Abstract and Applied Analysis

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

Longge Zhang

Full-text: Open access

Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 380105, 8 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511868

Digital Object Identifier
doi:10.1155/2013/380105

Mathematical Reviews number (MathSciNet)
MR3049372

Zentralblatt MATH identifier
1271.93060

Citation

Zhang, Longge. Automatic Offline Formulation of Robust Model Predictive Control Based on Linear Matrix Inequalities Method. Abstr. Appl. Anal. 2013 (2013), Article ID 380105, 8 pages. doi:10.1155/2013/380105. https://projecteuclid.org/euclid.aaa/1393511868


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