Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Textbook Question
Chapter 6, Problem 2P
Tell how many roots of the following polynomial are in the right half-plane, in the left half-plane. and on the
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Q1
Use Matlab to find the roots of the following polynomials:
(a)
P₁ = 2s5 — 4s² + 3s³ − 2s² + 3s + 5
(b)
P2
=S
s6 + 5s³ s² + 10
-
3. Use the second method of frame assignment, and find the Jacobian of the
following robot using the velocity propagation method (Ignore all theta related
offsets):
03
02 L2
01
Please answer the question precisely
and completely to use the second
method of frame assignment to find
the D-H table [alpha (i-1) , a (i-1) , d (i) ,
theta (i)], and find the jacobian matrix
using the velocity propagation method
The power series representation of the function centered at the origin
is shown below. Find c - b - a.
5-x
=
Σx¹ [a(br) - b(c)"]
2x² + x1
n=0
Chapter 6 Solutions
Control Systems Engineering
Ch. 6 - Prob. 1RQCh. 6 - Prob. 2RQCh. 6 - What would happen to a physical system chat...Ch. 6 - Why are marginally stable systems considered...Ch. 6 - Prob. 5RQCh. 6 - Prob. 6RQCh. 6 - Prob. 7RQCh. 6 - Prob. 8RQCh. 6 - Prob. 9RQCh. 6 - Why do we sometimes multiply a row of a Routh...
Ch. 6 - Prob. 11RQCh. 6 - Prob. 12RQCh. 6 - 13. Does the presence of an entire row of zeros...Ch. 6 - Prob. 14RQCh. 6 - Prob. 15RQCh. 6 - Prob. 16RQCh. 6 - Tell how many roots of the following polynomial...Ch. 6 - Tell how many roots of the following polynomial...Ch. 6 - Using the Routh table, tell how many poles of the...Ch. 6 - Prob. 4PCh. 6 - Determine how many closed-loop poles lie in the...Ch. 6 - Determine how many closed-loop poles lie in the...Ch. 6 - MATLAB ML 7. Use MATLAB to find the pole location...Ch. 6 - Symbolic Math SM 8. Use MATLAB and the Symbolic...Ch. 6 - Determine whether the unity feedback system of...Ch. 6 - Use MATLAB to find the pole locations for the...Ch. 6 - Consider the unity feedback system of Figure P6.3...Ch. 6 - In the system of Figure P6.3, let Gs=Ks+1ss2s+3...Ch. 6 - Given the unity feedback system of Figure P6.3...Ch. 6 - Using the Routh-Hurwitz criterion and the unity...Ch. 6 - Given the unity feedback system of Figure P6.3...Ch. 6 - Repeat Problem 15 using MATLAB.Ch. 6 - Prob. 17PCh. 6 - For the system of Figure P6.4, tell how many...Ch. 6 - Using the Routh-Hurwitz criterion, tell how many...Ch. 6 - Determine if the unity feedback system of Figure...Ch. 6 - For the unity feedback system of Figure P6.3 with...Ch. 6 - In the system of Figure P6.3, let Gs=Ksassb Find...Ch. 6 - For the unity feedback system of Figure P63 with...Ch. 6 - Find the range of K for stability for the unity...Ch. 6 - For the unity feedback system of Figure P6.3 with...Ch. 6 - find the range of K for stability. [Section: 6.41]...Ch. 6 - Find the range of gain, K, to ensure stability in...Ch. 6 - Using the Routh-Hurwitz criterion, find the value...Ch. 6 - Use the Routh-Hurwitz criterion to find the range...Ch. 6 - Prob. 32PCh. 6 - Given the unity feedback system of Figure P63 with...Ch. 6 - Repeat Problem 33 for [Section: 6.4]...Ch. 6 - For the system shown in Figure P6.8, find the...Ch. 6 - Given the unity feedback system of Figure P6.3...Ch. 6 - For the unity feedback system of Figure P6.3 with...Ch. 6 - For the unity feedback system of Figure P6.3 with...Ch. 6 - Given the unity feedback system of Figure P6.3...Ch. 6 - Using the Routh-Hurwitz criterion and the unity...Ch. 6 - Find the range of K to keep the system shown in...Ch. 6 - Prob. 43PCh. 6 - The closed-loop transfer function of a system is...Ch. 6 - Prob. 45PCh. 6 - Prob. 46PCh. 6 - An interval polynomial is of the form...Ch. 6 - A linearized model of a torque-controlled crane...Ch. 6 - The read/write head assembly arm of a computer...Ch. 6 - A system is represented in state space as...Ch. 6 - State Space SS 52. The following system in state...Ch. 6 - Prob. 54PCh. 6 - A model for an airplane’s pitch loop is shown in...Ch. 6 - Prob. 57PCh. 6 - Prob. 58PCh. 6 - Prob. 59PCh. 6 - Prob. 60PCh. 6 - Prob. 61PCh. 6 - Look-ahead information can be used to...Ch. 6 - Prob. 63PCh. 6 - It has been shown (Pounds, 2011) that an unloaded...Ch. 6 - Prob. 65PCh. 6 - The system shown in Figure P6.16 has G1s=1/ss+2s+4...Ch. 6 - Prob. 67PCh. 6 - Prob. 68PCh. 6 - Hybrid vehicle. Figure P6.l8 shows the HEV system...Ch. 6 - Prob. 70P
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- Express the following in complex exponential form: x[cos(yo)+jsin(yo)] Where x = 8 and y = 166. State the argument in radians.arrow_forwardTo create AutoCAD Q: Use the principle of the geometric model shown in the following figure? R8 16 22 50 015 50 425 40 80 20 rarrow_forwardThe figure shows a function generator linkage in which the motion of rocker 2 corresponds to x and the motion of rocker 4 to the function y=f(x). Use three precision points and chebychev spacing and synthesize the linkage to generate the following function. y = 4cos (-x) 0arrow_forward1. What value of x satisfies the matrix equation 2. Solve for x and y in the matrix equation below: [34 y [x-3 1 2 [2-3] 2 3. For matrices A=0 L7 4. The matrix product and B= [2 -3 -4 0 1 5 4 2 [10 3 x-8 2 6x 7' 0 3x-2 2 0 -20 1 0 4 P 1 34 7x+147 5 9] the matrix 3(4¹ +2B) is equal to? 4 3 -1 -3 3xarrow_forward9arrow_forwardA) Prove that the tool Jacobian matrix of the 3R Planar robot (shown in the figure) is given by the matrix below: -LS-LS-LS123 - L₁₂S12-L3 123-35123] V(a)=49+L2 + L3G23 1 L₂G12 + L3G123 1 B) Find the singular configuration of the robot. ჩვ. L3C123 1 02 L2arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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