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Stabilizing frequency weighted controller reduction approach.
Amirhossein Yousefi1, Boris Lohmann
1Institute of Automatic Control, Technical University of Munich, Boltzmannstr. 15, D-85748 Garching, Germany. Yousefi@tum.de
ISA Transactions
|March 14, 2007
Summary
This study presents a new framework for controller reduction, ensuring closed-loop system stability. It offers a complementary algorithm for creating stabilizing, reduced-order controllers for practical applications.
Area of Science:
- Control Systems Engineering
- Applied Mathematics
Background:
- Modern controller design packages often yield complex controllers.
- Instability issues arise in frequency weighted controller reduction methods using similarity transformations.
Purpose of the Study:
- To reduce the complexity of controllers for practical applications.
- To develop a framework for parameterizing reduced controllers that preserve closed-loop stability.
Main Methods:
- A framework is proposed to parameterize reduced controllers.
- A complementary algorithm based on the two-sided frequency weighted reduction method is presented.
- A sufficient condition for the existence of the proposed framework is derived.
Main Results:
- The proposed framework allows for the parameterization of reduced controllers.
- The complementary algorithm yields a stabilizing, stable reduced controller.
- A condition for the existence of this framework has been established.
Conclusions:
- The developed methods address controller complexity while maintaining system stability.
- The findings contribute to the practical application of modern control design techniques.
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