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Robust Model Predictive Control for Uncertain Positive Time-delay Systems

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  • Control Theory and Applications
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Abstract

This paper proposes the robust model predictive control of positive time-delay systems with interval and polytopic uncertainties, respectively. The model predictive control framework consists of linear constraint, linear performance index, linear Lyapunov function, linear programming algorithm, and cone invariant set. By virtue of matrix decomposition technique, robust model predictive controllers of interval and polytopic positive systems with multiple state delays are designed, respectively. A multi step control strategy is utilized and a cone invariant set is constructed. Linear programming is used for the corresponding MPC conditions. Finally, a numerical example is given to verify the effectiveness of the proposed design.

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Author information

Authors and Affiliations

  1. School of Automation, Hangzhou Dianzi University, 310018, Hangzhou, China

    Junfeng Zhang, Haoyue Yang, Miao Li & Qian Wang

  2. Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai, 200240, China

    Junfeng Zhang

Authors
  1. Junfeng Zhang
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  2. Haoyue Yang
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  3. Miao Li
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  4. Qian Wang
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Corresponding author

Correspondence to Junfeng Zhang.

Additional information

Recommended by Associate Editor Soohee Han under the direction of Editor PooGyeon Park. This work was supported in part by the National Nature Science Foundation of China (Grant Nos. 61873314, 61503107, and 61503105), the Zhejiang Provincial Natural Science Foundation of China (Grant Nos. S18F030001 and LY18F030005), and the Foundation of Key Laboratory of System Control and Information Processing, Ministry of Education, P. R. China.

Junfeng Zhang received his M.S. and Ph.D. degrees in the College of Mathematics and Information Science from Henan Normal University in 2008 and in the School of Electronic Information and Electrical Engineering from Shanghai Jiao Tong University in 2014, respectively. From December 2014, he worked as a lecturer in the School of Automation in Hangzhou Dianzi University (HDU). From December 2017, he started to work as Associate Professor. He was a recipient of Outstanding Master Degree Thesis Award from Henan Province, China, in 2011 and a recipient of Outstanding Ph.D. Graduate Award from Shanghai, China, in 2014, respectively. He is the co-chair of Program Committee in The 6th International Conference on Positive Systems (POSTA2018). His research interests include positive systems, switched systems, model predictive control, and differential inclusions.

Haoyue Yang received the B.S. degree in Electrical Engineering and Automation from Zhejiang University of Science and Technology in 2016. He began to pursue master’s degree in control science and engineering from Hangzhou Dianzi University in September 2017. His research interests include positive systems, Markovian jump systems, non-fragile saturation control.

Miao Li was born in Hubei Province, China, in 1994. She received the B.S. degree in school of Mechatronical Engineering and Automation from Wuchang Shouyi University in 2017. She began to pursue a master’s degree in control engineering from Hangzhou Dianzi University in September 2017. Her research interests include positive systems, switch-ed systems, non-fragile reliable control.

Qian Wang received her Ph.D. degree from Harbin Institute of Technology in 2014. She was a Visiting Ph.D. Student with the School of Electrical & Electronic Engineering of Nanyang Technological University in 2013. She is currently a visiting scholar with the Advanced Robotics Center, National University of Singapore. In 2014, she joined in Hangzhou Dianzi University, China. Her research interests include switched system, nonlinear system, constraint control, intelligent control, robot control.

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Zhang, J., Yang, H., Li, M. et al. Robust Model Predictive Control for Uncertain Positive Time-delay Systems. Int. J. Control Autom. Syst. 17, 307–318 (2019). https://doi.org/10.1007/s12555-017-0728-4

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