Stability and feasibility of state constrained MPC without stabilizing terminal constraints
Tài liệu tham khảo
Jadbabaie, 2005, On the stability of receding horizon control with a general terminal cost, IEEE Trans. Automat. Control, 50, 674, 10.1109/TAC.2005.846597
Grimm, 2005, Model predictive control: for want of a local control Lyapunov function, all is not lost, IEEE Trans. Automat. Control, 50, 546, 10.1109/TAC.2005.847055
S.E. Tuna, M.J. Messina, A.R. Teel, Shorter horizons for model predictive control, in: Proceedings of the American Control Conference, Minneapolis, Minnesota, USA, 2006, pp. 863–868.
Grüne, 2009, Analysis and design of unconstrained nonlinear MPC schemes for finite and infinite dimensional systems, SIAM J. Control Optim., 48, 1206, 10.1137/070707853
Grüne, 2010, Analysis of unconstrained nonlinear MPC schemes with varying control horizon, SIAM J. Control Optim., 48, 4938, 10.1137/090758696
Grüne, 2011
Worthmann, 2011
Primbs, 2000, Feasibility and stability of constrained finite receding horizon control, Automatica, 36, 965, 10.1016/S0005-1098(00)00004-2
Gondhalekar, 2009, Controlled invariant feasibility—a general approach to enforcing strong feasibility in MPC applied to move-blocking, Automatica, 45, 2869, 10.1016/j.automatica.2009.09.020
Kerrigan, 2000
T. Raff, S. Huber, Z.K. Nagy, F. Allgöwer, Nonlinear model predictive control of a four tank system: an experimental stability study, in: Proceedings of the IEEE Conference on Control Applications, Munich, Germany, 2006, pp. 237–242.
Mayne, 2013, An apologia for stabilising terminal conditions in model predictive control, Internat. J. Control, 86, 2090, 10.1080/00207179.2013.813647
Blanchini, 2008
L. Grüne, NMPC without terminal constraints, in: Proceedings of the IFAC Conference on Nonlinear Model Predictive Control 2012, NMPC’12, 2012, pp. 1–13.
Aubin, 1990, vol. 2
Hinrichsen, 2005, vol. 48
Quincampoix, 1992, Differential inclusions and target problems, SIAM J. Control Optim., 30, 324, 10.1137/0330020
A. Boccia, L. Grüne, K. Worthmann, Stability and feasibility of state-constrained linear MPC without stabilizing terminal constraints, in: Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS2014, 2014, pp. 453–460.
Brezis, 2011