 10 Jun 2019, Published online: 19 Jun 2019

References

  • Canale, M., & Milanese, M. (2003). Robust design of predictive controllers in presence of unmodeled dynamics. European Journal of Control, 9(5), 499–14. doi:10.3166/ejc.9.499-506
  • Chen, H., & Allgöwer, F. (1998). A quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability. Automatica, 34(10), 1205–1217. doi:10.1016/S0005-1098(98)00073-9
  • Chen, H., Gao, X., Wang, H., & Findeisen, R. (2007). On disturbance attenuation of nonlinear moving horizon control. In Lorenz T. Biegler (Ed.), Assessment and future directions of nonlinear model predictive control (pp. 283–294). New York: Springer-Verlag.
  • Chisci, L., Rossiter, J., & Zappa, G. (2001). Systems with persistent disturbances: Predictive control with restricted constraints. Automatica, 37, 1019–1028. doi:10.1016/S0005-1098(01)00051-6
  • Ghanavati, M., Salahshoor, K., Motlagh, M. R. J., Ramazani, A., & Moarefianpour, A. (2018). A novel combined approach for gas compressors surge suppression based on robust adaptive control and backstepping. Journal of Mechanical Science and Technology, 32(2), 823–833. doi:10.1007/s12206-018-0133-1
  • Goulart, P. J., Kerrigan, E. C., & Alamo, T. (2009). Control of constrained discrete-time systems with L2 bounded gain. IEEE Transactions on Automatic Control, 54(5), 1105–1111. doi:10.1109/TAC.2009.2013002
  • Gravdahl, J., & Egeland, O. (1999). Compressor surge and rotating stall: Modeling and control. London: Springer Verlag.
  • Grimm, G., Messina, M., Tuna, S., & Teel, A. (2003). Nominally robust model predictive control with state constraints. In 42nd IEEE Conference on Decision and Control. Maui, Hawaii.
  • Grimm, G., Messina, M. J., Tuna, S., & Teel, A. R. (2004). Examples when nonlinear model predictive control is nonrobust. Automatica, 40, 1729–1738. doi:10.1016/j.automatica.2004.04.014
  • Khalil, H. (2002). Nonlinear systems. New York: Prentice Hall.
  • Lee, J., & Yu, Z.-H. (1997). Worst-case formulations of model predictive control for systems with bounded parameters. Automatica, 33(5), 763–781. doi:10.1016/S0005-1098(96)00255-5
  • Limon, D., Alamo, T., & Camacho, E. (2002a). Stability analysis of systems with bounded additive uncertainties based on invariant sets: Stability and feasibility of MPC. In American control conference. Anchorage.
  • Limon, D., Alamo, T., & Camacho, E. (2002b). Input-to-state stable MPC for constrained discrete-time nonlinear systems with bounded additive uncertainties. In 41th IEEE Conf. Decision Contr. Las Vegas, Nevada USA.
  • Magni, L., De Nicolao, G., & Scattolini, R. (1998). Output feedback recedinghorizon control of discrete-time nonlinear systems. In 4th IFAC NOLCOS. Oxford, UK.
  • Magni, L., De Nicolao, G., Scattolini, R., & Allgower, F. (2003). Robust model predictive control for nonlinear discrete-time systems. International Journal of Robust and Nonlinear Control, 13, 229–246. doi:10.1002/rnc.815
  • Mayne, D., Rawlings, J., Scokaert, P., & Rao, C. (2000). Constrained model predictive control: Stability and optimality. Automatica, 36(6), 789–814. doi:10.1016/S0005-1098(99)00214-9
  • Mayne, D. Q., & Langson, W. (2001). Robustifying model predictive control of constrained linear systems. Electronics Letters, 37(23), 1422–1423. doi:10.1049/el:20010951
  • Qin, S., & Badgwell, T. (2003). A survey of industrial model predictive control technology. Control Engineering Practice, 11(7), 733–763. doi:10.1016/S0967-0661(02)00186-7
  • Raimondo, D., Limon, D., Lazar, M., Magni, L., & Camacho, E. (2009). Min-max model predictive control of nonlinear systems: A unifying overview on stability. European Journal of Control, 15(1), 5–27. doi:10.3166/ejc.15.5-21
  • Raković, S. V. (2012). Invention of prediction structures and categorization of. In 4th IFAC Nonlinear Model Predictive control, Noordwijkerhout, The Netherlands.
  • Scokaert, P., Rawlings, J., & Meadows, E. (1997). Discrete-time stability with perturbations: Application to model predictive control. Automatica, 33(3), 463–470. doi:10.1016/S0005-1098(96)00213-0
  • Ziabari, M. T., Jahed-Motlagh, M. R., Salahshoor, K., Ramezani, A., & Moarefianpuor, A. (2017). Robust adaptive control of surge instability in constant speed centrifugal compressors using tube-MPC. Cogent Engineering, 4, 1339335.