2. The relative degree of a transfer function is defined as the difference between the order...
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2. The relative degree of a transfer function is defined as the difference between the order of denominator polynomial and numerator polynomial. For example, G(s): = 83 s+1 + s² + 2s + 1 has a relative degree of two (3-1=2). Prove that the unit step response for a transfer function with relative degree greater than or equal to two has a inflection. The easiest way to demonstrate this property is to show that the initial derivative is equal to zero: dy(t)| dt It=0 = 0 Hint: use the initial value theorem and the derivative property of the Laplace trans- form. 2. The relative degree of a transfer function is defined as the difference between the order of denominator polynomial and numerator polynomial. For example, G(s): = 83 s+1 + s² + 2s + 1 has a relative degree of two (3-1=2). Prove that the unit step response for a transfer function with relative degree greater than or equal to two has a inflection. The easiest way to demonstrate this property is to show that the initial derivative is equal to zero: dy(t)| dt It=0 = 0 Hint: use the initial value theorem and the derivative property of the Laplace trans- form.
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1 Given Transfer function Gs with relative degree n where Order of denominator polynom... View the full answer
Related Book For
Statistics For Business And Economics
ISBN: 9780321826237
12th Edition
Authors: James T. McClave, P. George Benson, Terry T Sincich
Posted Date:
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