1.1 FIRST ORDER STEP RESPONSE

 

• A step input implies that there is a sudden change in an input. These are very commonly used to check the behavior of a control system. And most systems operate with stepped changes in values.

 

• These systems follow the general form of exponential decay.

 

 

• Note: the curve above could also go up (just change the values).

 

• These systems are common for simple systems that do not have energy sources. These systems don’t vibrate by themselves, unless shaken periodically.

 

• Consider a first order equation for the position of a spring damper system. Complete the solution.