Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Textbook Question
Chapter 2, Problem 10P
Write the differential equation for the system shown in Figure P2.1. [Section: 2.3]
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38. Given the rotational system shown in Figure P2.24,
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[Section: 4.6]
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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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- Get the input-output model Get the Transfer Function Get representation in State Variablesarrow_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_forwardProblem 1: Write the transfer function of the systems. Problem 2: Write the differential equation and state space equation describing the following system. Please answer both the problems.arrow_forward
- Mechanics of machines QUESTION 4 Consider two degree of freedom of coupled pendulum with horizontal rod vibration system are shown in figure 4. MA KG. oooo MB BAW a Figure 4 k d L 4.1- Determine differential equations of motion in matrix form using The equation of equation with, and ß as generalized coordinates; 4.2- Develop state-space model.arrow_forwardequations: QB: Obtain the transfer function of system defined by the following state space Hi 0 4 8 [x₁ 0 8 5 X2 + -10-30-20x330/u [123] [x1 Y=[1 2 0] X₂ X3 snp-you tvavearrow_forwardThis question asks for matrix form and NOT state space, but I don't understand what the difference between the two are.arrow_forward
- Get representation in State Variablesarrow_forwarda) Determine the state space representation for the translational mechanical system shown in Figure Q4(a), where force, f(t) and displacement, x(t) are the input and output of the system respectively. Use these state variables in your answer. oooo K M -x(1) -ƒ(1)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_forward
- 3. In this problem, you are going to analyze the dynamics of a rotational mechanical system shown in Figure below (this is also covered in Lecture Notes #3 of M. Mert Ankarali [1]). In this system input the external torque t(t), and output is the angular velocity of the load wL(t). JR WR OR K JL OL WL T DL DR The state-space representation of this system is provided in the Lecture Notes #3 [1]. Find the transfer function of the dynamical system. Find another (minimal) state-space representation for the system.arrow_forwardA velocity of a vehicle is required to be controlled and maintained constant even if there are disturbances because of wind, or road surface variations. The forces that are applied on the vehicle are the engine force (u), damping/resistive force (b*v) that opposing the motion, and inertial force (m*a). A simplified model is shown in the free body diagram below. From the free body diagram, the ordinary differential equation of the vehicle is: m * dv(t)/ dt + bv(t) = u (t) Where: v (m/s) is the velocity of the vehicle, b [Ns/m] is the damping coefficient, m [kg] is the vehicle mass, u [N] is the engine force. Question: Assume that the vehicle initially starts from zero velocity and zero acceleration. Then, (Note that the velocity (v) is the output and the force (w) is the input to the system): A. Use Laplace transform of the differential equation to determine the transfer function of the system.arrow_forwardA velocity of a vehicle is required to be controlled and maintained constant even if there are disturbances because of wind, or road surface variations. The forces that are applied on the vehicle are the engine force (u), damping/resistive force (b*v) that opposing the motion, and inertial force (m*a). A simplified model is shown in the free body diagram below. From the free body diagram, the ordinary differential equation of the vehicle is: m * dv(t)/ dt + bv(t) = u (t) Where: v (m/s) is the velocity of the vehicle, b [Ns/m] is the damping coefficient, m [kg] is the vehicle mass, u [N] is the engine force. Question: Assume that the vehicle initially starts from zero velocity and zero acceleration. Then, (Note that the velocity (v) is the output and the force (w) is the input to the system): 1. What is the order of this system?arrow_forward
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