DocumentCode :
863949
Title :
A contribution to root-locus techniques for the analysis of transient responses
Author :
Matkowsky, B.J. ; Zemanian, A.
Author_Institution :
New York University, New York, NY, USA
Volume :
7
Issue :
3
fYear :
1962
fDate :
4/1/1962 12:00:00 AM
Firstpage :
69
Lastpage :
73
Abstract :
A method involving root-locus techniques is developed by which one can analyze transient responses by ascertaining bounds on them. In particular, the following questions are considered: 1) Given a rational system function W(s) , can another rational M(s) (of simpler form) be constructed such that, for sufficiently large values of the constant multiplier B of M(s) , the corresponding transient responses satisfy the condition, m(t) \\geq w(t)? 2) If so, can a range of values for B be determined for which the same condition holds? Necessary conditions for an affirmative answer to question 1) are first developed and then sufficient conditions are obtained. Then, a general method using root-locus techniques is developed for answering question 2). Certain special cases are studied in detail and necessary and sufficient conditions are obtained, thus leading to the best possible bound for the given form of M(s) . Finally, a number of examples are given.
Keywords :
Board of Directors; Poles and zeros; Senior members; Sufficient conditions; Time domain analysis; Transfer functions; Transient analysis; Transient response;
fLanguage :
English
Journal_Title :
Automatic Control, IRE Transactions on
Publisher :
ieee
ISSN :
0096-199X
Type :
jour
DOI :
10.1109/TAC.1962.1105446
Filename :
1105446
Link To Document :
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