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Robust Model Predictive Control for Uncertain Positive Time-delay Systems

  • Junfeng ZhangEmail author
  • Haoyue Yang
  • Miao Li
  • Qian Wang
Regular Papers Control Theory and Applications
  • 13 Downloads

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.

Keywords

Linear programming robust model predictive control time delay uncertain positive systems 

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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Junfeng Zhang
    • 1
    • 2
    Email author
  • Haoyue Yang
    • 1
  • Miao Li
    • 1
  • Qian Wang
    • 1
  1. 1.School of AutomationHangzhou Dianzi University310018China
  2. 2.Key Laboratory of System Control and Information ProcessingMinistry of Education of ChinaShanghaiChina

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