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Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
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In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
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A sum-based discrete event-triggered dynamic output feedback control for interval type-2 fuzzy systems.

Duo Zhang1, Liruo Zhang2, Zhongjing Yu3

  • 1School of Mathematical Sciences, University of Electronic Science and Technology of China, Sichuan 611731, China.

ISA Transactions
|January 12, 2022
PubMed
Summary

This study introduces a novel event-triggered mechanism for nonlinear networked systems, reducing network load. The proposed controller ensures system stability with guaranteed performance, validated through practical examples.

Keywords:
Cone-complimentarity linearization algorithmDynamic output feedbackInterval type-2 fuzzy modelSum-based discrete event-triggered mechanism

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Area of Science:

  • Control Systems Engineering
  • Fuzzy Logic Systems
  • Networked Systems

Background:

  • Nonlinear networked systems present control challenges due to communication constraints.
  • Traditional event-triggered mechanisms can be inefficient in resource usage.
  • Interval Type-2 (IT2) fuzzy models offer enhanced uncertainty handling.

Purpose of the Study:

  • To design an event-based controller for nonlinear networked systems using IT2 fuzzy models.
  • To develop an innovative sum-based discrete event-triggered mechanism (SDETM) for reduced network resource consumption.
  • To ensure system stability with prescribed H-infinity performance.

Main Methods:

  • Design of a dynamic output feedback controller (DOFC).
  • Proposal of a novel sum-based discrete event-triggered mechanism (SDETM) considering previous samples.
  • Establishment of a stability criterion using the Lyapunov-Krasovskii functional method.
  • Co-design of controller and trigger parameters via the cone complementarity linearization (CCL) algorithm.

Main Results:

  • The proposed SDETM significantly reduces network resource consumption compared to traditional ETMs.
  • The designed DOFC guarantees system stability with H-infinity performance.
  • The co-design approach effectively tunes controller and trigger parameters.
  • Validation through two practical case studies demonstrates the method's effectiveness.

Conclusions:

  • The developed event-based control strategy is effective for nonlinear IT2 fuzzy networked systems.
  • The SDETM offers a more efficient approach to network resource management in control systems.
  • The study provides a robust framework for designing stable and performant controllers under communication constraints.