In this video we show how to transform a linear state space representation of a dynamic system to an equivalent transfer function representation. We will derive the transformation of G(s) = C*(s*I-A)^-1*B+D. We will apply this to an example and show how to use Matlab’s various functions (ss2tf, tf, tfdata, tf2zpk, etc.) to help with this transformation. Finally, we use Simulink to show that both representations yield the same input/output relationship.
Topics and timestamps:
0:00 – Introduction
2:02 – State space to transfer function equation
17:15 – Example using a DC motor
26:54 – ss2tf in Matlab
40:01 – Comparing results in Simulink
47:20 - Summary
Lecture notes and code can be downloaded from https://github.com/clum/YouTube/tree/main/Controls22
All Matlab/Simulink videos in a single playlist (https://www.youtube.com/playlist?list=PLxdnSsBqCrrEU0dLSrTcl0-w9cVYKMTaF)
#Matlab #Simulink
All Control Theory videos in a single playlist (https://www.youtube.com/playlist?list=PLxdnSsBqCrrF9KOQRB9ByfB0EUMwnLO9o)
#Control #ControlTheory
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