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H(infinity) PID controller design for runaway processes with time delay.

Weidong Zhang¹, Xiaoming Xu

¹Department of Automation, Shanghai Jiaotong University, People's Republic of China. wdzhang@mail.sjtu.edu.cn

ISA Transactions

|August 6, 2002

Summary

This summary is machine-generated.

This study introduces an efficient H-infinity control method for designing Proportional-Integral-Derivative (PID) controllers for unstable processes with time delays. The new approach ensures system stability and meets performance specifications.

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Area of Science:

Control Engineering
Process Systems Engineering
Applied Mathematics

Background:

Designing controllers for runaway processes with time delays is challenging due to inherent instability and delayed feedback.
Existing methods may not adequately address both internal stability and specific time-domain performance requirements simultaneously.
H-infinity control theory offers a robust framework for designing controllers with guaranteed stability margins.

Purpose of the Study:

To develop an efficient and analytical method for designing Proportional-Integral-Derivative (PID) controllers.
To specifically address the challenges posed by runaway processes incorporating time delays.
To ensure closed-loop system stability and achieve specified time-domain performance metrics.

Main Methods:

The controller design is based on H-infinity control theory, operating in the frequency domain.
Investigation of constraints related to internal stability and asymptotic properties of the closed-loop system.
Development of a novel analytical procedure yielding simple design formulas for the PID controller.

Main Results:

An efficient PID controller design methodology for runaway processes with time delay is presented.
The proposed method analytically derives simple design formulas.
The designed controller is demonstrated to meet specified time-domain performance criteria.

Conclusions:

The developed H-infinity based method provides an effective approach for PID controller design in complex process scenarios.
The analytical design procedure simplifies the implementation for achieving robust stability and desired performance.
The method is validated through illustrative design examples, confirming its practical applicability.