Title :
The symmetric Rouche´s form for robustness
Author :
El-Sakkary, Ahned Kamal
Author_Institution :
Dept. of Syst. Eng., King Fahd Univ. of Petrol. & Miner., Dhahran, Saudi Arabia
fDate :
6/1/1992 12:00:00 AM
Abstract :
The objective of this work is to bring to control literature the strengthened and symmetric version of the classical Rouche´s form. The author discusses the need for Rouche´s form as a tool for the analysis of linear time-invariant control systems. A robustness criterion is given, and its corresponding geometrical interpretation is obtained. A simplified implementation of the symmetric form is obtained, and its relation to passivity is highlighted. An application to time delay systems is given
Keywords :
control system analysis; delays; linear systems; stability; control system analysis; geometrical interpretation; linear time-invariant control systems; passivity; robustness; symmetric Rouche´s form; time delay systems; Control systems; Delay effects; Open loop systems; Robust stability; Robustness; Stability criteria; Systems engineering and theory; Testing; Transfer functions; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
