摘要
探索Rouche定理在线性定常系统稳定性鲁棒分析中的应用。首先,将Rouche定理用于单输入单输出(SISO)系统的稳定性裕量分析,导出了该系统的相位裕量和增益裕量表达式;其次,借助于Rouche定理导出了判定区间系统稳定性的一个简单充要不等式;并通过实例说明了Rouche定理在鲁棒分析方面所具有的优越性。
An applicability of Rouche theorem in stability robust analysis for linear time-invariant systems is explored.We employ Rouche theorem to single-input single-output (SlSO)systems, and the expressions of stability margins, namely phase margin and gain margin are derived.A necessary and sufficient inequality for stabiity criterion of interval systems is derived via Rouche theorem.An example is given to show that Rouche theorem is superior for stability robust analysis of linear time-invariant systems.
出处
《四川轻化工学院学报》
2003年第4期26-30,共5页
Journal of Sichuan Institute of Light Industry and Chemical Technology
关键词
鲁棒性
相位裕量
增益裕量
区间系统
robustness
phase margin
gain margin
interval systems