Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Question
Chapter 4, Problem 54P
a.
To determine
Whether a dominant pole approximation can be applied to a given transfer function or not.
b.
To determine
The body sway caused by a
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% Initial Conditions
rev = 0:0.001:2;
g1 = deg2rad(1);
g2 = deg2rad(3);
g3 = deg2rad(6);
g4 = deg2rad(30);
g0 = deg2rad(0);
Z0 = 0;
w0 = [0; Z0*cos(g0); -Z0*sin(g0)];
Z1 = 5;
w1 = [0; Z1*cos(g1); -Z1*sin(g1)];
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w2 = [0; Z2*cos(g2); -Z2*sin(g2)];
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% Extracting the initial condtions to a variable
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e = w_en(4:7);
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% Kinematic Differential Equations
dedt = zeros(4,1);
dedt(1) = pi*(e(3)*(s-w(2)-1) + e(2)*w(3) + e(4)*w(1));
dedt(2) = pi*(e(4)*(w(2)-1-s) + e(3)*w(1) - e(1)*w(3));
dedt(3) = pi*(-e(1)*(s-w(2)-1) - e(2)*w(1) + e(4)*w(3));…
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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