Abstract
It is well known in the literature studies that the theoretical time‐optimal control of boost converters can be achieved using switching surfaces based on the converter’s natural state trajectories. However, this method has two important drawbacks: First, the transient current peak of the time‐optimal controller is far beyond the current limitations of related circuit elements in many practical cases. Second, switching based on the converter’s natural trajectories has high computational complexity and high dependence on circuit parameters. In this paper, based on the hybrid dynamical model of the converter and geometrical representation of its corresponding vector fields, a proximate constrained time‐optimal sliding mode controller is proposed. The proposed method has a fast response that is near that of a time‐optimal controller, with less computational complexity and sensitivity to parameter changes. The proposed method and its relevant theoretical framework are validated on an experimental setup with a boost converter prototype and an eZdsp TMS320F2812 processor board.
Highlights
Because of high demand for renewable-energy (RE) sources, power electronic systems as links between sources, storages, and loads play an increasingly important role in modern power systems [1]
Many of these RE applications need higher performance power converters with new control strategies. erefore, any improvement of boost converters’ performance such as faster transient response or better response to source voltage and load variations would be bene cial and welcomed in the eld of RE systems. e common approaches to control the boost converter and other DC-DC power converters are based on linearized averaged models and standard frequency-domain design methods [3]
There has been a vast body of work on time-optimal control (TOC) of boost converters [10, 13, 14], most of the focus has been on optimization of speci c controllers or optimization based on approximate ideal waveforms of the converter [15,16,17]
Summary
Because of high demand for renewable-energy (RE) sources, power electronic systems as links between sources, storages, and loads play an increasingly important role in modern power systems [1]. In many RE applications, such as fuel cell and photovoltaic energy systems, the required load voltage is higher than the source voltage In these cases, boost converters as a small-sized, low-cost, and power-e cient DCDC converter are of special importance [2]. Some linear approximations for this optimal switching surface in the buck converter are proposed to relieve the computational complexity and circuit parameter dependence [7, 13, 16]. Besides computational complexity and circuit parameter dependence, the traditional time-optimal control of the boost converter has two other important drawbacks. E proposed method keeps the inductor current within the determined limits during the transient stage and, at the same time, on the switching surface in the other regions of the state space; the switching surface keeps the state vector on a linear approximation of the ideal switching surface to achieve fast and precise response. An experimental prototype based on an eZdsp TMS320F2812 processor board with a sensor and signal conditioning circuit and a boost converter is built to verify our theoretical analysis and effectiveness of the proposed method
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