Practical stabilization of time-delay fractional-order systems by parametric controllers.

Area of Science:

• Control Systems Engineering
• Applied Mathematics
• Nonlinear Dynamics

Background:

• Fractional-order systems with time delays present significant control challenges.
• Achieving stability requires careful design of feedback controllers and consideration of system constraints.

Purpose of the Study:

• To develop a method for stabilizing time-delayed fractional-order systems.
• To determine controller parameters with minimum norm for optimal stability.
• To reduce design constraints using partial eigenvalue assignment.

Main Methods:

• Utilizing minimum norm determination for feedback matrix parameters.
• Applying partial eigenvalue assignment (PEVA) to reduce matrix constraints and ranks.
• Implementing the proposed stabilization method in numerical simulations.

Main Results:

• Demonstrated successful stabilization of time-delayed fractional-order systems.
• Showcased the effectiveness of the minimum norm approach for controller design.
• Validated the PEVA method in reducing design complexity and constraints.

Conclusions:

• The proposed method effectively stabilizes time-delayed fractional-order systems.
• Minimum norm controller parameter determination is crucial for stability.
• Partial eigenvalue assignment offers a viable approach to simplify controller design.