Distributed model predictive control for polytopic uncertain systems with randomly occurring actuator saturation and packet loss

Yan Song; Xiaosheng Fang

Distributed model predictive control for polytopic uncertain systems with randomly occurring actuator saturation and packet loss

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Author(s): Yan Song ¹ and Xiaosheng Fang ²
- Affiliations: 1: Department of Control Science and Engineering, Key Laboratory of Modern Optical System, University of Shanghai for Science and Technology, Shanghai 200093, People's Republic of China;
  2: College of Mathematics, Physics and Information Technology, Zhejiang Normal University, Jinhua 321004, Zhejiang Province, People's Republic of China
Source: Volume 8, Issue 5, 20 March 2014, p. 297 – 310
DOI: 10.1049/iet-cta.2013.0376 , Print ISSN 1751-8644, Online ISSN 1751-8652

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Received 26/04/2013, Accepted 01/10/2013, Revised 23/09/2013, Published 10/02/2014

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.

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Distributed model predictive control for polytopic uncertain systems with randomly occurring actuator saturation and packet loss

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