Open AccessDistributed model predictive control for polytopic uncertain systems with randomly occurring actuator saturation and packet loss
Author(s) -
Song Yan,
Fang Xiaosheng
Publication year - 2014
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2013.0376
Subject(s) - control theory (sociology) , convex hull , actuator , linear matrix inequality , network packet , model predictive control , packet loss , convex optimization , computer science , linear system , bernoulli's principle , mathematics , regular polygon , control (management) , engineering , mathematical optimization , artificial intelligence , computer network , mathematical analysis , geometry , aerospace engineering
In this study, a distributed model predictive control algorithm is presented for the polytopic uncertain system subject to randomly occurring actuator saturation and packet loss. The global system is decomposed into several subsystems, and a novel distributed controller model is established to account for both the actuator saturation and packet loss in a unified representation by using two sets of Bernoulli distributed white sequences with known conditional probabilities. By transforming the non‐linear feedback law into a convex hull of linear feedback laws, the distributed controllers for subsystems are obtained by solving a linear matrix inequality (LMI) optimisation problem. Finally, two simulation examples are employed to show the effectiveness of the techniques proposed in this study.