RMIT Classification: Trusted MIET 2006 Automatic Control Semester 2050 Online Test 2 October 27th 2020 Please submit your answer by uploading file to: Canvas-Assignments-Online Test 2 There are five...

Hi I need help with all the questions ASAP and answered quick


RMIT Classification: Trusted MIET 2006 Automatic Control Semester 2050 Online Test 2 October 27th 2020 Please submit your answer by uploading file to: Canvas-Assignments-Online Test 2 There are five questions (4 marks each) in total, please attempt each question and submit all your answers in one file and in the same order as provided. **Please DO NOT use Matlab for any of the questions in this test. RMIT Classification: Trusted Q1. An electrical system consists two resistors and two capacitors are shown as follow, consider voltage different ?? is the input and voltage different ?? is the output. a) List all system equations that describe the physical relationship among components and the Laplace transform of the system equations b) Build the block diagram based on system equations that can describe the relationship between input and output. Figure 1 Q2. A rotational mechanical system with gears is provided as follow, external torque T(t) is the input and rotating angle of the lower shaft ?3(?) is the output. a. Please list all system equations and Laplace transform of the system equations; b. Use equation method to obtain the transfer function that relates input and output. Hint: torque generated by the upper gear is driven by spring and damper. Figure 2 RMIT Classification: Trusted Q3. For a system with block diagram shown in Figure 3 where ?1(?) = 500? 5? + 1 ?(?) = 1 (? + 8)(0.02? + 1) (a) Obtain the expression of close-loop transfer function and identify the gain constant of the system; (b) Manually sketch the asymptotic straightline approximation for Bode magnitude diagram of its open-loop transfer function on a semi-log graph paper (provided below) **please show the calculation of all corner frequencies and starting point. Figure 3 Semilog paper for Q3 RMIT Classification: Trusted Q4. A unit feedback system is shown in Figure 4 (a). a. Bode plot of the system OLTF is provided in Figure 4 (b) by assuming k=1. Find the value of gain k, to yield a closed-loop response with 22% overshoot when the system is under a step input. b. Use Nyquist Criterion to check the system stability at the k value calculated from part (a), and determine the range of k that can make the system response stable. Figure 4 (a) Figure 4 (b) RMIT Classification: Trusted Q5. For the system shown in Figure 5 (a) whose frequency response curves for G1 and G2 have been experimentally determined in Figure 5 (b), (a) Use system identification method to determine the open-loop transfer function G = G1G2; (b) Calculate the steady-state error of the system when the input is 4, 4t, and 4t2, respectively. Figure 5 (a) Figure 5 (b)