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Improved stability and stabilization design for networked control systems using new quadruple-integral functionals.

Zhichen Li1, Yan Bai1, Tianqi Li2

  • 1School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China.

ISA Transactions
|April 19, 2016
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Summary
This summary is machine-generated.

This study enhances networked control systems (NCS) stability analysis and stabilization. Novel Lyapunov-Krasovskii functionals and integral inequalities reduce conservatism, improving controller design for practical applications.

Keywords:
Delay decomposition approachIntegral inequalitiesNetworked control systemsStability analysisStabilization

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Area of Science:

  • Control Engineering
  • Systems Theory
  • Applied Mathematics

Background:

  • Networked control systems (NCS) present unique challenges due to time delays and communication constraints.
  • Existing stability analysis methods for NCS often lead to conservative results.

Purpose of the Study:

  • To develop a less conservative stability analysis and controller design method for NCS.
  • To improve the performance and robustness of NCS through advanced theoretical approaches.

Main Methods:

  • Construction of novel Lyapunov-Krasovskii functionals (LKFs) with quadruple-integral terms.
  • Development of new integral inequalities to provide tighter bounds for cross-terms.
  • Application of the reciprocally convex approach to handle non-strictly proper rational functions.
  • Design of a state feedback controller based on the derived stability criteria.

Main Results:

  • The proposed method offers tighter bounds compared to existing Jensen inequality-based approaches.
  • Reduced conservatism in stability analysis and controller design for NCS.
  • Demonstrated effectiveness through numerical examples and applications in power and oscillator systems.

Conclusions:

  • The novel approach significantly reduces conservatism in NCS stability analysis and stabilization.
  • The developed controller design method enhances system performance in practical scenarios.