Multi-loop PI controller design based on the direct synthesis for interacting multi-time delay processes.

Area of Science:

• Control Systems Engineering
• Process Control
• Automation

Background:

• Designing controllers for Multiple-Input, Multiple-Output (MIMO) processes with multiple time delays presents significant challenges.
• Existing methods may not adequately address the complexity and performance requirements of such systems.
• Proportional-Integral (PI) controllers are widely used but require effective tuning strategies for MIMO applications.

Purpose of the Study:

• To propose a novel analytical method for designing multi-loop Proportional-Integral (PI) controllers.
• To achieve a desired closed-loop response for MIMO processes characterized by multiple time delays.
• To ensure the designed controller exhibits robustness and minimizes integral absolute error (IAE).

Main Methods:

• Utilizes a direct synthesis approach for controller design.
• Designs an ideal multi-loop controller based on relative gain and desired closed-loop transfer function.
• Approximates the ideal controller to a standard multi-loop PI controller using Maclaurin series expansion.

Main Results:

• The proposed method effectively designs multi-loop PI controllers for MIMO processes with time delays.
• Simulation studies confirm the controller's ability to achieve a fast and well-balanced response.
• The designed controller demonstrates robustness and achieves minimum Integral Absolute Error (IAE).

Conclusions:

• The direct synthesis-based analytical method provides an effective solution for multi-loop PI controller design.
• The proposed method is suitable for complex MIMO systems with multiple time delays.
• The resulting controllers offer superior performance in terms of speed, balance, robustness, and error minimization.