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Robust stability conditions for DMC controller with uncertain time delay

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  • Control Theory
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Abstract

For Networked Control Systems (NCSs), the conventional Dynamic Matrix Control (DMC) may not applicable due to the unknown transmission delay. The uncertain time delay was usually converted to constant time delay by using registers. This paper addresses the stability problem for single-input-single-output (SISO) linear NCSs with uncertain time delay via DMC controller. A novel DMC controller which is effective for such NCSs has been proposed. Applying Jury’s dominant coefficient lemma, the sufficient stability and stabilization conditions are presented. Finally, numerical examples are given to demonstrate the theoretical results.

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Authors and Affiliations

  1. School of Electronics Information and Electrical Engineering, Shanghai Jiao Tong University, and the Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai, 200240, China

    Yang Ge, Jingcheng Wang & Chuang Li

Authors
  1. Yang Ge
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  2. Jingcheng Wang
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  3. Chuang Li
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Corresponding authors

Correspondence to Yang Ge or Jingcheng Wang.

Additional information

Recommended by Associate Editor Soohee Han under the direction of Editor Yoshito Ohta.

This work was supported by National Natural Science Foundation of China (No. 61174059, 61233004), National 973 Program of China (No. 2013CB035406), Research Project of Shanghai Municipal Economic and Informatization Commission.

Yang Ge received his B.S. degree from the University of Electronic Science and Technology of China and his M.S. degree from Shanghai Jiao Tong University in 2009 and 2011, respectively. He is now a Ph.D. candidate in Shanghai Jiao Tong University. His research interests include robust control and networked control systems.

Jingcheng Wang received his B.S. and M.S. degrees from Northwestern Polytechnic University, China, in 1992 and 1995, respectively. He received his Ph.D. degree from Zhejiang University, China in 1998. He is a former research fellow of Alexander von Humboldt Foundation in Rostock University, Germany, and is now a professor in Shanghai Jiaotong University, China. His current research interests include robust control, intelligent control, real-time control and simulation.

Chuang Li received his B.S. degree from Naval University of Engineering in 2004, and his M.S. degree from Guangxi University in 2009. He is now a Ph.D. candidate in Shanghai Jiao Tong University. His research interests include robust control and fractional order interval systems.

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Ge, Y., Wang, J. & Li, C. Robust stability conditions for DMC controller with uncertain time delay. Int. J. Control Autom. Syst. 12, 241–250 (2014). https://doi.org/10.1007/s12555-012-0377-6

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  • DOI: https://doi.org/10.1007/s12555-012-0377-6

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