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Quantized H∞ filtering for networked persistent dwell-time switched piecewise-affine systems.

Zhen Mei1, Ziwei Li1, Lei Su1

  • 1School of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan 243032, China.

ISA Transactions
|November 6, 2022
PubMed
Summary
This summary is machine-generated.

This study introduces a new quantized H∞ filter for networked switched systems with persistent dwell-time constraints. The filter enhances bandwidth utilization and ensures system stability and performance.

Keywords:
Networked switched systemsPersistent dwell-time switching mechanismPiecewise-affine systemsQuantized filtering

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Area of Science:

  • Control Systems Engineering
  • Networked Systems
  • Signal Processing

Background:

  • Networked systems introduce challenges like limited bandwidth and data quantization.
  • Switched piecewise-affine systems require robust filtering under dynamic conditions.
  • Persistent dwell-time constraints are crucial for stability in switched systems.

Purpose of the Study:

  • To design a mode-dependent and region-dependent quantized H∞ filter for networked switched piecewise-affine systems.
  • To ensure global uniform exponential stability and H∞ performance for the filtering error system.
  • To improve bandwidth utilization in communication-limited networked systems.

Main Methods:

  • Utilizing a logarithmic quantizer for measurement processing and transmission scheduling.
  • Applying state-space division for filter design.
  • Employing mode-dependent Lyapunov functions and decoupling techniques.
  • Deriving sufficient conditions for filter gain computation.

Main Results:

  • Sufficient conditions for designing the mode-dependent and region-dependent quantized H∞ filter are established.
  • The proposed filter guarantees global uniform exponential stability of the filtering error system.
  • The H∞ performance is achieved, ensuring bounded error propagation.
  • Demonstrated effectiveness through two illustrative examples.

Conclusions:

  • The developed method provides a robust approach for quantized H∞ filtering in networked switched systems.
  • The logarithmic quantizer effectively enhances bandwidth utilization.
  • The filter design ensures stability and performance under persistent dwell-time constraints.