Paper Info
Title
On The Angles Of Root Loci Branches That Arrive Or Depart From Breakaway Points
Abstract
In most textbooks on principles of automatic control, very limited content is given on the angles of arrival or departure from breakaway points of root loci. Sometimes, for simplicity of description, the angles of arrival or departure from breakaway points are given by 180 degrees/ l. apart, where l denotes the number of branches of root loci that meet at the breakaway point; however, no detailed proof is given for this result. In this paper, detailed proof is provided for the angles apart of the root loci branches from the breakaway point. It is proved that, the result is valid with strictly positive real open loop transfer function in both cases of unit negative feedback and unit positive feedback. The proof is based on the property of angles of departure or arrival and the angle condition of the root locus itself. Several examples are given to support the proposed proof. The proposed results can be lectured to students for better understanding and more precise plot of root locus.
Year
DOI
Venue
2019
10.1109/ICCA.2019.8899934
2019 IEEE 15TH INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION (ICCA)
Keywords
Field
DocType
Control Theory, root locus, breakaway points, angles apart of the root loci branches, control education
Angle condition,Mathematical analysis,Control theory,Closed-loop transfer function,Negative feedback,Automatic control,Positive feedback,Root locus,Engineering,Locus (genetics)
Conference
ISSN
Citations 
PageRank 
1948-3449
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Bing Zhu19914.45
Yan Lin216715.31
Zongyu Zuo356030.83