Event-based fractional order control.

Area of Science:

• Control Engineering
• Fractional Calculus
• Applied Mathematics

Background:

• Fractional order control offers superior performance over classical integer order control.
• Current industrial systems face challenges with computationally intensive fractional order control implementations.
• There is a need for efficient control methods with minimal resource utilization in industrial settings.

Purpose of the Study:

• To generalize event-based control principles to the domain of fractional calculus.
• To develop an industrial-suitable control strategy by integrating event-based and fractional order control.
• To address the computational demands of fractional order control in practical applications.

Main Methods:

• Theoretical development of event-based control for fractional differintegral operators.
• Implementation strategies for combining resource optimization with fractional calculus.
• Validation through diverse numerical examples.

Main Results:

• A generalized event-based control methodology for fractional calculus is established.
• The proposed approach offers a balance between high performance and computational efficiency.
• Numerical simulations confirm the effectiveness and applicability of the method.

Conclusions:

• The integration of event-based and fractional order control provides a powerful tool for industrial applications.
• This methodology enhances control system efficiency and resource management.
• It represents a significant advancement for implementing advanced control strategies in industry.