1.5 STEADY STATE - EQUILIBRIUM

 

• The steady state of a system is the value it will take after all of the initial (transient) effects have occurred.

 

• This can be done by,

1. Setting all derivatives to zero in the state variable form

2. Ensure all inputs are constants

3. Solve the equations

 

• Consider the steady state solution of the problem below,

 

 

• NOTE: Use this technique with a great deal of caution. Steady state does not imply sitting still, just that initial effects (transients) have settled out. This technique does not recognize systems that have settled into states of periodic motion.