# ControlSystems - Easy way to simplify Closed Loop Equation?

1. Mar 14, 2017

### jdoe10

1. The problem statement, all variables and given/known data
$G_{OL} = \frac{5}{s}$
$G_{CL} = \frac{KG_{OL}}{1+KG_{OL}}$

2. Relevant equations

3. The attempt at a solution
It's pretty easy when the equation is so simple
$G_{CL} = \frac{K\frac{5}{s}}{1+K\frac{5}{s}}$
$G_{CL} = \frac{5K}{s+5K}$

If the open loop equation is really long, is there an easy way to simplify it?

2. Mar 14, 2017

### LvW

What is the emaning of K?
If it is the feedback factor, the expression for Gcl is false.

3. Mar 14, 2017

### donpacino

If youre referring to a non-computer based technique not really. You just need to power through the algebra, you'll get used to it.

You can use tools such as matlab that have the capability to do simplification.

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