Tuning of PID controllers for integrating systems using direct synthesis method.

Area of Science:

• Control Engineering
• Chemical Process Control

Background:

• Integrating systems with time delays are common in chemical processes.
• Designing effective controllers for these systems, such as Proportional-Integral-Derivative (PID) controllers, is crucial for stability and performance.
• Existing methods may lack robustness or specific tuning rules for diverse integrating system dynamics.

Purpose of the Study:

• To develop a novel PID controller design methodology for integrating systems incorporating time delays.
• To provide explicit tuning rules based on process parameters for various integrating system configurations.
• To ensure desired robustness in the designed controller by adjusting a key tuning parameter.

Main Methods:

• The direct synthesis method is employed, comparing system and controller characteristic equations.
• A desired characteristic equation with multiple poles at specified locations is utilized.
• The tuning parameter is adjusted to meet a target robustness level (Ms value).

Main Results:

• Tuning rules are derived for different types of integrating systems.
• The method allows selection of the tuning parameter for a desired robustness (Ms).
• The controller design is validated on various transfer function models and a nonlinear jacketed CSTR model.

Conclusions:

• The proposed direct synthesis method effectively designs PID controllers for integrating systems with time delays.
• The method provides practical tuning guidelines and achieves desired robustness.
• It demonstrates broad applicability across different system models, including nonlinear ones.