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Classical controller design techniques for fractional order case.

Celaleddin Yeroglu¹, Nusret Tan

¹Computer Engineering Department, Inonu University, Malatya, 44280, Turkey. cyeroglu@inonu.edu.tr

ISA Transactions

|April 19, 2011

Summary

This study introduces new robust controller design methods for fractional-order systems. These techniques ensure robust performance for interval plants, enhancing control system stability and reliability.

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Area of Science:

Control Systems Engineering
Applied Mathematics

Background:

Fractional-order systems present unique challenges in classical controller design.
Robust performance is crucial for control systems operating with uncertain parameters.

Purpose of the Study:

To propose novel robust controller design methods for fractional-order interval transfer functions (FOITFs).
To ensure robust performance specifications are met for fractional-order interval plants.
To develop a classical PID controller design technique using fractional-order reference models.

Main Methods:

Utilizing classical design methods with Bode envelopes of FOITFs for lag, lag-lead, and PI controllers.
Employing an optimization technique based on a fractional-order reference model for PID controller design.
Applying the least squares optimization method to obtain PID controller parameters.

Main Results:

Successfully designed robust lag, lag-lead, and PI controllers for FOITFs.
Demonstrated that the proposed controllers meet robust performance specifications for fractional-order interval plants.
Obtained multiple stable PID controller parameter sets for the same plant using the optimization method.

Conclusions:

The proposed classical controller design techniques are effective for fractional-order interval systems.
The methods ensure robust performance and stability in the presence of plant uncertainty.
The optimization approach provides a viable way to design stable PID controllers for fractional-order plants.