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Journal of Control Science and Engineering
Volume 2016, Article ID 8753657, 8 pages
Research Article

Plug and Play Robust Distributed Control with Ellipsoidal Parametric Uncertainty System

1Dipartimento di Elettronica, Informazione, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy
2School of Mechanical and Electronic Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333403, China

Received 4 August 2016; Revised 10 October 2016; Accepted 31 October 2016

Academic Editor: Haibo Du

Copyright © 2016 Hong Wang-jian and Wang Yan-xiang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider a continuous linear time invariant system with ellipsoidal parametric uncertainty structured into subsystems. Since the design of a local controller uses only information on a subsystem and its neighbours, we combine the plug and play idea and robust distributed control to propose one distributed control strategy for linear system with ellipsoidal parametric uncertainty. Firstly for linear system with ellipsoidal parametric uncertainty, a necessary and sufficient condition for robust state feedback control is proposed by means of linear matrix inequality. If this necessary and sufficient condition is satisfied, this robust state feedback gain matrix can be easily derived to guarantee robust stability and prescribed closed loop performance. Secondly the plug and play idea is introduced in the design process. Finally by one example of aircraft flutter model parameter identification, the efficiency of the proposed control strategy can be easily realized.