摘要
在分析Lyapunov稳定性理论局限性的基础上,提出了一种新型的基于计算机仿真的非线性定常控制系统稳定性分析方法,规范和简化了Lyapunov函数的选择办法,扩展了Lyapunov稳定性理论。将Lyapunov稳定性判据第二法(即直接法)中的有关局部稳定性的充分条件扩展成为充分必要条件。给出了该方法的理论证明,并且将该方法成功地在MATLAB环境下应用于单级倒立摆模糊控制系统的稳定性分析。实验结果证明该方法是有效的。
A new stability criterion based on computer simulation for nonlinear time-invariant systems was proposed. It expanded the sufficient conditions of Lyapunov＇s direct method into necessary and sufficient conditions for local stability. It provided a standard and simple way to select the Lyapunov＇s function. The relevant proof was given to justify this stability criterion. As an application example, in the environment of MATLAB this method was applied to a fuzzy control system of a single-link inverted pendulum. The experiment results show that this stability criterion is valid.
出处
《系统仿真学报》
CAS
CSCD
北大核心
2008年第13期3468-3471,共4页
Journal of System Simulation
基金
国家863专项经费资助(2002AA2Z4141)
关键词
非线性定常系统
稳定性判据
计算机仿真
倒立摆
nonlinear time-invariant system
stability criterion
computer simulation
inverted pendulum
