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Time-Domain Interpretation of PD Control

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Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
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Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface

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Published on: May 8, 2021

A unified design approach for control integrating processes with time delay.

Chengqiang Yin¹, Shourui Wang², Jie Gao¹

¹School of Machinery and Automation, Weifang University, Weifang, Shandong Province, China.

|June 13, 2024

Summary

This study introduces a two-controller system for improved process control, enhancing both setpoint tracking and disturbance rejection for systems with integrators and dead time.

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Area of Science:

Control Engineering
Process Systems Engineering
Industrial Automation

Background:

Industrial processes often exhibit complex dynamics, including integration and dead time, which pose significant control challenges.
Existing control strategies may struggle to independently optimize both servo and disturbance rejection performance.

Purpose of the Study:

To propose a unified control system design scheme for enhanced performance in processes with integrator and dead time.
To enable independent adjustment of servo and disturbance rejection capabilities.

Main Methods:

A simple two-controller structure is proposed.
The servo controller is designed using the direct synthesis principle.
The disturbance rejection controller is derived based on internal model control (IMC) theory.
A desired transfer function model is introduced for performance tuning.

Main Results:

Simulations on four types of integrating plants with dead time demonstrate significant performance improvements.
The proposed scheme achieves noteworthy enhancement compared to existing methods, even with perturbed dynamics.
Independent tuning of servo and disturbance rejection is validated.

Conclusions:

The unified control design scheme offers a robust and effective solution for controlling integrating processes with dead time.
The method provides enhanced servo and disturbance rejection performance through a simple yet powerful control structure.