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4. For each of the transfer functions shown below, find the locations of the poles and...
i. For the transfer function s+2 T(S) - 2 +9 a. find the locations of the poles and zeros (3 marks) b. plot them on the s-plane (3 marks) c. write an expression for the general form of the step response without solving for the inverse Laplace transform (2 marks) d. State the nature of the response (2 marks)
Spring 2017 Name: 1. (a) Find the transfer function, Go)- v,(s),(s), for the network shown (b) Find the shown below. e ramp response for the given system. (t1 fer function, G(S)-x (G)/F(S) of the translational mechanical system shown below x(t) f, 3. For each of transfer functions shown below, find the oestions of the potes ans Plot them on the 5-plane, Rnd then write an expression for de geterst form of me response without solving for the inverse Laplace tranform....
Problem 1: The impulse response ht) for a particular LTI system is shown below hit) Be5e (4 cos(3t)+ 6 sin(3t) e. u(t) 1. Plot the impulse response for h(t) directly from the above equation by creating a time vector 2. Use the residue function to determine the transfer function H(s). Determine the locations of the poles and zeros of H(s) with the roots function, and plot them in the s-plane (x for poles, o for zeros). Use the freas function...
' 1. Review Question a) Name three applications for feedback control systems. b) Functionally, how do closed-loop systems differ from open-loop systems? c) Name the three major design criteria for control systems. d) Name the performance specification for first-order systems. e) Briefly describe how the zeros of the open-loop system affect the root locus and the transient response. What does the Routh-Hurwitz criterion tell us? f) 2. Given the electric network shown in Figure. a) Write the differential equation for...
(1) Plot the poles and zeros of the following transfer functions. Also, identify if the transfer function represents a stable system. (15) (s+2)(s-5) (s-4)(s²+6s)(s²+9) a. s(s+4)(s+7) b. (s+1)(s+7)(s+9) (s+2)(s+3)(s²+25) (s3+13s2+42s)(s+1)(s²+8s+16) C. (2) Draw the fre meney raenoncafor the Cllawing tane fnetiene
Poles and Zeros For the transfer function given: 0.85 8-44.64 G(s) = 긁+0.83 12.00 Part A-Poles Find the system pole 8 Submit Part B-Poles Find the system pole s2 Submit Part C-Zeros Find the system zero Submit Part D-Type of Response Based on the locations af the poles and zeros, what will be the response to a unit step inpue? O Harmonic Oscillations (Marginally stable) Oscillatory motion with exponential decay tending to zero (stable O Critically damped exponential decay (stable)...
17. For each of the dynamical systems shown below (1) find the poles and the zeros (2) write an expression for the general form of the step response without solving for the inverse Laplace transform 20 c) G(s) +6S +144 d) G(s)- s +-9 e +10) (s + 5) 2
Show all your work leading up to tne laT JUlu (1) Plot the poles and zeros of the following transfer functions. Also, identify if the transfer function represents a stable system. (20) (s+2)(s-5) (s+4) (s2+6s)(s2 +16) s(s+4)(s+7) (s+2) (s+3) (s2+9) (s2+4s2+13s) (s-1)(s2+10s+34) C. (22 Show all your work leading up to tne laT JUlu (1) Plot the poles and zeros of the following transfer functions. Also, identify if the transfer function represents a stable system. (20) (s+2)(s-5) (s+4) (s2+6s)(s2 +16)...
alpha = 5.0 beta = 7.1 zeta = 6.9 PROBLEM 1 (20 points). Given the filter with transfer function +28-1+-2 11(2) = 1-(α/10)2-4 (a2/100):-2 Use MATLAB to Find the zeros and poles of H() Plot the poles and zeros on the -plane. The pot should include the uit circle. Plot the magnitude response (in dB) Plot the phase response. Deliverables: Your MATLAB code used to solve Problem 1 and all the generated plots. PROBLEM 1 (20 points). Given the filter...
Assn 2 (1)- Word Tell me what you want to do View e 1 Normal , 2. H. Lt ! İNo Spec Heading 1 Heading 2 Tale Subtitle Subtle finn Emphasis intense E- Shong Styles Paragraph Process Control- Assn 2 Problem 3: Find the characteristics equation, the poles and zeros for the following transfer functions and plot them in s plane. Problem 1: Determine the following for a plant with the transfer function below when a unit step input is...