Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Textbook Question
Chapter 4, Problem 26P
For the system shown in Figure P4.8, a step torque is applied at
a. The transfer function,
b. The percent overshoot, settling time, and peak time for
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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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- The ratio of output to input of a system in Laplace domain is known as Transfer function . Select one: True Falsearrow_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, 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 nodarrow_forward1) (Derive equation of motion for a givensystem.) 2)(Obtain transfer function. Find the state space model of the system in the format given below.) (Format shared as pictures.)arrow_forward
- Assume F(t) is a step force input and displacement is x(t) obtain the transfer function for the system shown belowarrow_forwardRepresent the translational mechanical system shown in state space, where x3(t) is the output.arrow_forwardRotational Mechanical System: Find the transfer function for each rotational mechanicalnetwork shown belowarrow_forward
- Find the transfer function X(s)/G(s) of the block diagram below.arrow_forwardFor the system shown in the figure. the system parameters, the length of the rod, l is 2 m, mass of the rigid rod, m is 7, and the stiffness of the springs, k, is the last two digits of 57. Derive the equation of motion, b) Find the transfer function between force input (F) and angular displacement (θ) of the system c) Find the step response of the system, and show time-domain characteristics of the system d) Find the frequency response function, and draw frequency response graphs, and draw bode diagrams, show frequency-domain characteristics.arrow_forwardFor question in the following systems:1. Classify the transfer function to proper and improper.2. Plot the s-plane and find the system stability.arrow_forward
- A liquid storage system is shown below. The normal oper-ating conditions are q1=10 ft3∕min,q2=5ft3∕min,h=4ft.The tank is 6 ft in diameter, and the density of each stream is 60 lb/ft3. Suppose that a pulse change in q1 occurs as shown inFig.(a)What is the transfer function relating H′ to Q′1?(b)Derive an expression for h(t) for this input change.(c)What is the new steady-state value of liquid level h?(d)Repeat (b) and (c) for a change in q1 from 10 to 20 (at t=0) to 15 ft3/min at t=12arrow_forwardTranslational mechanical systems Get the input-output model Get the Transfer Function Get representation in State Variablesarrow_forwardGet the input-output model Get the Transfer Function Get representation in State Variablesarrow_forward
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