Stabilization of Chaos With Fpic: Application to Zad-Strategy Buck Converters

Abstract

In this paper a new design for controlling dynamical systems has been applied to buck converters driven with a PWM centered pulse and (Zero Average Dynamics) ZAD-strategy. Chaotic operation has been stabilized with the so-called Fixed Point Induced Control (FPIC) technique. Also, the same converter with delay, whose 1-periodic orbit is always unstable, has been stabilized. Simulations are compared with the TDAS stabilization technique. Once a 1-periodic orbit has been stabilized, the dynamics shows the same characteristics and advantages of the ZAD design, such as robustness, fixed switching frequency (with zero average on the sliding surface) and a low output error.

Chaos stabilization with TDAS and FPIC in a buck converter controlled by lateral PWM and ZAD

“…Based on that point, the control strategy is designed. With the use of this strategy, we look for a fixed switching frequency (with zero average on the sliding surface) and a low output error [10], [20]. The following theorem is related with the control technique FPIC.…”

Analysis and Control of Chaos in the Boost Converter with ZAD, FPIC, and TDAS

“…The technique is useful to obtain a low steadystate error and maintain a fixed switching frequency [20][21][22].…”

“…It is not robust when the system parameters change and for real-time application necessitates a high sampling rate and signal sensing synchronization with a PWM working in centered symmetric mode [20,22].…”

Estimation of parameters in Buck converter with Digital-PWM control based on ZAD strategy

“…This technique was reported recently as a technique to chaos control [3]. The control laws have been varied to parameters estimate.…”

“…For example, the load value is assumed known in many papers [1][2][3], [10]. But in practical situations, the load is an uncertain parameter; therefore a controller with estimation law of the load is convenient.…”