Compensation of a control system using root locus method with the aid of mat lab

Τίτλος

Compensation of a control system using root locus method with the aid of mat lab

Θέμα

MATLAB

Δημιουργός

Stavrinou, Ioannis

Πηγή

Higher Technical Institute

Το πλήρες κείμενο είναι διαθέσιμο από το Υπουργείο Ενέργειας, Εμπορίου Βιομηχανίας και Τουρισμού.

Εκδότης

Library of Cyprus University of Technology

Ημερομηνία

2001

Συνεισφέρων

Kassinopoulos, Marios

Μορφή

pdf

Γλώσσα

en

Τύπος

text

Αναγνωριστικό

EED0389

Σύνοψη

The purpose of the work is to put a control system under given
specifications through root locus method by the used ofMATLAB.
The relative stability and the transient performance of a closed loop
control system are directly related to the location of the closed roots of
the characteristic equation in the s-plane.
The root locus technique is a graphical method for sketching the
locus of roots of a system in the s-plane as a parameter is varied. In fact
the root locus method provide the engineer with a measure of the
sensitivity of the roots of~the system to a variation of the parameter
being considered.
The root locus method provides graphical information, and therefore
an approximate sketch can be used to obtain qualitative information
concerning the stability and performance of the system. Furthermore
the locus of roots of the characteristic equation of a multi-loop system
may be investigated as readily as for a single-loop system.
The performance of a system can be described by requiring a certain
peak time (Tp), maximum overshoot, and a settling time (Ts) for a step
input. In this case when the gain variation does not result to the desired
specifications, a lead compensator is needed to improve the transient
response by decreasing the percentage overshoot and the settling time.
On the other hand, when the performance is specified by the maximum
steady-state error values, the lug compensator is needed to improve the
specifications of the steady-state error.
The plot of the root locus and transient response can be done
accurate by using MATLAB. Matlab also helps you to work faster with
plots and there analysis.
An easy and simple way to check the specifications of a system
especially when is complicated is the SIMULINK of MA TLAB.