Event-Triggered Adaptive Horizon Model Predictive Control for Perturbed Nonlinear Systems

This paper proposes a new event-triggered adaptive horizon model predictive control for discrete-time nonlinear systems with additive disturbance. With the event-triggered control scheme, the optimization problem is solved only at triggering instant and the event is triggered if the difference between the actual state and the predicted state exceeds the triggering threshold. The triggering threshold depends on the prediction horizon and becomes larger as the state approaches the terminal constraint set. Therefore, larger triggering intervals can then be obtained. Finally, a numerical example shows the effectiveness of the proposed scheme.

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

[2]  Yuanqing Xia,et al.  Robust Self-Triggered MPC With Adaptive Prediction Horizon for Perturbed Nonlinear Systems , 2019, IEEE Transactions on Automatic Control.

[3]  Jian Sun,et al.  Input-to-State Stability of Perturbed Nonlinear Systems With Event-Triggered Receding Horizon Control Scheme , 2019, IEEE Transactions on Industrial Electronics.

[4]  Yu Kang,et al.  A Novel Self-Triggered MPC Scheme for Constrained Input-Affine Nonlinear Systems , 2021, IEEE Transactions on Circuits and Systems II: Express Briefs.

[5]  Lorenz T. Biegler,et al.  Robustly stable adaptive horizon nonlinear model predictive control , 2018, Journal of Process Control.

[6]  Harish K. Pillai,et al.  Discrete Time Formulation of Quasi Infinite Horizon Nonlinear Model Predictive Control Scheme with Guaranteed Stability , 2017 .

[7]  Demin Xu,et al.  Aperiodic Robust Model Predictive Control for Constrained Continuous-Time Nonlinear Systems: An Event-Triggered Approach , 2018, IEEE Transactions on Cybernetics.

[8]  Yu Kang,et al.  Networked Dual-Mode Adaptive Horizon MPC for Constrained Nonlinear Systems , 2020 .

[9]  Ning He,et al.  Event-Based Robust Sampled-Data Model Predictive Control: A Non-Monotonic Lyapunov Function Approach , 2015, IEEE Transactions on Circuits and Systems I: Regular Papers.

[10]  Dimos V. Dimarogonas,et al.  Novel event-triggered strategies for Model Predictive Controllers , 2011, IEEE Conference on Decision and Control and European Control Conference.

[11]  Huiping Li,et al.  Event-triggered robust model predictive control of continuous-time nonlinear systems , 2014, Autom..

[12]  Eduardo F. Camacho,et al.  Robust MPC of constrained discrete-time nonlinear systems based on uncertain evolution sets: application to a CSTR model , 2002, Proceedings of the International Conference on Control Applications.

[13]  Dimos V. Dimarogonas,et al.  Event-triggered intermittent sampling for nonlinear model predictive control , 2017, Autom..