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Control of Eating Behavior Using a Novel Feedback System
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Adaptive output feedback control for fractional-order multi-agent systems.

Zichao Yang1, Shiqi Zheng1, Feng Liu1

  • 1School of Automation, China University of Geosciences, Wuhan 430074, China; Hubei Key Laboratory of Advanced Control and Intelligent Automation of Complex Systems, Wuhan 430074, China.

ISA Transactions
|July 14, 2019
PubMed
Summary
This summary is machine-generated.

Researchers developed a new method for fractional-order multi-agent systems (MAS) to achieve leader-following consensus. This approach uses a novel observer and adaptive controller to handle system complexities and nonlinearities effectively.

Keywords:
Adaptive backsteppingFractional order systemsInput nonlinearitiesOutput feedback

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Area of Science:

  • Control Systems Engineering
  • Systems Theory
  • Applied Mathematics

Background:

  • Multi-agent systems (MAS) are crucial for distributed control and coordination.
  • Fractional-order systems offer enhanced modeling capabilities but present unique control challenges.
  • Achieving consensus (agreement) in leader-following MAS is vital for coordinated behavior.

Purpose of the Study:

  • To address the leader-following consensus problem in fractional-order multi-agent systems (MAS).
  • To develop a robust control strategy capable of handling system nonlinearities.

Main Methods:

  • A distributed observer was designed to estimate system states using only output information.
  • A novel state transformation technique was proposed to reconstruct the observer dynamic model, simplifying Lyapunov function selection.
  • A new frequency-dependent Lyapunov function was introduced for stability analysis.
  • An adaptive vector backstepping controller was designed based on the new Lyapunov function.
  • Fractional-order auxiliary systems generated virtual signals to compensate for input nonlinearities (dead zones, quantization, saturation).

Main Results:

  • The proposed distributed observer effectively estimates state variables in fractional-order MAS.
  • The new state transformation and Lyapunov function facilitate controller design.
  • The adaptive controller successfully achieves leader-following consensus despite input nonlinearities.
  • Simulation results validated the theoretical findings and the effectiveness of the proposed control strategy.

Conclusions:

  • The study presents a viable and effective approach for solving the leader-following consensus problem in fractional-order MAS.
  • The developed methodology enhances control robustness by addressing state estimation and input nonlinearities.
  • This work contributes to the advancement of control theory for complex fractional-order systems.