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Robust stability and performance for interval process plants.

Balasaheb M Patre¹, P J Deore

¹SGGS Institute of Engineering and Technology, Vishnupuri, Nanded-431 606, India. bmpatre@yahoo.com

ISA Transactions

|March 28, 2007

Summary

This study presents a robust control design for interval plants, ensuring stability and performance despite parameter uncertainties. The method effectively addresses robust Hurwitz stability and system performance using a novel two-degrees-of-freedom approach.

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Area of Science:

Control Engineering
Systems Theory
Robust Control

Background:

Interval plants present challenges in control design due to parameter uncertainties.
Ensuring both robust stability and performance is critical for reliable control systems.
Existing methods may not adequately address the complexities of interval plant control.

Purpose of the Study:

To develop a two-degrees-of-freedom control design methodology for interval plants.
To guarantee robust stability and performance in the presence of parameter uncertainties.
To establish necessary and sufficient conditions for robust Hurwitz stability of interval polynomials.

Main Methods:

Derived necessary and sufficient conditions for robust Hurwitz stability of interval polynomials.
Applied these conditions to design a robust control system for a second-order unstable interval plant.
Incorporated a pre-filter to achieve desired system performance.

Main Results:

A novel control design methodology for interval plants was successfully developed.
The method guarantees robust stability and performance for systems with bounded parameter uncertainties.
Simulation results validated the efficacy of the proposed control design.

Conclusions:

The proposed control design methodology offers an effective solution for interval plants.
The established conditions for robust Hurwitz stability are crucial for practical applications.
This work contributes to advancing robust control design for uncertain systems.