Deriving Percent Overshoot, Settling Time, and Other Performance Metrics

In this video we examine a second order dynamic system and derive how various performance metrics (such as time to first peak, magnitude at first peak, percent overshoot, settling time, and rise time) are related to the damping ratio and natural frequency of the system. Topics and time stamps: 0:00 – Introduction 2:58 – Derive response of 2nd order system 25:29 – Time of First Peak (Tp) 30:30 – Amplitude of First Peak (Mpt) 33:14 – Percent Overshoot (PO) 37:13 – Settling Time (Ts) 47:14 – Rise Time (Tr) 53:48 - Example Lecture notes and code can be downloaded from https://github.com/clum/YouTube/tree/... All Control Theory videos in a single playlist (   • Control Theory  ) #Control #ControlTheory You can support this channel via Patreon at   / christopherwlum   or by clicking on the ‘Thanks’ button underneath the video. Thank you for your help!