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Original Articles

An apologia for stabilising terminal conditions in model predictive control

Pages 2090-2095 | Received 31 Oct 2012, Accepted 05 Jun 2013, Published online: 01 Aug 2013

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Wen-Hua Chen. (2022) Stability of finite horizon optimisation based control without terminal weight. International Journal of Systems Science 53:16, pages 3524-3537.
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Tito L. M. Santos. (2018) Modified reference tracking MPC for constrained linear systems. International Journal of Systems Science 49:8, pages 1674-1684.
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Ayorinde Bamimore. (2023) Laguerre function-based quasi-infinite horizon nonlinear model predictive control. International Journal of Dynamics and Control 11:5, pages 2380-2397.
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Saskia Dietze & Martin A. Grepl. (2023) Reduced order model predictive control for parametrized parabolic partial differential equations. Applied Mathematics and Computation 453, pages 128044.
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Saša V. Raković & Sixing Zhang. (2023) Model predictive control with implicit terminal ingredients. Automatica 151, pages 110942.
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Kerianne L. Hobbs, Mark L. Mote, Matthew C.L. Abate, Samuel D. Coogan & Eric M. Feron. (2023) Runtime Assurance for Safety-Critical Systems: An Introduction to Safety Filtering Approaches for Complex Control Systems. IEEE Control Systems 43:2, pages 28-65.
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Davi A. Santos & Constantino M. Lagoa. (2022) Wayset-based guidance of multirotor aerial vehicles using robust tube-based model predictive control. ISA Transactions 128, pages 123-135.
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Seyyed Ali Emami, Paolo Castaldi & Afshin Banazadeh. (2022) Neural network-based flight control systems: Present and future. Annual Reviews in Control 53, pages 97-137.
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Mircea Lazar. (2021) Stabilization of discrete–time nonlinear systems based on control dissipation functions. Stabilization of discrete–time nonlinear systems based on control dissipation functions.
Zhongxian Xu, Lile He, Ning He & Botao Bai. (2021) A quasi‐differential type event‐triggered model predictive control for perturbed continuous linear systems with constraints. IET Control Theory & Applications 15:18, pages 2334-2343.
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Yingjie Hu, Linfeng Gou, Ding Fan, Herbert Ho‐Ching Iu, Tyrone Fernando & Xinan Zhang. (2021) An adaptive model predictive control strategy for a class of discrete‐time linear systems with parametric uncertainty. International Journal of Adaptive Control and Signal Processing 35:12, pages 2389-2405.
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Zhongxian Xu, Ning He, Lile He & Yuxiang Li. (2021) A Gradient-based Event-Triggered MPC for Perturbed Linear Systems: Control Performance and Safety Analysis. A Gradient-based Event-Triggered MPC for Perturbed Linear Systems: Control Performance and Safety Analysis.
Huahui Xie, Li Dai, Yu Luo & Yuanqing Xia. (2021) Robust MPC for disturbed nonlinear discrete-time systems via a composite self-triggered scheme. Automatica 127, pages 109499.
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Seyyed Ali Emami & Afshin Banazadeh. (2021) Simultaneous trajectory tracking and aerial manipulation using a multi-stage model predictive control. Aerospace Science and Technology 112, pages 106573.
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Guanru Pan, Gösta Stomberg, Alexander Engelmann & Timm Faulwasser. (2021) First Results on Turnpike Bounds for Stabilizing Horizons in NMPC. IFAC-PapersOnLine 54:6, pages 153-158.
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Rie B. Larsen, Bilge Atasoy & Rudy R. Negenborn. (2021) Model predictive control for simultaneous planning of container and vehicle routes. European Journal of Control 57, pages 273-283.
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Johannes Köhler, Matthias A. Müller & Frank Allgöwer. (2020) A nonlinear tracking model predictive control scheme for dynamic target signals. Automatica 118, pages 109030.
