Enhanced IMC based PID controller design for non-minimum phase (NMP) integrating processes with time delays.

Area of Science:

• Control Engineering
• Process Control
• Automation Systems

Background:

• Proportional-Integral-Derivative (PID) controllers are widely used in industrial processes.
• Designing PID controllers for systems with time delays and right-half-plane (RHP) zeros presents significant challenges.
• Existing methods may not offer optimal performance or systematic tuning guidelines.

Purpose of the Study:

• To propose a novel Internal Model Control (IMC) framework for designing optimal PID controllers.
• To address the specific challenges of integrating and double integrating time-delay processes with RHP zeros.
• To provide systematic tuning guidelines for the proposed controller.

Main Methods:

• Utilized an optimal H2 minimization framework within the Internal Model Control (IMC) structure.
• Employed Blaschke product to derive the optimal controller structure.
• Developed systematic guidelines for tuning a single closed-loop parameter based on maximum sensitivity.

Main Results:

• The proposed method successfully designs PID controllers for complex processes.
• Simulation studies demonstrated superior closed-loop performance compared to existing methods.
• Quantitative analysis using Integral Absolute Error (IAE) and Total Variation (TV) confirmed enhanced performance.

Conclusions:

• The proposed IMC-based optimal H2 PID controller design offers enhanced performance for integrating and double integrating time-delay processes with RHP zeros.
• The method provides a systematic approach to controller tuning, improving robustness and efficiency.
• This approach represents a significant advancement in PID controller design for challenging industrial applications.