Publication
Robust periodic economic model predictive control using probabilistic set invariance for descriptor systems
Conference Article
Conference
IFAC Conference on Nonlinear Model Predictive Control (NMPC)
Edition
6th
Pages
436-441
Doc link
https://doi.org/10.1016/j.ifacol.2018.11.054
File
Authors
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Wang, Ye
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Muñoz de la Peña, David
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Puig Cayuela, Vicenç
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Cembrano Gennari, Gabriela
Projects associated
Abstract
This paper proposes a robust periodic economic model predictive control (MPC) using probabilistic set invariance for discrete-time descriptor systems. The considered systems are affected by additive disturbances that are bounded and follow a zero-mean Gaussian distribution. To guarantee robustness of the proposed robust economic MPC, a probabilistic invariant set with a given probability is used to contract the state and input constraints. An auxiliary input variable is defined to satisfy algebraic equations from descriptor systems in presence of disturbances. Finally, an application of the proposed MPC strategy to a smart micro-grid is provided to illustrate the performance.
Categories
control theory.
Scientific reference
Y. Wang, D. Muñoz de la Peña, V. Puig and G. Cembrano. Robust periodic economic model predictive control using probabilistic set invariance for descriptor systems, 6th IFAC Conference on Nonlinear Model Predictive Control, 2018, Madison, Wisconsin, USA, Vol 51:20 of IFAC Papers Online, pp. 436-441, 2018.
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