Dominant pole placement with fractional order PID controllers: D-decomposition approach

Area of Science:

• Control Engineering
• System Dynamics
• Automation

Background:

• Controlling high-order and time-delay systems often requires complex controllers.
• Classical PID controllers have limitations in managing diverse system dynamics.
• Advanced control strategies are needed for robust industrial process management.

Purpose of the Study:

• To apply the D-decomposition method for designing low-order controllers for complex systems.
• To introduce and tune fractional order PID controllers for enhanced system performance.
• To achieve good load disturbance rejection and set point response while constraining sensitivity.

Main Methods:

• Utilizing the D-decomposition method for analytical controller design.
• Implementing a fractional order PID controller as a generalization of the classical PID.
• Tuning controller parameters to meet specific performance criteria like disturbance rejection and sensitivity constraints.

Main Results:

• The D-decomposition method proves effective for a wide range of transfer functions, including those with time-delays and distributed parameters.
• Fractional order PID controllers offer additional parameters for superior system performance tuning.
• The proposed method achieves good load disturbance response and set point tracking with controlled sensitivity.

Conclusions:

• The D-decomposition method, especially with fractional order PID controllers, provides a powerful and versatile approach for industrial process control.
• This technique offers a practical and effective solution for enhancing the performance of complex control systems.
• The method demonstrates superior effectiveness compared to other PID optimization techniques through industrial case studies.