Control System

[Rowell]

To whom it may concern:

 

 

Derive the following formulas;

 

   —->  Tc = 1/a

   —->  Tr = 2.2/a

   —->  Ts = 4/a

 

and Find the time constant

 

 

 

                        G(s)

 

R(s)  

---

>  a/(s+a)  

---

>  C(s)

 

 

this problem is assigned to my instructor and I don’t know how to derive it… is there any somebody can help on how or just an advice on how to get the above formulas….. really need help here….

 

 

my email is: [email protected]

[Dheeraj Kumar]

 

Standard Second Order Equation for Step Input

 

wysiwyg_imageupload:11251:

 

 

 

I have taken Step Input because G(s)=a/(s⁰)(s+a)

---

> S⁰ means Step Input

 

comparing above two equations…

 

Time Constant (T)= (1/ ??_n)

 

?_n= ?a rad/sec.

 

2??_n= 1 or

 

?= 1/2(?a)

 

so Time Constant(T)=0.5

[Author]

Posts