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Fractional Order Pole Placement for a buck converter based on commensurable transfer function
Florindo A de C Ayres1, Iury Bessa1, Vinicius Matheus Batista Pereira1
1Department of Electricity, Federal University of Amazonas, Avenida General Rodrigo Octavio, 6200, Coroado I, 69077-000, Manaus, AM, Brazil.
ISA Transactions
|August 11, 2020
Summary
A new fractional order pole placement (FOPP) method enhances controller tuning for DC/DC converters. This novel approach improves performance and robustness, especially under varying load and parametric conditions.
Area of Science:
- Control Engineering
- Electrical Engineering
- Applied Mathematics
Background:
- Classical pole placement is limited for fractional-order systems.
- Fractional-order controllers offer improved system performance.
- Tuning fractional-order controllers requires advanced methodologies.
Purpose of the Study:
- To propose a novel fractional order pole placement (FOPP) methodology.
- To extend classical pole placement for fractional-order controllers.
- To design and experimentally validate FOPP for DC/DC buck converters.
Main Methods:
- Utilizing commensurable transfer functions for fractional-order controllers.
- Placing fractional dominant poles within an extended stability region.
- Digital implementation via Oustaloup approximation and Hankel model reduction.
- Experimental comparison with existing tuning methods under various disturbances.
Main Results:
- The proposed FOPP method successfully designs fractional-order controllers for DC/DC buck converters.
- Experimental results demonstrate superior performance of FOPP compared to other methods.
- FOPP shows enhanced robustness against load and parametric variations.
- Integral indices confirm improved performance, robustness, and control effort.
Conclusions:
- The novel FOPP methodology provides an effective approach for tuning fractional-order controllers.
- FOPP offers significant advantages in robustness and performance for DC/DC converters.
- This method advances the application of fractional-order control in power electronics.
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