Iterative Learning Economic Model Predictive Control

An iterative learning based economic model predictive controller (ILEMPC) is proposed for iterative tasks in this paper. Without assuming the pattern of the initial feasible trajectory, the proposed control algorithm can handle different types of control objectives: stabilization, tracking a periodic trajectory and so on. The controller could learn from the previous closed-loop trajectory and the interested performance index is always no worse than the previous one. Numerical examples show that the proposed control strategy works well for different types of control task and systems.

[1]  Jay H. Lee,et al.  Convergence of constrained model-based predictive control for batch processes , 2000, IEEE Trans. Autom. Control..

[2]  Moritz Diehl,et al.  A Lyapunov Function for Economic Optimizing Model Predictive Control , 2011, IEEE Transactions on Automatic Control.

[3]  Francesco Borrelli,et al.  Stochastic Model Predictive Control for Building HVAC Systems: Complexity and Conservatism , 2015, IEEE Transactions on Control Systems Technology.

[4]  Leopoldo G. Franquelo,et al.  Model Predictive Control: A Review of Its Applications in Power Electronics , 2014, IEEE Industrial Electronics Magazine.

[5]  David Q. Mayne,et al.  Constrained model predictive control: Stability and optimality , 2000, Autom..

[6]  David Q. Mayne,et al.  Model predictive control: Recent developments and future promise , 2014, Autom..

[7]  Panagiotis D. Christofides,et al.  On finite-time and infinite-time cost improvement of economic model predictive control for nonlinear systems , 2014, Autom..

[8]  Jay H. Lee,et al.  ITERATIVE LEARNING CONTROL APPLIED TO BATCH PROCESSES: AN OVERVIEW , 2006 .

[9]  Tariq Samad,et al.  A Survey on Industry Impact and Challenges Thereof [Technical Activities] , 2017, IEEE Control Systems.

[10]  Jay H. Lee,et al.  Model-based iterative learning control with a quadratic criterion for time-varying linear systems , 2000, Autom..

[11]  Farrokh Janabi-Sharifi,et al.  Theory and applications of HVAC control systems – A review of model predictive control (MPC) , 2014 .

[12]  Xiaobing Kong,et al.  Nonlinear fuzzy model predictive iterative learning control for drum-type boiler–turbine system , 2013 .

[13]  Se-Kyu Oh,et al.  Iterative learning model predictive control for constrained multivariable control of batch processes , 2016, Comput. Chem. Eng..

[14]  D. Mayne,et al.  Receding horizon control of nonlinear systems without differentiability of the optimal value function , 1991 .

[15]  M Morari,et al.  Energy efficient building climate control using Stochastic Model Predictive Control and weather predictions , 2010, Proceedings of the 2010 American Control Conference.

[16]  David Angeli,et al.  On Average Performance and Stability of Economic Model Predictive Control , 2012, IEEE Transactions on Automatic Control.

[17]  S. Joe Qin,et al.  Application of economic MPC to the energy and demand minimization of a commercial building , 2014 .

[18]  Lorenz T. Biegler,et al.  On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming , 2006, Math. Program..

[19]  Colin Neil Jones,et al.  Stochastic MPC Framework for Controlling the Average Constraint Violation , 2014, IEEE Transactions on Automatic Control.

[20]  A.G. Alleyne,et al.  A survey of iterative learning control , 2006, IEEE Control Systems.

[21]  S. Joe Qin,et al.  A survey of industrial model predictive control technology , 2003 .

[22]  H. Michalska,et al.  Receding horizon control of nonlinear systems , 1988, Proceedings of the 28th IEEE Conference on Decision and Control,.

[23]  Jay H. Lee,et al.  Model predictive control technique combined with iterative learning for batch processes , 1999 .

[24]  Francesco Borrelli,et al.  Learning Model Predictive Control for Iterative Tasks. A Data-Driven Control Framework , 2016, IEEE Transactions on Automatic Control.

[25]  J. R. Cueli,et al.  Iterative nonlinear model predictive control. Stability, robustness and applications , 2008 .

[26]  Vicenç Puig,et al.  Non-linear economic model predictive control of water distribution networks , 2017 .