This paper deals with the design of new periodic switching control laws for high frequency DC-DC converters. The contributions are twofolds. On a first hand, the DC-DC converter model is rewritten as a periodic switched affine system thanks to a $\delta$-operator formulation, which represents an efficient framework for the numerical discretization at high frequencies. On a second hand, three different control laws are provided, the first one being the usual Lyapunov-based control law and the two others being relaxed versions of this first solution. The benefits of these two new control laws over the usual Lyapunov-based one are demonstrated on a simple example.

中文翻译：

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不确定离散时间切换仿射系统的鲁棒切换控制设计

本文涉及高频 DC-DC 转换器的新周期开关控制规律的设计。贡献是双重的。首先，由于 $\delta$-算子公式，DC-DC 转换器模型被重写为周期性切换仿射系统，该公式代表了高频数值离散化的有效框架。另一方面，提供了三个不同的控制律，第一个是通常的基于李雅普诺夫的控制律，另外两个是第一个解决方案的宽松版本。这两个新的控制律相对于通常的基于李雅普诺夫的控制律的好处在一个简单的例子中得到了证明。