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Related Experiment Videos

Improved results on state feedback stabilization for a networked control system with additive time-varying delay

Ruimei Zhang1, Deqiang Zeng2, Xinzhi Liu3

  • 1School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731, China; Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada.

ISA Transactions
|February 24, 2018
PubMed
Summary

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This study introduces a flexible free-parameter approach to ensure stability in networked control systems (NCS) with time-varying delays. The method enhances system stabilization and reduces conservatism for improved performance.

Area of Science:

  • Control Systems Engineering
  • Networked Control Systems (NCS)
  • Stability Analysis

Background:

  • Networked Control Systems (NCS) are susceptible to performance degradation due to time-varying delays.
  • Ensuring stability and robust control in NCS with delays is a significant challenge.

Purpose of the Study:

  • To investigate stability and stabilization problems in NCS with additive time-varying delays.
  • To develop a novel, less conservative approach for stability analysis and controller design.

Main Methods:

  • A new Lyapunov-Krasovskii functional (LKF) with two free parameters was constructed for stability criteria.
  • The input-output method was extended to analyze NCS stability.
  • A state feedback controller was designed based on the derived stability results.
Keywords:
Networked control systemStability analysisState feedback controlTime-varying delays

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Main Results:

  • Novel stability criteria were obtained, dependent on delay bounds and free parameters.
  • The proposed free-parameter approach demonstrated greater flexibility and reduced conservatism compared to existing methods.
  • The designed controller effectively guaranteed asymptotic stability for the closed-loop NCS.

Conclusions:

  • The free-parameter approach offers a more effective and less conservative method for analyzing NCS stability with time-varying delays.
  • The developed stability criteria and controller design enhance the reliability and performance of NCS.
  • Numerical examples validate the effectiveness and reduced conservatism of the proposed methodology.