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Abstract and Applied Analysis
Volume 2013, Article ID 380105, 8 pages
Research Article

Automatic Offline Formulation of Robust Model Predictive Control Based on Linear Matrix Inequalities Method

1Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, China
2State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing 102206, China

Received 9 January 2013; Revised 29 March 2013; Accepted 29 March 2013

Academic Editor: Josef Diblík

Copyright © 2013 Longge Zhang. 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.


Two automatic robust model predictive control strategies are presented for uncertain polytopic linear plants with input and output constraints. A sequence of nested geometric proportion asymptotically stable ellipsoids and controllers is constructed offline first. Then the feedback controllers are automatically selected with the receding horizon online in the first strategy. Finally, a modified automatic offline robust MPC approach is constructed to improve the closed system's performance. The new proposed strategies not only reduce the conservatism but also decrease the online computation. Numerical examples are given to illustrate their effectiveness.