Problem 1: Note: Include all your work Given: System is modeled as 3rd order differential equation. y + 5ỹ + 17ý + 13 = ù + 5u Find: 1) State Space system representation 2) Find system Transfer function. 3) Using Transfer function and inverse Laplace transform find system Impulse

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Problem 1: Note: Include all your work
Given: System is modeled as 3rd order differential equation.
ÿ + 5ÿ + 17ý + 13 = ủ + 5u
Find:
1) State Space system representation
2) Find system Transfer function.
3) Using Transfer function and inverse Laplace transform find system Impulse and step
response. Plot them using Matlab
4) Using Matlab "impulse" and "step" functions find system responses.
Transcribed Image Text:Problem 1: Note: Include all your work Given: System is modeled as 3rd order differential equation. ÿ + 5ÿ + 17ý + 13 = ủ + 5u Find: 1) State Space system representation 2) Find system Transfer function. 3) Using Transfer function and inverse Laplace transform find system Impulse and step response. Plot them using Matlab 4) Using Matlab "impulse" and "step" functions find system responses.
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