• 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.