Robust controller synthesis for high order unstable processes with time delay using mirror mapping technique.

Area of Science:

• Control Systems Engineering
• Process Control
• Systems Theory

Background:

• High-order unstable delay processes with positive poles present significant control challenges.
• Existing methods may lack systematic approaches for parameter tuning and robustness guarantees.

Purpose of the Study:

• To propose a general scheme for controlling high-order unstable delay processes.
• To ensure prespecified robustness specifications are met.
• To provide a concise and effective control design procedure.

Main Methods:

• Utilizing the mirror mapping technique to transform unstable processes into minimum-phase systems.
• Employing Nyquist criteria for systematic parameter tuning.
• Designing a control law based on all-pole Padé approximated models.
• Applying the closed-loop gain shaping algorithm (CGSA) for actual control.

Main Results:

• A stabilizing parameter region is established, guaranteeing robustness specifications.
• The proposed scheme achieves good performance in disturbance rejection.
• The control design procedure is concise and effective.

Conclusions:

• The developed control scheme offers an effective solution for high-order unstable delay processes.
• The method demonstrates superior performance in robustness and disturbance rejection.
• The technique is validated through three highly cited examples.