A Simplified Fractional Order PID Controller's Optimal Tuning: A Case Study on a PMSM Speed Servo

Area of Science:

• Control Engineering
• Electrical Engineering
• Applied Mathematics

Background:

• Traditional PID controllers face limitations in complex systems.
• Fractional order PID (FOPID) controllers offer enhanced control but often involve numerous parameters.
• Simplifying FOPID controller design is crucial for practical implementation.

Purpose of the Study:

• To propose a simplified fractional order PID (FOPID) controller structure.
• To develop an analytical method for optimizing FOPID controller parameters.
• To validate the effectiveness of the simplified FOPID controller in a permanent magnet synchronous motor (PMSM) speed servo system.

Main Methods:

• A novel parameter relation definition reduces the number of tunable coefficients.
• An estimation model is developed to determine the optimal relation coefficient analytically.
• The simplified FOPID controller is applied to a PMSM speed servo for simulation and experimental validation.

Main Results:

• The simplified FOPID controller maintains proportional, integral, and derivative components with fewer parameters.
• Analytical calculation of optimal controller parameters is achieved.
• Simulation and experimental results show the simplified FOPID system achieves optimal dynamic performance compared to existing methods.

Conclusions:

• The proposed simplified FOPID controller offers an effective and analytically tunable approach.
• The controller structure and tuning method are validated through practical application on a PMSM.
• This work demonstrates a significant advancement in FOPID control for motor speed regulation.