摘要
状态空间方程描述的控制系统分析中广泛应用Lyapunov理论分析稳定性。因此,本文以具有一个零点的三阶电荷泵锁相环为例,建立了电荷泵锁相环的状态空间描述方程,并运用Lyapunov理论对其进行稳定性分析,且推导了其跟踪阶跃响应的能力。为了验证该方法的正确性,本文最后利用Verilog-AMS语言编写了电荷泵锁相环的行为级模型。模型仿真结果表明,控制系统的Lyapunov理论确实可以用来分析电荷泵锁相环的稳定性和阶跃响应。
This paper establishes a nonlinearity model to the charge pump PLL, then analyzes the stability of the third order charge pump PLL with one zero exactly by Lyapunov function. Simultaneity, the tracking performance of the phase step is also been shown in this paper. In order to verify this method, a behavioral model is written in Verilog-AMS which can perform an accurate transient analysis on the CPPLL. The simulation result indicates that the method estimating the stability and step response by Lyapunov function is believable.
出处
《微计算机信息》
北大核心
2008年第32期303-304,286,共3页
Control & Automation
