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

Download the digital copy of the doc pdf document

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.