Adaptive Control for Buck Power Converter Using Fixed Point Inducting Control and Zero Average Dynamics Strategies

Abstract

In this paper, the output voltage of a buck power converter is controlled by means of a quasi-sliding scheme. The Fixed Point Inducting Control (FPIC) technique is used for the control design, based on the Zero Average Dynamics (ZAD) strategy, including load estimation by means of the Least Mean Squares (LMS) method. The control scheme is tested in a Rapid Control Prototyping (RCP) system based on Digital Signal Processing (DSP) for dSPACE platform. The closed loop system shows adequate performance. The experimental and simulation results match. The main contribution of this paper is to introduce the load estimator by means of LMS, to make ZAD and FPIC control feasible in load variation conditions. In addition, comparison results for controlled buck converter with SMC, PID and ZAD–FPIC control techniques are shown.

Performance evaluation of a DC-AC inverter controlled with ZAD-FPIC

“…2. This model considers the internal resistance of the inductor rL and it has a serial connection with the inductor L and the source Eu as previously tested in [11] and [15]. The model considers the capacitor connected in parallel to the load R. The output signal can be measured by the resistance R as vc = iR * R. Herein, the current flowing through the inductor is iL and the current in the load iR.…”

“…This technique was proposed in [8], and later tested numerically and experimentally in [11], [16], and [17]. This technique basically consists of defining a function and forcing an average value of zero at each sampling period.…”

“…This technique is validated by analytical and numerical results while changing the parameters that determine the stability of the system [11]. Fixed point inducting control (FPIC) is also used to maintain system stability.…”

Simulation, bifurcation, and stability analysis of a SEPIC converter controlled with ZAD

“…To determine the presence of chaos [16,28] and its respective control, we will use the values with which the flip bifurcation was obtained. Figure 7 shows the existence of positive Lyapunov exponents for values of 3 greater than 51.96 .…”

“…( 2 ( ) − 2 ) + 3 ( 3 ( ) − 3 ) + 4 ( 4 ( ) − 4 ) and from this, the calculation of duty cycle has been done with which the system is evolved in a period of time T[15]. Finally, bifurcations that arise in the evolution of 1-periodic orbits have been characterized and the presence of chaos has been determined from certain values of constants associated with the commutation surface, which were taken as bifurcation parameters[16,17].…”