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Related Experiment Videos

Generalized eigenvalue minimization for uncertain first-order plus time-delay processes.

Gongsheng Huang¹, Keck Voon Ling², Xiaoning Xu³

¹Department of Civil and Architectural Engineering, City University of Hong Kong, Tat Chee Road, Kowloon, Hong Kong.

ISA Transactions

|October 2, 2013

Summary

This study introduces a robust control method for first-order plus time-delay systems with uncertainties. The generalized eigenvalue minimization technique effectively designs stable feedback control laws, even with significant model variations.

Keywords:

First-order plus time-delay model Generalized eigenvalue minimization Linear-matrix inequality Robust control Uncertainty

Related Experiment Videos

Area of Science:

Control Systems Engineering
Process Control
Robust Control Theory

Background:

First-order plus time-delay (FOTD) models are common in process control.
Uncertainties in gain, time constant, and delay challenge traditional control design.
Robust control methods are needed to ensure stability and performance.

Purpose of the Study:

To develop a robust control strategy for FOTD systems with parameter uncertainties.
To apply generalized eigenvalue minimization for feedback control law synthesis.
To validate the proposed method through simulations and practical applications.

Main Methods:

Transformation of uncertain FOTD models into a state-space representation with an uncertainty polyhedron.
Rewriting the uncertainty polyhedron as a linear-matrix-inequality (LMI) constraint.
Utilizing generalized eigenvalue minimization to compute the feedback control law.

Main Results:

A stable feedback control law was successfully derived for FOTD systems with significant uncertainties.
The proposed control method demonstrated effectiveness in case studies.
Numerical examples confirmed the accuracy of the model transformation algorithm.

Conclusions:

Generalized eigenvalue minimization is a viable approach for robust control of uncertain FOTD systems.
The developed method offers a stable control solution despite substantial model variations.
The control strategy shows promise for applications like air-handling unit temperature control.