Adaptive Dynamic Output-feedback Control for Chemical Continuous Stirred Tank Reactor System with Nonlinear Uncertainties and Multiple Time-delays

  • Wei ZhengEmail author
  • Hong-Bin Wang
  • Shu-Huan Wen
  • Hong-Rui Wang
  • Zhi-Ming Zhang
Regular Papers Control Theory and Applications


This paper addresses the dynamic-output-feedback control problem for a class of nonlinear system with nonlinear uncertainties and multiple time-delays. Compared with the previous work, the time delay parameters of the system are both multiple and time-varying, and the results are further extended to the chemical continuous stirred tank reactor (CSTR) case. First, the system is decomposed into two subsystems based on the output and input matrix. Secondly, a dynamic compensator is designed for the first subsystem, and the output feedback controller is further employed based on the second subsystem and the compensator. Moreover, by using the introduced LyapunovKrasovskii functional, it can be seen that the solutions of the resultant closed-loop system converge to an adjustable bounded region. In this paper, the uncertainties are in the nonlinear form and bounded by nonlinear functions with unknown gains. And the control design conditions are relaxed because of the developed dynamic compensator. Finally, the simulations for a chemical (CSTR) case are performed to show the effectiveness of the main results.


Chemical continuous stirred tank reactor exponential stability Lyapunov-Krasovskii functional multiple time-delays output-feedback stabilization 


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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 2018

Authors and Affiliations

  • Wei Zheng
    • 1
    Email author
  • Hong-Bin Wang
    • 1
  • Shu-Huan Wen
    • 1
  • Hong-Rui Wang
    • 2
  • Zhi-Ming Zhang
    • 3
  1. 1.School of Electrical and Computer EngineeringYanshan UniversityQinhuangdaoChina
  2. 2.School of Electronic Information EngineeringHebei UniversityBaodingChina
  3. 3.China National Heavy Machinery research instituteXi’an CityChina

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