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International Journal of Control Volume 83, 2010 - Issue 2
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Original Articles

Interpolation methods in model predictive control: an overview

J.A. Rossiter Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UKCorrespondence[email protected]
&
Y. Ding Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK
Pages 297-312 | Received 15 Oct 2008, Accepted 27 Jun 2009, Published online: 11 Nov 2009

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Sheila Scialanga, Sorin Olaru & Konstantinos Ampountolas. (2023) Reduced-complexity interpolating control with periodic invariant sets. International Journal of Control 96:3, pages 757-769.
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Sang Hwan Son, Byung Jun Park, Tae Hoon Oh, Jong Woo Kim & Jong Min Lee. (2021) Move blocked model predictive control with guaranteed stability and improved optimality using linear interpolation of base sequences. International Journal of Control 94:11, pages 3213-3225.
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Jianbo Lu, Yugeng Xi, Dewei Li, Yuli Xu & Zhongxue Gan. (2018) Model predictive control design for polytopic uncertain systems by synthesising multi-step prediction scenarios. International Journal of Systems Science 49:2, pages 344-357.
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Articles from other publishers (25)

Eva Masero, José M. Maestre, José R. Salvador, Daniel R. Ramirez & Quanyan Zhu. (2023) Robust data-based predictive control of systems with parametric uncertainties: Paving the way for cooperative learning. Journal of Process Control 132, pages 103109.
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Mohsen Hadian, Amin Ramezani & Wenjun Zhang. (2022) An interpolation-based model predictive controller for input–output linear parameter varying systems. International Journal of Dynamics and Control 10:5, pages 1539-1552.
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Chuanliang Cheng, Chen Peng, Deliang Zeng, Yusen Gang & Hanyu Mi. (2021) An Improved Neuro-fuzzy Generalized Predictive Control of Ultra-supercritical Power Plant. Cognitive Computation 13:6, pages 1556-1563.
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Sixing Zhang, Li Dai, Yulong Gao & Yuanqing Xia. (2020) Adaptive interpolating control for constrained systems with parametric uncertainty and disturbances. International Journal of Robust and Nonlinear Control 30:16, pages 6838-6852.
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Florin Stîngă, Marius Marian & Dan Selișteanu. (2020) Robust Estimation-Based Control Strategies for Induction Motors. Complexity 2020, pages 1-14.
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Markus Kogel & Rolf Findeisen. (2020) Robust MPC with Reduced Conservatism Blending Multiples Tubes. Robust MPC with Reduced Conservatism Blending Multiples Tubes.
Josue Enríquez‐Zárate, Guillermo Valencia‐Palomo, Francisco‐Ronay López‐Estrada, Gerardo Silva‐Navarro & José Antonio Hoyo‐Montaño. (2019) Efficient predictive vibration control of a building‐like structure. Asian Journal of Control 22:4, pages 1411-1421.
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Daniel Rubin, Pedro Mercader, Per-Olof Gutman, Hoai-Nam Nguyen & Alberto Bemporad. (2020) Interpolation based predictive control by ellipsoidal invariant sets. IFAC Journal of Systems and Control 12, pages 100084.
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Changxin Liu, Huiping Li, Yang Shi & Demin Xu. (2020) Codesign of Event Trigger and Feedback Policy in Robust Model Predictive Control. IEEE Transactions on Automatic Control 65:1, pages 302-309.
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Markus Kögel & Rolf Findeisen. (2020) Fusing multiple time varying tubes for robust MPC. IFAC-PapersOnLine 53:2, pages 7055-7062.
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Sheila Scialanga, Sorin Olaru & Konstantinos Ampountolas. (2020) Decentralised Interpolating Control: A Periodic Invariance Approach. IFAC-PapersOnLine 53:2, pages 5635-5640.
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Yong-Lin Kuo & Ilmiyah Elrosa Citra Resmi. (2018) Model Predictive Control Based on a Takagi–Sugeno Fuzzy Model for Nonlinear Systems. International Journal of Fuzzy Systems 21:2, pages 556-570.
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Sadegh Jalili, Behrooz Rezaie & Zahra Rahmani. (2018) A novel hybrid model predictive control design with application to a quadrotor helicopter. Optimal Control Applications and Methods 39:4, pages 1301-1322.
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Pedro Mercader, Daniel Rubin, Hoai-Nam Nguyen, Alberto Bemporad & Per-Olof Gutman. (2018) Simple Interpolating Control. IFAC-PapersOnLine 51:25, pages 42-47.
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Daniel Rubin, Pedro Mercader, Hoai-Nam Nguyen, Per-Olof Gutman & Alfonso Baños. (2017) Improvements on Interpolation Techniques based on Linear Programming for Constrained Control * *The first author acknowledges gratefully the support from the Technion – Israel Institute of Technology, in co-operation with General Motors Company under project GAC1761. The second and fifth authors acknowledge gratefully the support from the Spanish government under project DPI2013-47100-C2-1-P (including FEDER co-funding) and an FPU grant (FPU12/01026).. IFAC-PapersOnLine 50:1, pages 1403-1408.
Crossref
B. Khan, G. Valencia-Palomo, J. A. Rossiter, C. N. Jones & R. Gondhalekar. (2016) Long horizon input parameterisations to enlarge the region of attraction of MPC. Optimal Control Applications and Methods 37:1, pages 139-153.
Crossref
Zhi-jun Li, Qiong Liu & Yao Mao. The study of control methods in opto-electronic tracking technology for fast object with horizontal gimbal. The study of control methods in opto-electronic tracking technology for fast object with horizontal gimbal.
R.C. Gutiérrez-Urquídez, G. Valencia-Palomo, O.M. Rodríguez-Elias & L. Trujillo. (2015) Systematic selection of tuning parameters for efficient predictive controllers using a multiobjective evolutionary algorithm. Applied Soft Computing 31, pages 326-338.
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Florin Stinga & Dan Popescu. (2014) Robust model predictive control of an induction motor. Robust model predictive control of an induction motor.
B. Khan & J.A. Rossiter. (2014) Structured optimisation dynamics for robust triple mode predictive control. IFAC Proceedings Volumes 47:3, pages 8347-8352.
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H.-N. Nguyen & P.-O. Gutman. (2013) A new dual-mode model predictive control for constrained linear systems. A new dual-mode model predictive control for constrained linear systems.
H.-N. Nguyen, S. Olaru, P.-O. Gutman & M. Hovd. (2012) Interpolation based control for constrained linear time-varying or uncertain systems in the presence of disturbances. IFAC Proceedings Volumes 45:17, pages 169-174.
Crossref
Maximilian Balandat. (2011) Interpolation in output-feedback tube-based robust MPC. Interpolation in output-feedback tube-based robust MPC.
. (2010) Optimal control applications and methods literature survey (No. 17). Optimal Control Applications and Methods 31:2, pages 183-185.
Crossref
. (2010) Robust and nonlinear control literature survey (No. 17). International Journal of Robust and Nonlinear Control, pages n/a-n/a.
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