Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Textbook Question
Chapter 4, Problem 73P
Find an equation that relates 2% settling time to the value of fvfor the translational
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1. For the following mechanical translational system
a. Write two differential equations of
Order in
s domain
b. Change to time domain, and choose state variables
c. Write the state equations, and the state matrix equation
d. Write the output equation if x2 is the output
Hint: the state variables will be x1, V1, X2, V2
fv,
fit),
K3
M
K2
M2
0000
1. For the following mechanical translational system
a. Write two differential equations of
Order in
s domain
b. Change to time domain, and choose state variables
c. Write the state equations, and the state matrix equation
d. Write the output equation if x2 is the output
Hint: the state variables will be x1, V1, X2, V2
X(1)
fv,
At)
KI
oll
K3
M
K2
0000
0000
Can you code this in MATLAB? For the object with the semi-major axis 6782.5km, eccentricity 0.001, inclination 51.5, true anomaly 5 degrees, argument of perigee 20 degrees and RAAN 10 degrees, given as osculatingelements at the Sep 5 at noon, you may assume two-body motion. Calculate the state vector.
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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- A mechanical system with a rotating wheel of mass ?w (uniform mass distribution) is shown in Figure Q1. Springs and dampers are connected to wheel using a flexible cable without skip on wheel. (a) Determine all the mathematical modeling equations of the system for the translational and rotational motion. (b) Using the result in Q1(a), determine the translational motion equation in term of ? as a function of input motion ?. (c) By referring to standard second-order system form, determine the expressions for natural frequency and damping ratio of the system.arrow_forward26. 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_forwardPlease help me doing part B all I need help with is too make the derivation of equations of motion, and derivation of the state equations, and that will do for part B if you could help me with this it would make my life alot easier, and no matlab is not necessary for this.arrow_forward
- on of nd 25. For the system shown in Figure P4.7, do the following: [Section: 4.6] a. Find the transfer function G(s) = X(s)/F(s). b. Find , n, %OS, Ts, Tp, Tr, and Cfinal for a unit-step input. 20 N/m oooo 2 N-s/m 5 kg x(1) FIGURE P4.7 f(1)arrow_forwardFigure Q3 shows one cart with a mass that is separated from two walls by two springs and a dashpot, where kı, k2 and ka are the first, second spring and dashpot coefficients, respectively. The mass, m could represent an automobile system. An external force is also shown as F(t). Only horizontal motion and forces are considered. F(t) is input and x2(t) is output. (a) Derive all equations related to the system (b) Construct the block diagram from equation in (a) (c) Obtain the transfer function of the systemarrow_forwardPlease Help with this question. Show clear steps and highlight the answers.arrow_forward
- 2. For the system below, find the transfer function fromfi to x (driving point receptance) and from f. to ä, (driving point accelerance). What is the acceleration response of mass m, if m; = 2 kg, m; = 4 kg, k, = 40 N/m, k =100 N/m, and k; = 200 N/m, fi(t) = 20 cos(3t) N and f:(r) = 0? WW m, WW m Warrow_forwarddoes such a decomposition end up using more bandwidth. (This is an exa Consider the mechanical system shown in the figure below. Suppose the system input u is the velocity d₁, its output y is the velocity d2, and its states ar are the position d2 and velocity d2. Obtain a state-space model of the form i = Ar + Bu and y = Cr + Du describing the system. d₂ d₁ b m k₂arrow_forward38. Given the rotational system shown in Figure P2.24, find the transfer function, G(s) = 06(s)/01(s). [Section: 2.7]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_forwardQ5: Given the rotational system shown in below, find the transfer function G(s)= 01(s)/T(s) D K2 Please help ASAP. Pls show all steps and calculations. Make sure to find theta1(s)/T(s)arrow_forwardSolve the following without the use of AI. Show all steps. Thank You!arrow_forward
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