The response x(t) of a system to a forcing function u(t) is determined by the differential equation d^2x/dt^2 + 2dx/dt + 5x = 3du/dt + 2u (a) Determine the transfer function characterizing the system. (b) Write down the characteristic equation of the system. What is the order of the system? (c) Determine the transfer function poles and zeros, and illustrate them diagrammatically in the s plane.
Added by Angela V.
Close
Step 1
The differential equation is: dr +2d +Sr= 3 du 42u d/ dt We can solve for du using the substitution u(t)=-S(t), and then solve for u(t). u(t)= -S(t) du= 3 du 42u u(t)=-3du/42u u(t)=-9du/42u Show more…
Show all steps
Your feedback will help us improve your experience
Adi S and 75 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The response x(t) of a system to a forcing function u(t) is determined by the differential equation model d^2x/dt^2 + 2dx/dt + 5x = 3du/dt + 2u (a) Determine the transfer function characterizing the system. (b) Write down the characteristic equation of the system. What is the order of the system? (c) Determine the transfer function poles and zeros, and illustrate them diagrammatically in the s plane.
Madhur L.
The response x(t) of a system to a forcing function u(t) is determined by the following differential equation d^2x/dt^2 + 2dx/dt + 5x = 3du/dt + 2u (a) Determine the transfer function characterizing the system. (b) Write down the characteristic equation of the system.
Sri K.
A system is described by the following differential equation: d^3y/dx^3 + dy/dx^2 + d^2x/dt^2 + dx/dt + 4dtz + 6dy + y = dt^3 + 3 - 5dtz + dt + 7x. Find the expression for the transfer function of the system, Y(s)/X(s).
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD