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LMI-Based Delayed Output Feedback Controller Design for a Class of Fractional-Order Neutral-Type Delay Systems Using

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Summary
This summary is machine-generated.

This study stabilizes uncertain fractional-order neutral systems with time delays using guaranteed cost control. A proportional-differential output feedback controller ensures satisfactory performance and system stability via Lyapunov theory and matrix inequalities.

Keywords:
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Area of Science:

  • Control Theory
  • Systems Engineering
  • Applied Mathematics

Background:

  • Fractional-order neutral systems with time delays present significant control challenges.
  • Uncertainty and delays complicate system stabilization and performance.
  • Guaranteed cost control offers a robust approach to managing system performance bounds.

Purpose of the Study:

  • To design a proportional-differential (PD) output feedback controller for uncertain fractional-order neutral systems with delayed input.
  • To achieve satisfactory performance and guaranteed stability for the closed-loop system.
  • To provide a systematic method for controller design and stability analysis.

Main Methods:

  • Utilizing the guaranteed cost control method for performance optimization.
  • Applying Lyapunov's stability theory for rigorous analysis.
  • Formulating stability conditions using matrix inequalities.

Main Results:

  • The proposed controller effectively stabilizes the uncertain fractional-order neutral systems.
  • The stability conditions derived from matrix inequalities are validated.
  • Analytical findings are confirmed through two illustrative application examples.

Conclusions:

  • The guaranteed cost control approach is effective for stabilizing complex fractional-order systems.
  • The designed PD output feedback controller ensures robust performance and stability.
  • The methodology provides a valuable tool for control design in systems with uncertainty and delays.