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Artemi Makarow, Christoph Rosmann & Torsten Bertram. (2020) Single Degree of Freedom Model Predictive Control with Variable Horizon. Single Degree of Freedom Model Predictive Control with Variable Horizon.
Bernardo P.M. Silva, Bruno A. Santana, Tito L.M. Santos & Márcio A.F. Martins. (2020) An implementable stabilizing model predictive controller applied to a rotary flexible link: An experimental case study. Control Engineering Practice 99, pages 104396.
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Seyyed Ali Emami & Afshin Banazadeh. (2020) Fault‐tolerant predictive trajectory tracking of an air vehicle based on acceleration control. IET Control Theory & Applications 14:5, pages 750-762.
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Seyyed Ali Emami & Afshin Banazadeh. (2019) Intelligent trajectory tracking of an aircraft in the presence of internal and external disturbances. International Journal of Robust and Nonlinear Control 29:16, pages 5820-5844.
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Pablo Rodolfo Baldivieso Monasterios & Paul Anthony Trodden. (2019) Model Predictive Control of Linear Systems With Preview Information: Feasibility, Stability, and Inherent Robustness. IEEE Transactions on Automatic Control 64:9, pages 3831-3838.
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Rie B. Larsen, Bilge Atasoy & Rudy R. Negenbom. (2019) Simultaneous Planning of Container and Vehicle-Routes Using Model Predictive Control. Simultaneous Planning of Container and Vehicle-Routes Using Model Predictive Control.
David Q. Mayne & Paola Falugi. (2018) Stabilizing conditions for model predictive control. International Journal of Robust and Nonlinear Control 29:4, pages 894-903.
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Oleksii Zhuchenko. (2019) УПРАВЛІННЯ ДИНАМІЧНИМИ ОБ’ЄКТАМИ З РОЗПОДІЛЕНИМИ ПАРАМЕТРАМИ З ВИКОРИСТАННЯМ ПРОГНОЗУЮЧИХ МОДЕЛЕЙ. TECHNICAL SCIENCES AND TECHNOLOGIES:1 (15), pages 172-180.
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Mircea Lazar & Martin Tetteroo. (2018) Computation of terminal costs and sets for discrete–time nonlinear MPC. IFAC-PapersOnLine 51:20, pages 141-146.
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Lars Gr?ne & J?rgen PannekLars Gr?ne & J?rgen Pannek. 2017. Nonlinear Model Predictive Control. Nonlinear Model Predictive Control 177 219 .
Sasa V. Rakovic, William S. Levine & Behcet Acikmese. (2016) Continuously generalized model predictive control. Continuously generalized model predictive control.
Bernardo Hernandez & Paul Trodden. (2016) Persistently exciting tube MPC. Persistently exciting tube MPC.
Sasa V. Rakovic, William S. Levine & Behcet Acikmese. (2016) Discretely generalized model predictive control. Discretely generalized model predictive control.
Lars Grüne. (2016) Approximation Properties of Receding Horizon Optimal Control. Jahresbericht der Deutschen Mathematiker-Vereinigung 118:1, pages 3-37.
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David Mayne. (2016) Robust and stochastic model predictive control: Are we going in the right direction?. Annual Reviews in Control 41, pages 184-192.
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Mircea Lazar & Veaceslav Spinu. (2015) Finite-step Terminal Ingredients for Stabilizing Model Predictive Control. IFAC-PapersOnLine 48:23, pages 9-15.
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D.Q. Mayne. (2015) Robust and Stochastic MPC: Are We Going In The Right Direction?. IFAC-PapersOnLine 48:23, pages 1-8.
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Abhishek Dutta, Edward Hartley, Jan Maciejowski & Robin De Keyser. (2014) Certification of a class of industrial predictive controllers without terminal conditions. Certification of a class of industrial predictive controllers without terminal conditions.
David Q. Mayne. (2014) Model predictive control: Recent developments and future promise. Automatica 50:12, pages 2967-2986.
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Andrea Boccia, Lars Gr?ne & Karl Worthmann. (2014) Stability and feasibility of state constrained MPC without stabilizing terminal constraints. Systems & Control Letters 72, pages 14-21.
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