Guaranteed cost-based feedback control design for fractional-order neutral systems with input-delayed and nonlinear...

Area of Science:

• Control Systems Engineering
• Fractional Calculus
• Nonlinear Dynamics

Background:

• Time delays in actuators, stemming from electrical and mechanical components, significantly impact system response during input command changes.
• Ignoring uncertainties in dynamic models can jeopardize effective controller design.
• Mitigating the effects of input delay and model uncertainty on system stability and performance presents a significant control challenge.

Purpose of the Study:

• To design state- and output-feedback controllers for fractional neutral systems.
• To address the challenges posed by input delays and nonlinear perturbations.
• To achieve guaranteed cost-based performance and enhance system stability.

Main Methods:

• Utilizing guaranteed cost-based feedback control techniques.
• Formulating stability criteria in the Lyapunov sense.
• Expressing stability conditions using matrix inequalities.

Main Results:

• Successful design of state- and output-feedback controllers for fractional neutral systems with input delay and nonlinear perturbations.
• Demonstration of controller effectiveness in achieving desired performance metrics.
• Validation of the proposed control strategy through simulation.

Conclusions:

• The guaranteed cost-based feedback control technique effectively stabilizes fractional neutral systems with input delays and nonlinear perturbations.
• The developed stability criteria, based on Lyapunov analysis and matrix inequalities, provide a robust framework for controller design.
• Simulation results confirm the efficacy of the proposed method in enhancing system stability and performance.