Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Textbook Question
Chapter 2, Problem 20P
Repeat Problem 19 using nodal equations. [Section: 2.4]
19. Find the transfer function, G(s) = Vo(s)/ Vi(s), for each network shown in Figure P2.5. Solve the problem using mesh analysis. [Section: 2.4]
![Chapter 2, Problem 20P, Repeat Problem 19 using nodal equations. [Section: 2.4] 19. Find the transfer function, G(s) =](https://content.bartleby.com/tbms-images/9781118170519/Chapter-2/images/html_70519-2-20p_image001.jpg)
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Quiz E
Reduce the Block Diagram
shown in Figure to a
single transfer function,
T(s) = C(s)/R(s)
G3(s)
R(s)
C(s)
G1ts)
G2ts)
G4(s)
H(s)
Reduce the block diagram to a single transfer function.
Chapter 2 Solutions
Control Systems Engineering
Ch. 2 - Prob. 1RQCh. 2 - Prob. 2RQCh. 2 - Prob. 3RQCh. 2 - Define the transfer function.Ch. 2 - Prob. 5RQCh. 2 - What do we call the mechanical equations written...Ch. 2 - If we understand the form the mechanical equations...Ch. 2 - Why do transfer functions for mechanical networks...Ch. 2 - What function do gears perform?Ch. 2 - What are the component parts of the mechanical...
Ch. 2 - The motor’s transfer function relates armature...Ch. 2 - Summarize the steps taken to linearize a nonlinear...Ch. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - Prob. 4PCh. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - A system is described by the following...Ch. 2 - For each of the following transfer functions,...Ch. 2 - Write the differential equation for the system...Ch. 2 - Write the differential equation that is...Ch. 2 - Prob. 12PCh. 2 - Use MATLAB to generate the MATLAB ML transfer...Ch. 2 - Repeat Problem 13 for the MATLAB following...Ch. 2 - Use MATLAB to generate the partial fraction...Ch. 2 - Use MATLAB and the Symbolic Math Symbolic Math...Ch. 2 - Prob. 17PCh. 2 - Prob. 18PCh. 2 - Prob. 19PCh. 2 - Repeat Problem 19 using nodal equations. [Section:...Ch. 2 - Prob. 22PCh. 2 - Prob. 23PCh. 2 - Prob. 24PCh. 2 - Prob. 25PCh. 2 - Prob. 26PCh. 2 - Prob. 27PCh. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - Write, but do not solve, the equations of motion...Ch. 2 - For the unexcited (no external force applied)...Ch. 2 - For each of the rotational mechanical systems...Ch. 2 - For the rotational mechanical system shown in...Ch. 2 - Find the transfer function, 1sTs , for the system...Ch. 2 - For the rotational mechanical system with gears...Ch. 2 - For the rotational system shown in Figure P2.21,...Ch. 2 - Prob. 37PCh. 2 - Find the transfer function, Gs=4s/Ts , for the...Ch. 2 - For the rotational system shown in Figure P2.24,...Ch. 2 - Prob. 40PCh. 2 - Given the rotational system shown in Figure P226,...Ch. 2 - In the system shown in Figure P2.27, the inertia,...Ch. 2 - Prob. 43PCh. 2 - Given the combined translational and rotational...Ch. 2 - Prob. 45PCh. 2 - The motor whose torque-speed characteristics are...Ch. 2 - A dc motor develops 55 N-m of torque at a speed of...Ch. 2 - 48. In this chapter, we derived the transfer...Ch. 2 - Prob. 49PCh. 2 - Find the series and parallel analogs for the...Ch. 2 - Find the series and parallel analogs for the...Ch. 2 - A system’s output, c, is related to the system’s...Ch. 2 - Prob. 53PCh. 2 - Consider the differential equation...Ch. 2 - 55. Many systems are piecewise linear. That is,...Ch. 2 - For the translational mechanical system with a...Ch. 2 - 57. Enzymes are large proteins that biological...Ch. 2 - Prob. 58PCh. 2 - Figure P2.36 shows a crane hoisting a load....Ch. 2 - 60. In 1978, Malthus developed a model for human...Ch. 2 - 61. In order to design an underwater vehicle that...Ch. 2 - 62. The Gompertz growth model is commonly used to...Ch. 2 - A muscle hanging from a beam is shown in Figure...Ch. 2 - A three-phase ac/dc converter supplies dc to a...Ch. 2 - Prob. 65P
