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Improved stabilization method for Lurie networked control systems.

Hong-Bing Zeng1, Lei Ding2, Shen-Ping Xiao1

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This study addresses the stabilization of Lurie networked control systems (NCSs) with time-varying delays. A new absolute stability condition and an improved controller design method are presented for enhanced system stability.

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Area of Science:

  • Control Engineering
  • Systems Science
  • Computer Science

Background:

  • Networked Control Systems (NCSs) present unique challenges due to network-induced delays.
  • Lurie systems are a class of nonlinear systems commonly found in control applications.
  • Ensuring stability in NCSs with time-varying delays is crucial for reliable operation.

Purpose of the Study:

  • To investigate the stabilization problem for Lurie NCSs with time-varying and bounded network-induced delays.
  • To develop a novel absolute stability condition for such systems.
  • To design an effective state feedback controller for improved NCS performance.

Main Methods:

  • Utilizing a reciprocally convex technique to analyze the relationship between network-induced delay and its interval.
  • Deriving a new absolute stability condition formulated using linear matrix inequalities (LMIs).
  • Presenting an improved cone complementary linearization (CCL) iteration algorithm for state feedback controller design.

Main Results:

  • A new absolute stability condition for Lurie NCSs with time-varying delays was successfully derived.
  • An improved CCL algorithm was developed for state feedback controller synthesis.
  • The proposed method demonstrated effectiveness in stabilizing the NCS, as verified by a numerical example.

Conclusions:

  • The reciprocally convex technique and LMIs provide a robust framework for analyzing Lurie NCS stability.
  • The improved CCL algorithm offers an effective approach for designing state feedback controllers in NCSs.
  • The findings contribute to the advancement of stable and reliable networked control systems.