Lyapunov function‐based improved switching command for a boost converter with an inductor–capacitor input filter

Abstract

This study presents a control method for DC–DC switching power converters to avoid the instability caused by the interaction between a tightly controlled switching converter and an input low‐pass filter. The proposed method is based on the Lyapunov stability criterion. A non‐linearised model is established, and the instantaneous quantities of the state variables are considered. The switching command is formulated by calculating the stability of the system. The inductor current and voltage across the filter capacitor, along with the state variables in the switching converter, follow the corresponding references. A boost converter is considered to demonstrate the associated effectiveness. The results of several simulations and experiments pertaining to the start‐up, tracking, and regulation stages validate the proposed control approach. Moreover, the robustness of the approach against variations in the parameters of the controlled system is examined experimentally. To demonstrate the superiority of the proposed method, the method is compared with the proportional–integral, fuzzy, and flatness‐based controllers.

Nonlinear Cascaded Control for a DC-DC Boost Converter

“…For example, in [60], the sliding surface was modified to increase the stability region of the studied system. However, other solutions have also been suggested to avoid instability based on Lyapunov [61]- [65].…”

Voltage regulation of DC–DC boost converter with input filter: hybrid and embedded PWM control approaches

“…The existing active control methods are categorized as: virtual impedance control [10,11], outerloop control [12], and full state control [6,[13][14][15][16][17]. The virtual impedance control approach proposed in [10] is similar to the discussed passive method where a variable structure circuit is designed and applied in parallel or series to the LC filter and stabilization is achieved.…”

“…The mentioned works are developed based on input-output transfer function of the system considering the voltage or current stabilization objectives. On the other hand, full state controllers based on the state-space averaged dynamics or original switched dynamics of the cascaded system are studied in [6,13,14]. Controllers based on the averaged model of the system are applied via fixed frequency Pulse Width Modulation (PWM) block and inherit simple design methodology such that linear control theory is a well-paid tool in controller design for power converter systems.…”

“…Consequently, inspired by the works [19,20], in which original switched dynamics of the systems is studied and Lyapunov based min-projection switching controller is proposed for different DC-DC converters, in [13] stabilizing switching controller for interconnection of LC input filter and boost converter is developed. The proposed switching control approach in [13] results in a variable-frequency switching law such that there is no control over the frequency of switching signal as dwell-time which acts as chattering at steady-state. To overcome this problem and considering other degrees of freedom in designing switching controllers, hybrid dynamical systems framework is developed in [21,22] as a comprehensive tool to study, analyze, and design controllers for the switched systems.…”

“…Accordingly, in the second approach a hybrid controller based on the switching dynamical model of the system is proposed. In [13] Lyapunov matrix-based min-projection control strategy is applied to the studied system where asymptotic stability of the error signals is guaranteed in the sense of Filippov theory. Compared to the classic switching control of switched affine systems where chattering occurs at steady-state and there is no control over switching signal just derived switching condition, the hybrid control framework is equipped with advanced techniques in an integrated framework such that more degree of freedom is available for the designer for both transient and steady-state performance manipulation.…”