Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Chapter 4, Problem 69P
Figure P4.l6 shows the step response of an electric vehicle's
FIGURE P4.16 Step response of an electric vehicle's mechanical brake11
a. Find the transfer function of the system.
b. Use the values of the parameters for the transfer function obtained in Part a to find an expression for the brake pressure as a function of time.
c. Find the output in bars of the system 0.2 sec after the input is applied. Check your result against Figure P4.16.
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Assume F(t) is a step force input and the displacement is x(t) obtain the transfer function for the system shown below. Assume all initial conditions are zero. F(t) = 5 N, m = 0.2 kg, c = 0.3 N-s/m, k1 = 5 N/m and k2 = 4 N/m. 3. Find the global stiffness matrix, displacement at nod
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Chapter 4 Solutions
Control Systems Engineering
Ch. 4 - Prob. 1RQCh. 4 - What does the performance specification for a...Ch. 4 - Prob. 3RQCh. 4 - In a system with an input and an output, what...Ch. 4 - Prob. 5RQCh. 4 - Prob. 6RQCh. 4 - 7. What is the difference between the natural...Ch. 4 - Prob. 8RQCh. 4 - Prob. 9RQCh. 4 - Prob. 10RQ
Ch. 4 - List five specifications for a second-order...Ch. 4 - Prob. 12RQCh. 4 - What pole locations characterize (1) the...Ch. 4 - Prob. 14RQCh. 4 - How can you justify pole-zero cancellation?Ch. 4 - Prob. 16RQCh. 4 - 17. What is the relationship between , which...Ch. 4 - Name a major advantage of using time-domain...Ch. 4 - Prob. 19RQCh. 4 - What three pieces of information must be given in...Ch. 4 - 21. How can the poles of a system be found from...Ch. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - MATIAB ML 3. Plot the step responses for Problem 2...Ch. 4 - Find the capacitor voltage in the network shown in...Ch. 4 - For the system shown in Figure P4.3, (a) find an...Ch. 4 - Prob. 8PCh. 4 - MATLAB ML 9. Use MATLAB to find the poles of...Ch. 4 - Find the transfer function and poles of the system...Ch. 4 - MATLAB ML 11. Repeat Problem 10 using MATLAB....Ch. 4 - Write the general form of the capacitor voltage...Ch. 4 - Solve for x(t) in the system shown in Figure P4.5...Ch. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Calculate the exact response of each system of...Ch. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - For each of the second-order systems that follow,...Ch. 4 - MATLAB ML 21. Repeat Problem 20 using MATLAB. Have...Ch. 4 - GUI Tool GUIT
22. Use MATLAB’s LTI Viewer and...Ch. 4 - Prob. 23PCh. 4 - Find the transfer function of a second-order...Ch. 4 - For the system shown in Figure P4.7, do the...Ch. 4 - For the system shown in Figure P4.8, a step torque...Ch. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - State Space SS 38. A system is represented by the...Ch. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - State Space SS 41. Given the following system...Ch. 4 - State Space SS 42. Solve the following state...Ch. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 53PCh. 4 - Prob. 54PCh. 4 - A MOEMS (optical MEMS) is a MEMS (Micro...Ch. 4 - Prob. 56PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Prob. 63PCh. 4 - Prob. 67PCh. 4 - Figure P4.l6 shows the step response of an...Ch. 4 - Figure P4. I 7 shows the free-body diagrams for...Ch. 4 - Find an equation that relates 2% settling time to...Ch. 4 - Prob. 74PCh. 4 - Prob. 75PCh. 4 - 76. Find J and K in the rotational system shown in...Ch. 4 - Given the system shown in Figure P4.22, find the...Ch. 4 - Prob. 78PCh. 4 - Find M and K, shown in the system of Figure P4.24,...Ch. 4 - If vi(t) is a step voltage in the network shown in...Ch. 4 - Prob. 81PCh. 4 - Prob. 82PCh. 4 - For the circuit shown in Figure P4.26, find the...Ch. 4 - Prob. 84PCh. 4 - Prob. 86P
