Midterm Exam

Midterm Exam - Consider a simplified car suspension system...

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b1 Control Systems MEC709 Midterm Exam Problem 1. (10 marks) Consider the following Transfer Function: = ( + ) Gs 10s s 1 a) Represent the poles of G(s) in the plane b) Draw an approximate polar plot for G( jw ) and specify the following: limw 0|Gjw| , →∞ limw |Gjw| , limw 0 ( ) G jw , →∞ limw Problem 2. (10 marks) Find the Laplace transform of the following functions: a) b) Problem 3. (10 marks) Solve the following differential equation by means of Laplace transform. Assume zero initial conditions and express the solution for .
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Control Systems MEC709 Midterm Exam Problem 4. (10 mark) Consider the system shown in the figure below: Determine the range for K for stability. Problem 5. (10 marks)
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Unformatted text preview: Consider a simplified car suspension system shown below: Control Systems MEC709 Midterm Exam Write the differential equations governing the system with and as your variables. a) Assuming zero initial conditions, take the Laplace transform of the differential equations obtained and find the transfer function Solutions: 1) The same as the solution below. However you must consider 10 in the numerator of G(jw). The limit will be -10T instead of T as w tends to 0. Control Systems MEC709 Midterm Exam Control Systems MEC709 Midterm Exam 2) 3) 4) Control Systems MEC709 Midterm Exam 5. Control Systems MEC709 Midterm Exam...
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Midterm Exam - Consider a simplified car suspension system...

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