Controller Design and Analysis for a Two-Cell Dc-Dc Converter in the Presence of Saturation

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.

Fuzzy Second-Order Sliding Mode Control Design for a Two-Cell DC-DC Converter

“…For the sake of reducing the number of parameters of the system, the following dimensionless and simplified model can be considered [27]:…”

“…Equation ( 35) can be simplified after substituting Δσ i (k) ≡ σ i (k + 1) − σ i (k) and equation (27) at k + 1 time steps:…”

Optimal control of a single‐phase H‐bridge DC–AC inverter

“…To overcome these limitations, some improvements of the linear techniques have been suggested. In [17], the linear controller has been improved using Lyapunov theory to control the two-cell DC-DC buck converter and obtain a global fast response with zero steady-state error in the presence of the duty cycle saturation. The time-delayed feedback controller is another method that has been widely used in conjunction with the proportional controller in order to improve the DC-DC converter behavior [18][19][20] as well as the H-bridge inverter [21][22][23].…”

Quasi-Periodicity, Chaos and Coexistence in the Time Delay Controlled Two-Cell DC–DC Buck Converter

“…In [Robert & El Aroudi, 2006], authors have shown that the proportional controller based PWM control signal leads to chaotic behavior in the multicell converter when the gain is raised beyond a critical value. To improve its performance, some new controller schemes have been proposed to control the two-cell buck converter Hamza et al, 2011;Kaoubaâ et al, 2012]. Nevertheless, a chaotic behavior still exists outside a stability region.…”