Abstract
Departing from analyzing a general input-saturated second-order system, a Lyapunov-based constructive procedure for the output-feedback stabilization of the constantly perturbed DC-DC buck power converter is presented. The proposed scheme also incorporates a Σ-Δ modulator. The obtained control scheme is developed in two parts: a proportional-integral-type family of algorithms devoted to regulating the uncertain system by using measurements of the output voltage and a Σ-Δ modulator dedicated to transforming the control action into a {0, 1} discrete-valued signal. This modulator is a kind of a sliding controller, which can be seen as a subsystem with an on-off output. This combination, the PI-type family of controllers and the Σ-Δ modulator, assures the global stability of the closed-loop system, even if parametric uncertainties are presented. The convergence analysis was carried out using Lyapunov's method. The theoretical results are confirmed using real-time experimental tests, which demonstrate the anti-windup scheme and the Σ-Δ modulator efficiency. The experiments consider the saturation of the control input and disturbances, having obtained convincing results.
Highlights
Direct current to direct current (DC-DC) power converters have been used for a long time and remain valid because new applications continue to appear [1], those related to clean energies
DC-DC power converters are used in electric traction of trolleys [2]
Another common application can be found in uninterrupted power supplies where DC-DC power converters are the main circuit of such devices
Summary
Direct current to direct current (DC-DC) power converters have been used for a long time and remain valid because new applications continue to appear [1], those related to clean energies. Derived from the general case, our strategy to regulate the input-constrained averaged DC-DC buck power converter consists of a Lyapunov-based PI-type controller and the – modulator, acting as a sliding controller, which transforms the averaged input into a discrete set {0, 1} signal directly applicable to the transistor gate. Cases of the proposed PI-type family of controllers, the simple PI scheme and the PI with anti– windup control are experimentally tested under several operation conditions, including disturbances Results indicate that the latter one presents the best performance concerning the settling time and percentage overshoot.
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