Unconstrained model predictive control and suboptimality estimates for nonlinear continuous-time systems

Barbalat, 1959, Systèmes d’équations différentielles d’oscillations nonlinéaires, Revue Roumaine de Mathématiques Pures et Appliquées, 4, 267 Graichen, 2010, Ein suboptimaler Ansatz zur schnellen modellprädiktiven Regelung nichtlinearer Systeme (a suboptimal approach to real-time model predictive control of nonlinear systems), At—Automatisierungstechnik, 58, 447, 10.1524/auto.2010.0860 Graichen, 2010, Stability and incremental improvement of suboptimal MPC without terminal constraints, IEEE Transactions on Automatic Control, 55, 2576, 10.1109/TAC.2010.2057912 Grimm, 2005, Model predictive control: for want of a local control Lyapunov function, all is not lost, IEEE Transactions on Automatic Control, 50, 546, 10.1109/TAC.2005.847055 Grüne, 2009, Analysis and design of unconstrained nonlinear MPC schemes for finite and infinite dimensional systems, SIAM Journal on Control and Optimization, 48, 1206, 10.1137/070707853 Grüne, 2011 Grüne, 2010, Analysis of unconstrained nonlinear MPC schemes with time-varying control horizon, SIAM Journal on Control and Optimization, 48, 4938, 10.1137/090758696 Grüne, 2008, On the infinite horizon performance of receding horizon controllers, IEEE Transactions on Automatic Control, 53, 2100, 10.1109/TAC.2008.927799 Grüne, L., von Lossow, M., Pannek, J., & Worthmann, K. (2010a). MPC: implications of a growth condition on exponentially controllable systems. In Proceedings of the 8th IFAC symposium on nonlinear control systems, NOLCOS 2010 (pp. 385–390). Grüne, 2010, NMPC suboptimality estimates for sampled-data continuous systems, 329 Hu, 2002, Toward infinite-horizon optimality in nonlinear model predictive control, IEEE Transactions on Automatic Control, 47, 679, 10.1109/9.995049 Jadbabaie, 2005, On the stability of receding horizon control with a general terminal cost, IEEE Transactions on Automatic Control, 50, 674, 10.1109/TAC.2005.846597 Jadbabaie, A., Yu, J., & Hauser, J. (1999). Stabilizing receding horizon control of nonlinear systems: a control Lyapunov function approach. In Proceedings of the American control conference (pp. 1535–1539). Jadbabaie, 2001, Unconstrained receding-horizon control of nonlinear systems, IEEE Transactions on Automatic Control, 46, 776, 10.1109/9.920800 Limon, D., Alamo, T., & Camacho, E.F. (2003). Stable constrained MPC without terminal constraint. In Proceedings of the American control conference (pp. 4893–4898). Limon, 2006, On the stability of constrained MPC without terminal constraint, IEEE Transactions on Automatic Control, 51, 832, 10.1109/TAC.2006.875014 Lincoln, 2006, Relaxing dynamic programming, IEEE Transactions on Automatic Control, 51, 1249, 10.1109/TAC.2006.878720 Mayne, 2000, Constrained model predictive control: stability and optimality, Automatica, 26, 789, 10.1016/S0005-1098(99)00214-9 Raff, T., Huber, S., Nagy, Z.K., & Allgöwer, F. (2006). Nonlinear model predictive control of a four tank system: an experimental stability study. In Proceedings of the IEEE conference on control applications (pp. 237–242). Rawlings, 2009 Reble, M., & Allgöwer, F. (2011). Unconstrained nonlinear model predictive control and suboptimality estimates for continuous-time systems. In Proceedings of the 18th IFAC world congress (pp. 6733–6738). Reble, M., Müller, M.A., & Allgöwer, F. (2011). Unconstrained model predictive control and suboptimality estimates for nonlinear time-delay systems. In Proceedings of the 50th IEEE conference on decision and control and European control conference (pp. 7599–7604). Tuna, S.E., Messina, M.J., & Teel, A.R. (2006). Shorter horizons for model predictive control. In Proceedings of the American control conference (pp. 863–868).