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Model predictive control with linear models
Abstract
This article discusses the existing linear model predictive control concepts in a unified theoretical framework based on a stabilizing, infinite horizon, linear quadratic regulator. In order to represent unstable as well as stable multivariable systems, the standard state‐space formulation is used for the plant model. The incorporation of a nominally stabilizing constrained regulator eliminates the current requirement of tuning for nominal stability. Output feedback is addressed in the well‐established framework of the linear quadratic state‐estimation problem. This framework allows the flexibility to handle nonsquare systems, noisy inputs and outputs, and nonzero input, output, and state disturbances. This formulation subsumes the integral control schemes designed to remove steady‐state offset currently in industrial use. The online implementation of the controller requires the solution of a standard quadratic program that is no more computationally intensive than existing algorithms.
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Cited by
Constrained model predictive control: Stability and optimality
Mayne, D. Q., Rawlings, J. B., Rao, C. V., & Scokaert, P. O. M. (2000) · Automatica · doi:10.1016/s0005-1098(99)00214-9 · Cited by 8,736
Self-citationAll you need to know about model predictive control for buildings
Drgoňa, J., Arroyo, J., Cupeiro Figueroa, I., Blum, D., Arendt, K., Kim, D., Ollé, E. P., Oravec, J., Wetter, M., Vrabie, D. L., et al. (2020) · Annual Reviews in Control · doi:10.1016/j.arcontrol.2020.09.001 · Cited by 1,020
Application of Interior-Point Methods to Model Predictive Control
Rao, C. V., Wright, S. J., & Rawlings, J. B. (1998) · Journal of Optimization Theory and Applications · doi:10.1023/a:1021711402723 · Cited by 536
Self-citationAn Overview of Nonlinear Model Predictive Control Applications
Qin, S. J., & Badgwell, T. A. (2000) · Nonlinear Model Predictive Control · doi:10.1007/978-3-0348-8407-5_21 · Cited by 458
RTO: An overview and assessment of current practice
Darby, M. L., Nikolaou, M., Jones, J., & Nicholson, D. (2011) · Journal of Process Control · doi:10.1016/j.jprocont.2011.03.009 · Cited by 344
Metadata
- Authors
- Muske, K. R., & Rawlings, J. B.
- Venue
- AIChE Journal
- Publisher
- Wiley
- Published
- 1993-02
- Volume
- 39
- Issue
- 2
- Pages
- 262-287
- ISSN
- 0001-1541 (ISSN-L)
- 1547-5905
- OpenAlex
- W2147844094
- Cited by
- 713
- References
- 0
- FWCI
- 22.67
- Type
- journal article
- Language
- en
- Open access
- closed
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- Muske, K. R., & Rawlings, J. B. (1993). Model predictive control with linear models. AIChE Journal. https://doi.org/10.1002/aic.690390208
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