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- Typing solution please Thanks broarrow_forwardP4.7 A robot uses feedback to control the orientation of each joint axis. The load effect varies due to varying load objects and the extended position of the arm. The system will be deflected by the load carried in the gripper. Thus, the system may be represented by Figure P4.7 O, where the load torque is Ta (s) = D/s. Assume R(s) = 0 at the index position. (a) What is the effect of Ta(s) on Y(s)? (b) Determine the sensitivity of the closed loop to k2. (c) What is the steady-state error when R (s) = 1/s and Ta(s) = 0? Load disturbance T (s) R(s) Controller Y(s) Desired k2 Actual k1 joint angle joint angle s(TS + 1) kz + k4s Figure P4.7 Robot control system.arrow_forwardLAPLACE TRANSFORM .need only handwritten solution .otherwise downvote.arrow_forward
- P4.8 Determine the rotational speed of link 3 of the mechanism given in figure P4.8 for the position shown. Use a complex numbers approacharrow_forwardDerive transfer function for the following mechanical system: x(t) - Laplace transforms. f(t) M Spring K Damper B. Referencearrow_forwardCorrect and complete solution please don't copyarrow_forward
- 26. For the system shown in Figure P4.8, a step torque is applied at 01 (t). Find a. The transfer function, G(s) = 02(s)/T(s). b. The percent overshoot, settling time, and peak time for 02(t). [Section: 4.6] T(t) 01(1) 02(1) ff 1.07 kg-m2 1.53 N-m-s/rad 1.92 N-m/rad FIGURE P4.8arrow_forward3. Consider the system shown below. The outputs of the system are the angular displacement of the upper gear (positive about the x-axis) and the Contact force between the upper and lower gear. Assume that the initial conditions for all state variables are zero and that the gears are massless. There are two inputs Ti(t) acting on the top gear and T₂(t) acting on the rightmost disk. If you let • 9₁ denote the state variable for the spring 92 denote the state variable for the rightmost disk. u₁ denote T₁. u₂ denote T₂. You should expect to get the following state space representation and 9= KR + 0₁ 0 LIR -1. 7/2 Ti(t) Jun 0:0⁰ 40² T₂(t) 03 Figure 3: System for problem 3 21 (a) Derive the state-space model (state equation and output equation) in vector form. (b) For the system parameters I = 8 kg m², k = 1 N m,b=2 N s m/rad, R₁ = 1 m, and R₂ = 3 m: i. Use MATLAB to determine the transfer function matrix [G(s)]. ii. What is the ristic equation AS the system? iii. What are the values of the…arrow_forward1. Consider the simplified model we discussed in class about a car on a bumpy road; see Fig. 1. The car has a mass m supported by stiffness k and damping c. The road gives a displacement excitation R(t) to the car. The transfer function from R(t) to the car displacement y(t) is Hy(s) = = Y(s) R(s) = cs+k ms² + cs+k (1) Let the acceleration of the car be a(t) = ÿ(t). Determine the frequency response function Ga(w) from R(t) to a(t). Plot |Ga(w) as a function w. Hint: Analyze |Ga(w)| for w > wn. m y(t) Suspension k₁ y(t) Head m k Air Bearing x(t) k2 R(t) Disk Surface Figure 1: A simple model of a car on a bumpy road Figure 2: Suspension in computer hard disk drivesarrow_forward
- Find the transfer Function of this translational Mechanical system x2(t) X1(t) 1 N 1 N m f(t) X2(s) G(s) = F(s) m M2 M1 2kg 1 N-s 3 N 1kg 2 N.s 2 N.s 1 N.s m marrow_forwardAssume F(t) is a step force input and the displacement is x(t) obtain the transfer function for the system shown below. Assume all initial conditions are zero. F(t) = 5 N-s N, m = 0.2 kg, c = 0.3 N k1 = 5 and k2 = 4 S k2 Inarrow_forwardThe physical system shown below consists of a mass, viscous damping, and two parallel springs. Do the following: a) Neatly draw a proper free body diagram b) Find the differential equation of motion that describes the system. c) Find the transfer function X(s) / F(s). x(t) ki k2 m f(t) barrow_forward
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