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		Chunyan HAN,Xiaohua LIU,Huanshui ZHANG.[en_title][J].Control Theory and Technology,2008,6(2):189~194.[Copy]

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ChunyanHAN,XiaohuaLIU,HuanshuiZHANG
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Received:September 06, 2005Revised:August 11, 2007

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Robust model predictive control for continuous uncertain systems with state delay

Chunyan HAN, Xiaohua LIU, Huanshui ZHANG

(School of Control Science and Engineering, Shandong University, Jinan Shandong 250061, China; School of Mathematics and Information, Ludong University, Yantai Shandong 264025, China)

Abstract:

This paper is concerned with robust model predictive control for linear continuous uncertain systems with state delay and control constraints. A piecewise constant control sequence is calculated by minimizing the upper-bound of the infinite horizon quadratic cost function. At each sampling time, the sufficient conditions for the existence of the model predictive control are derived, and expressed as a set of linear matrix inequalities. The robust stability of the closed-loop systems is guaranteed by the proposed design method. A numerical example is given to illustrate the main results.

Key words: Model predictive control (MPC) Robust control Linear matrix inequality (LMI) Time-delay systems