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Improved static and dynamic performances of a two‐cell DC–DC buck converter using a digital dynamic time‐delayed control
Author(s) -
Kaoubaâ Karama,
PelaezRestrepo J.,
Feki M.,
Robert B. G. M.,
Aroudi A. El
Publication year - 2012
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.735
Subject(s) - control theory (sociology) , settling time , controller (irrigation) , buck converter , converters , computer science , bifurcation , nonlinear system , digital control , pid controller , electronic circuit , waveform , voltage , mathematics , engineering , control (management) , step response , electronic engineering , control engineering , temperature control , physics , agronomy , electrical engineering , artificial intelligence , quantum mechanics , biology
SUMMARY Multi‐cell converters have been developed to overcome shortcomings in usual switching devices. The control system in these circuits is twofold: first, to balance voltages of the switches and second to regulate the load current to a desired value. However, with a purely proportional controller, the system presents a static error. With a PI controller the static error is annihilated, but at the expense of shortening the stability region and increasing settling time. In this work, a zero static error dynamic controller for a two‐cell DC–DC buck converter is designed. To achieve zero current error, we propose a generalized scheme of a dynamic controller. Then, using nonlinear analysis and Lyapunov stability theory and bifurcation prediction tools, we prove that zero static error is achieved. The proposed controller outperforms the PI controller in terms of settling time in the presence of saturating effect during the start‐up transients. Numerical simulations in the form of time domain waveforms and bifurcation diagrams from switched circuit‐based model are presented to confirm our theoretical results. Copyright © 2010 John Wiley & Sons, Ltd.