IMC-PID design based on model matching approach and closed-loop shaping.

Area of Science:

• Control Systems Engineering
• Robust Control Theory
• Optimization Algorithms

Background:

• Conventional internal model control (IMC) methods have limitations in achieving robust performance.
• There is a need for advanced control strategies that balance system robustness and performance.

Purpose of the Study:

• To design an IMC-based proportional-integral-derivative (PID) controller that enhances robust performance.
• To develop a systematic procedure for determining controller parameters via multi-objective optimization.

Main Methods:

• The IMC controller form is derived by solving an H-infinity problem using a model matching approach.
• Controller parameters are determined through closed-loop transfer function shaping for set-point tracking and load disturbance rejection.
• A multi-objective optimization problem is formulated and solved using a specialized optimization algorithm.

Main Results:

• The proposed design method allows for a clear trade-off analysis between robustness and performance.
• Simulation examples demonstrate the effectiveness and broad applicability of the developed IMC-based PID controller.
• The method successfully addresses limitations of conventional IMC by optimizing for both tracking and disturbance rejection.

Conclusions:

• The developed IMC-based PID design methodology offers a robust and high-performance control solution.
• This approach provides engineers with a valuable tool for tuning control systems with clear robustness-performance trade-offs.
• The method is effective across a range of applications, offering significant improvements over traditional IMC techniques.