PWM DC-DC变换器混杂动态系统的能控性和能观性

在PWM DC-DC变换器研究中引入混杂动态系统和切换线性系统的概念和相关理论,研究PWM DC-DC变换器的能控性和能观性.首先将PWM DC-DC变换器建立为周期型切换线性系统模型,然后根据周期型切换线性系统的一个周期之后和多周期的能控性和能观性定义及定理,以Buck PWM变换器为例,分析变换器一个周期之后和多周期的能控性和能观性,最后对Buck PWM变换器进行能控性实验验证.实验结果表明,在负载阶跃变化的情况下,变换器输出完全可以控制并且稳定在设计值,这和Buck PWM变换器作为周期型切换线性系统模型的能控性分析结果是一致的.本文的研究还表明,研究方法也适应于其他功率变换器能控性和能观性的研究.

Controllability and Observability of PWM DC-DC Converters as Hybrid Dynamic Systems

Controllability and observability are the two basic characteristics of any control systems, but there is no study on controllability and observability of PWM DC-DC converters. The concept and theory of hybrid dynamic systems and switched linear systems Were introduced to the study of PWM DC-DC converters. At first, PWM DC-DC converters Were built as periodic switched linear system models. Then according to their definition and sufficient and necessary condition in one-period and multi-period of periodic switched linear systems, the controllability and observability in one-period and multi-period of Buck PWM converter was analyzed as an example. At last, controllability experiment of Buck PWM converter with load current step was carried out to verify that output is completely controlled. The experiment results are the same with the controllability analysis of Buck PWM converter as periodic switched linear system model. The analysis method of controllability and observability for PWM DC-DC converters can be extended to other power converters for their study.