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- 3. You are working at a medical device company, and are helping to design a new needle system that pricks the skin of a patient so that a drop of blood becomes available for a glucose test. The needle tip position a can be modeled as a system with the transfer function: Position x, mm Here, f(t) is an input force. It is constrained to be a step function with amplitude 1 (e.g. f(t) = u(t). Given all the current design parameters, the response that the team is getting is shown below: 1.4 1.2 1 0.8 0.6 0.4 0.2 0 H(s) = X(s)/F(s) = 0 Kw2/20 s² + 25wns + w²/12 0.02 0.04 Step Response 0.06 0.08 Time (seconds) 0.1 0.12 0.14 Unfortunately, the problem is that the needle needs to reach a maximum position of 1.5 mm, but then after the over- shoot, retract to a position of 0.5 mm. The peak time should be exactly 0.2 seconds. Given that you can control the damping ratio , the natural frequency wn, and the gain K, write in a few sentences a proposed strategy for modifying the design to meet the…arrow_forward4G I. 3:22 A moodle1.du.edu.om Consider the 3 degree of freedom robot manipulator as shown in the figure Link 3 Länk 2 Trint 1 The objective is to find the kinematics inverse of the robot Px=0.9 m, Py=0.6, L1=1.5m, L2=1.5m and qz= 2 rad The value of cos(q2) is equal to Choose... + The positive value of sin(q2) is equal to Choose... + The value of q2 in rad is Choose... + The value of qı in rad is Choose... + The value of q3 in rad is Choose... +arrow_forwardFind the transfer function X(s)/G(s) of the block diagram below.arrow_forward
- For the mechanical translation system below, find the transfer function 0,/T and O2/T. Use the following values. K = 1+c D1 = 1 Jj = 4+a J2 = 3+b D2 = 5 where a = 3rd digit of your student number %3D = 7 = 5 b = 5th digit of your student number c = 7th digit of your student number For reference, the 1st digit of your student number is the leftmost number in your student number. Indicate your student number when solving problems. T(t) 0(t) 02(1), elel J2 D1 K D2 ON II ||||arrow_forwardReduce the block diagram shown in Figure below to a single transfer function, T(s) = C(s)/R(s) Use the block diagram reduction method.arrow_forwardI am trying to convert orbital elements to the state vector in MATLAB. My orbital elements are as follows a = 6731; ecc = 0.01; inc = 142.461; raan = 155.9325; argp = 321.0439; f = 145.8291; After transforming them I get : x = 3898.6; y = 3898.6; z = 3957; vx = 5.9771; vy = -4.5575; vz = -1.3245; I am wondering if the transformation is done correctly. Because x, y, and z are defined from earth's radius to the spacecraft, right? If that is the case then x, y, and z should have values greater than the earth's radius. Is my assumption correct?arrow_forward
- a) Suspension system of a car. Finding the transfer function F₁(s) = Y(s)/R(t) and F₂ (s) = Q(s)/R(t), consider the initial conditions equal to zero. car chassis www K₂ M₂ 1 Tire M₁ K₁ B₁ y(t)= output q(t) r(t)= input Where [r, q, y] are positions, [k1, k2] are spring constants. [B₁] coefficient of viscous friction, [M₁, M₂] masses. b) Find the answer in time q(t) of the previous system. With the following Ns values: M₁ = 1 kg, M₂ = 0 kg, k₁ = 4 N/m, k₂ = 0 N/m, B₁. = 1 Ns/m, considered m a unit step input, that is, U(s) = 1/sarrow_forward(system dynamics and control) q2 is given in image q3) ?arrow_forward32. For the rotational mechanical system with gears shown in Figure P2.18, find the transfer function, G(s) = 03(s)/T(s). The gears have inertia and bear- ing friction as shown. [Section: 2.7] T(t) to |N1 小D N2 N3 2, D2 Jz, D3 03(1) N4 J4. D4 J5. D5 FIGURE P2.18 sairarrow_forward
- b) Obtain the transfer function of the system. X(s)/Y(s) =? Show all intermediate operations in detail.arrow_forwardConsider the mechanical system shown below. The system is at rest for t < 0. The input force u is given at t = 0. The displacement x is the output of the system and is measured from the equilibrium position. Obtain the transfer function. You have to give the details of your work. a) Set up the governing equations for the system. b) Obtain the transfer function (s)/u(s) c) Use Force-Voltage analogy to get the electrical equivalent system equations. k3 m "1arrow_forwardSolve using Laplace. All I need is the steps to find the Laplace Transfer Function.arrow_forward
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