Version 1.0, August 31, 2001, Copyright, Hugh Jack 1993-2001

5.3.4 Stability

 

· Basically a system will become unstable if a transfer function starts to grow. We can predict this by looking at the characteristic equations.

 

· The characteristic equation is the denominator of the transfer function.

 

· If any of the roots of the equation are less than one, then the system can become unstable, and most likely will.

 

 

· Determine if the function below is stable, if y is the output,