Asymptotic stability and transient optimality of economic MPC without terminal conditions

Journal of Process Control - Tập 24 - Trang 1187-1196 - 2014
Lars Grüne1, Marleen Stieler1
1Mathematical Institute, University of Bayreuth, 95440 Bayreuth, Germany

Tài liệu tham khảo

Amrit, 2011, Economic optimization using model predictive control with a terminal cost, Ann. Rev. Control, 35, 178, 10.1016/j.arcontrol.2011.10.011 Anderson, 1990 Angeli, 2012, On average performance and stability of economic model predictive control, IEEE Trans. Autom. Control, 57, 1615, 10.1109/TAC.2011.2179349 Brock, 1972, Optimal economic growth and uncertainty: the discounted case, J. Econ. Theory, 4, 479, 10.1016/0022-0531(72)90135-4 Damm, 2014, An exponential turnpike theorem for dissipative discrete time optimal control problems, SIAM J. Control Optim., 10.1137/120888934 Diehl, 2011, A Lyapunov function for economic optimizing model predictive control, IEEE Trans. Autom. Control, 56, 703, 10.1109/TAC.2010.2101291 Fagiano, 2013, Generalized terminal state constraints for model predictive control, Automatica, 49, 2622, 10.1016/j.automatica.2013.05.019 Grüne, 2013, Economic receding horizon control without terminal constraints, Automatica, 49, 725, 10.1016/j.automatica.2012.12.003 Grüne, 2011 Heidarinejad, 2012, Economic model predictive control of nonlinear process systems using Lyapunov techniques, AIChE J., 58, 855, 10.1002/aic.12672 Müller, 2012, Robustness of steady-state optimality in economic model predictive control, 1011 Porretta, 2013, Long time versus steady state optimal control, SIAM J. Control Optim., 51, 4242, 10.1137/130907239 Sontag, 1998