Math Problem Statement
G_p=G_d=1/(2s^2+9s+2) G_f=G_m=1 G_c=2 y^' (s)=(G_p G_f G_c)/(1+G_p G_f G_c G_m ) y_sp^' Using OCTAVE do the following: Calculate the close-loop response for a unit step change and inverse response. (15) Find the poles and zeros (5) Plot the pzmap, impulse and step response (15) Find the partial fraction and the final inverse function
Solution
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Math Problem Analysis
Mathematical Concepts
Control Systems
Laplace Transforms
Transfer Functions
Poles and Zeros
Partial Fractions
Formulas
Closed-loop transfer function: G_cl = (G_p * G_f * G_c) / (1 + G_p * G_f * G_c * G_m)
Laplace Transform
Inverse Laplace Transform
Partial Fraction Decomposition
Theorems
Pole-Zero Theorem
Final Value Theorem
Partial Fraction Theorem
Suitable Grade Level
Undergraduate-Level (Control Systems)
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