摘要
针对自动控制原理中的典型二阶系统,以串联RLC电路为研究对象,建立了RLC电路系统的微分方程、传递函数、动态结构图以及系统状态空间方程,利用现代控制理论分析了系统的能控、能观性;介绍了阻抗法建立RLC系统的动态数学模型,并利用Matlab中的Simulink建立了系统动态仿真模型,同时进行了单位阶跃响应与单位斜坡的响应的分析与研究,进一步充实了实验教学内容,便于实现理论与仿真实验的有机结合。
In view of the automatic control principle of the typical second-order system, this paper established differential equation,transfer function,dynamic structure diagram and system state space equation for a series-RLC circuit. And it analyzed controllability and observability of the system with modern control theory. Impedance method was particularly introduced to establish the dynamic mathematical model of the RLC system,and the system dynamic simulation model was established based on Simulink of Matlab. And it analyzed and studied the unit-step response and the unit-ramp response of the system,in order to enrich the experimental teaching content and realize the combination of theory and simulation experiments.
出处
《实验室研究与探索》
CAS
北大核心
2016年第10期95-98,共4页
Research and Exploration In Laboratory
基金
唐山学院教研项目(150271)
