Author, as appears in the article.: Hamza, R; Feki, M; Derbel, N; Robert, B G M; El Aroudi, A
Department: Enginyeria Electrònica, Elèctrica i Automàtica
URV's Author/s: El Aroudi Chaoui, Abdelali
Keywords: Subharmonics State space model State space methods State - space models Power converters Nonlinear analysis Multi-cell converters Multi-cell converter Lyapunov stability Feedback Errors Electrónica de potencia Electric inverters Duty-cycle Duty cycle saturation Dc-dc converters Converter controls Converter control Controllers Caos Bifurcations chaos Bifurcation (mathematics)
Abstract: In this work, a zero static error proportional controller for a two-cell DC-DC buck converter is synthesized and analyzed. Under a traditional proportional control scheme, the system presents a constant error of the current supplying the output load. As the proportional feedback gain is increased, the average static error decreases. However, subharmonic oscillations and chaotic behavior emerge beyond successive bifurcations. To achieve zero current and zero voltage static error, we suggest a modification of the traditional proportional controller. By optimizing the feedback gain, the settling time is also decreased. Then, using nonlinear analysis and Lyapunov stability theory, we prove that zero static error is achieved even in the presence of duty cycle saturation. Numerical simulations are presented to confirm our theoretical results. © 2011 World Scientific Publishing Company.
Thematic Areas: Multidisciplinary sciences Multidisciplinary Modeling and simulation Mathematics, interdisciplinary applications Mathematics, applied Matemática / probabilidade e estatística Interdisciplinar Geociências General engineering Ensino Engineering (miscellaneous) Engenharias iv Engenharias iii Engenharias i Economia Ciências biológicas i Ciências agrárias i Ciência da computação Biodiversidade Astronomia / física Applied mathematics
licence for use: https://creativecommons.org/licenses/by/3.0/es/
Author's mail: abdelali.elaroudi@urv.cat
Author identifier: 0000-0001-9103-7762
Record's date: 2024-10-12
Papper version: info:eu-repo/semantics/acceptedVersion
Link to the original source: https://www.worldscientific.com/doi/abs/10.1142/S0218127411028465
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Papper original source: International Journal Of Bifurcation And Chaos. 21 (1): 341-361
APA: Hamza, R; Feki, M; Derbel, N; Robert, B G M; El Aroudi, A (2011). Controller design and analysis for a two-cell DC-DC converter in the presence of saturation. International Journal Of Bifurcation And Chaos, 21(1), 341-361. DOI: 10.1142/S0218127411028465
Article's DOI: 10.1142/S0218127411028465
Entity: Universitat Rovira i Virgili
Journal publication year: 2011
Publication Type: Journal Publications
Repositori URV