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Robust model predictive control for continuous uncertain systems with state delay

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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.

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Authors and Affiliations

  1. School of Control Science and Engineering, Shandong University, Jinan, Shandong, 250061, China

    Chunyan Han & Huanshui Zhang

  2. School of Mathematics and Information, Ludong University, Yantai, Shandong, 264025, China

    Xiaohua Liu

Authors
  1. Chunyan Han
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  2. Xiaohua Liu
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  3. Huanshui Zhang
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Corresponding author

Correspondence to Chunyan Han.

Additional information

This work was supported by the National Natural Science Foundation of China (No.60574016).

Chuyan HAN received the B.S. and M.S. degrees in mathematics from Yantai Normal University in 2003 and 2006, respectively. Currently, she is a ph.D. candidate in control theory and control engineering at Shandong University. Her main research interests include robust model predictive control, and time-delay systems.

Xiaohua LIU received the B.S. degree in mathematics from Shandong Normal University in 1982. He received his M.S. degree in operations research and cybernetics from Qufu Normal University in 1989, and his ph.D. degrees in operations research and cybernetics from Dalian University of Technology in 2003. Currently, he is a professor in Department of Mathematics and Information at Ludong University. His research interests include adaptive control, predictive control, intelligent control, control theory and its applications.

Huanshui ZHANG received his M.S. and Ph.D. degrees in control theory and signal processing from Heilongjiang University and Northeastern University in 1991 and 1997, respectively. He worked as a postdoctoral fellow at Nanyang Technological University from 1998 to 2001 and a research fellow at Hong Kong Polytechnic University from 2001 to 2003. He is currently a professor in Shandong University. His research interests include optimal estimation, robust filtering and control, time delay systems, singular systems, wireless communication, signal processing and wireless sensor networked systems.

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Han, C., Liu, X. & Zhang, H. Robust model predictive control for continuous uncertain systems with state delay. J. Control Theory Appl. 6, 189–194 (2008). https://doi.org/10.1007/s11768-008-5227-y

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  • DOI: https://doi.org/10.1007/s11768-008-5227-y

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