In The Name of Allah The Most Beneficent The Most Merciful. ECE4545: Control Systems Lecture: Transient Characteristics. Engr. Ijlal Haider UoL , Lahore. Characteristics of System Response.
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Were the spring-mass system completely lossless, the mass would oscillate indefinitely, each bounce of equal height to the last. This hypothetical case is called undamped.
If the system contained high losses, for example if the spring-mass experiment were conducted in a viscous fluid, the mass could slowly return to its rest position without ever overshooting. This case is called overdamped.
Commonly, the mass tends to overshoot its starting position, and then return, overshooting again. With each overshoot, some energy in the system is dissipated, and the oscillations die towards zero. This case is called underdamped.
Between the overdamped and underdamped cases, there exists a certain level of damping that the system will just fail to overshoot and will not make a single oscillation. This case is called critical damping.