How to find out which pole goes to which infinity zero in root locus












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$begingroup$


Branches are colored in MATLAB's rlocus function. How can it be easily determined, without using a software, that which pole-zero are at the both ends of a branch? For example, in the following transfer function,



$G(s)H(s)=dfrac{K}{s(s+1)(s^2+4s+13)}$



the result with MATLAB would be



enter image description here



Why don't the branches that start at complex poles go towards the right hand infinity zeros, and branches that start at real poles go to the left hand ones?










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  • $begingroup$
    What do you mean by right hand infinity zero?
    $endgroup$
    – Felix Crazzolara
    Jan 10 at 23:03
















0












$begingroup$


Branches are colored in MATLAB's rlocus function. How can it be easily determined, without using a software, that which pole-zero are at the both ends of a branch? For example, in the following transfer function,



$G(s)H(s)=dfrac{K}{s(s+1)(s^2+4s+13)}$



the result with MATLAB would be



enter image description here



Why don't the branches that start at complex poles go towards the right hand infinity zeros, and branches that start at real poles go to the left hand ones?










share|cite|improve this question









$endgroup$












  • $begingroup$
    What do you mean by right hand infinity zero?
    $endgroup$
    – Felix Crazzolara
    Jan 10 at 23:03














0












0








0





$begingroup$


Branches are colored in MATLAB's rlocus function. How can it be easily determined, without using a software, that which pole-zero are at the both ends of a branch? For example, in the following transfer function,



$G(s)H(s)=dfrac{K}{s(s+1)(s^2+4s+13)}$



the result with MATLAB would be



enter image description here



Why don't the branches that start at complex poles go towards the right hand infinity zeros, and branches that start at real poles go to the left hand ones?










share|cite|improve this question









$endgroup$




Branches are colored in MATLAB's rlocus function. How can it be easily determined, without using a software, that which pole-zero are at the both ends of a branch? For example, in the following transfer function,



$G(s)H(s)=dfrac{K}{s(s+1)(s^2+4s+13)}$



the result with MATLAB would be



enter image description here



Why don't the branches that start at complex poles go towards the right hand infinity zeros, and branches that start at real poles go to the left hand ones?







linear-algebra control-theory






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asked Dec 17 '18 at 12:28









Hossein AbbasiHossein Abbasi

11




11












  • $begingroup$
    What do you mean by right hand infinity zero?
    $endgroup$
    – Felix Crazzolara
    Jan 10 at 23:03


















  • $begingroup$
    What do you mean by right hand infinity zero?
    $endgroup$
    – Felix Crazzolara
    Jan 10 at 23:03
















$begingroup$
What do you mean by right hand infinity zero?
$endgroup$
– Felix Crazzolara
Jan 10 at 23:03




$begingroup$
What do you mean by right hand infinity zero?
$endgroup$
– Felix Crazzolara
Jan 10 at 23:03










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