Time Domain Analysis: Performance Metrics for a First Order System

In this video we introduce the concept of time domain analysis for dynamic systems. We examine a first order dynamic system and derive how various performance metrics (such as steady state error, settling time, and rise time) are related to the parameters of the system.

Topics and time stamps:
0:00 – Introduction to time domain analysis
6:05 – Transient vs steady state behavior
15:49 – 1st order system response to a step
18:24 – Steady state error
19:35 – Settling time
30:50 – Rise time
33:29 – 1st order system response to a ramp, steady state error
38:31 – Example with a thermal system
58:55 – Show that performance metrics are independent of initial conditions
1:16:00 – Summary and conclusions

Additional videos in this series:
-Transfer Functions: Introduction and Implementation (   • Transfer Functions: Introduction and ...  )
-Block Diagram Algebra (   • Block Diagram Algebra  )
-Final Value Theorem (   • Final Value Theorem  )
-DC Gain (   • DC Gain  )
-Time Domain Analysis: Performance Metrics for a First Order System (this video)
-Deriving Percent Overshoot, Settling Time, and Other Performance Metrics (   • Deriving Percent Overshoot, Settling ...  )