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Journal of Applied Mathematics
Volume 2015, Article ID 875850, 12 pages
Research Article

Dynamic Output Feedback Robust Model Predictive Control via Zonotopic Set-Membership Estimation for Constrained Quasi-LPV Systems

1School of Electro-Mechanical Engineering, Xidian University, Xi’an 710071, China
2School of Electronic Engineering, Xidian University, Xi’an 710071, China

Received 5 July 2014; Revised 11 September 2014; Accepted 7 October 2014

Academic Editor: Dewei Li

Copyright © 2015 Xubin Ping and Ning Sun. 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.


For the quasi-linear parameter varying (quasi-LPV) system with bounded disturbance, a synthesis approach of dynamic output feedback robust model predictive control (OFRMPC) is investigated. The estimation error set is represented by a zonotope and refreshed by the zonotopic set-membership estimation method. By properly refreshing the estimation error set online, the bounds of true state at the next sampling time can be obtained. Furthermore, the feasibility of the main optimization problem at the next sampling time can be determined at the current time. A numerical example is given to illustrate the effectiveness of the approach.