Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Chapter 3, Problem 4P
Represent the system shown in Figure P3.4 in state space where the output is x3(t). [Section: 3.41]
![Chapter 3, Problem 4P, Represent the system shown in Figure P3.4 in state space where the output is x3(t). [Section: 3.41]](https://content.bartleby.com/tbms-images/9781118170519/Chapter-3/images/html_70519-3-4p_image001.jpg)
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4. Determine which of the following flow fields represent a possible
incompressible flow?
(a) u= x²+2y+z; v=x-2y+z;w= -2xy + y² + 2z
a
(b) V=U cose
U coso 1 (9)
[1-9]
Usino |1 (4)]
[+]
V=-Usin 1+1
3. Determine the flow rate through the pipe line show in the figure in ft³/s,
and determine the pressures at A and C, in psi.
5'
B
C
12°
20'
D
6"d
2nd-
Water
A
5. A flow is field given by V = x²₁³+xy, and determine
3
·y³j-
(a) Whether this is a one, two- or three-dimensional flow
(b) Whether it is a possible incompressible flow
(c) Determine the acceleration of a fluid particle at the location (X,Y,Z)=(1,2,3)
(d) Whether the flow is rotational or irrotational flow?
Chapter 3 Solutions
Control Systems Engineering
Ch. 3 - Prob. 1RQCh. 3 - State an advantage of the transfer function...Ch. 3 - Define state variables.Ch. 3 - Define state.Ch. 3 - Define state vector.Ch. 3 - Define state space.Ch. 3 - What is required to represent a system in state...Ch. 3 - 8. An eighth-order system would be represented in...Ch. 3 - If the state equations are a system of first-order...Ch. 3 - Prob. 10RQ
Ch. 3 - What factors influence the choice of state...Ch. 3 - What is a convenient choice of state variables for...Ch. 3 - If an electrical network has three energy-storage...Ch. 3 - Prob. 14RQCh. 3 - Prob. 1PCh. 3 - Represent the electrical network shown in Figure...Ch. 3 - Prob. 3PCh. 3 - Represent the system shown in Figure P3.4 in state...Ch. 3 - Represent the rotational mechanical system shown...Ch. 3 - Represent the system shown in Figure P3.7 in state...Ch. 3 - 8. Show that the system of Figure 3.7 in the text...Ch. 3 - Find the state-space representation in...Ch. 3 - MATLAB ML 10. Repeat Problem 9 using MATLAB....Ch. 3 - For each system shown in Figure P3.9, write the...Ch. 3 - MATLAB ML
12. Repeat Problem 11 using MATLAB....Ch. 3 - 13. Represent the following transfer function in...Ch. 3 - Find the transfer function G(s) = Y(s)/R(s) for...Ch. 3 - MATLAB ML
15. Use MATLAB to find the transfer...Ch. 3 - 17. A missile in flight, as shown in Figure P3.10,...Ch. 3 - Given the dc servomotor and load shown in Figure...Ch. 3 - Prob. 20PCh. 3 - Prob. 23PCh. 3 - Experiments to identify precision grip dynamics...Ch. 3 - State-space representations are, in general, not...Ch. 3 - Figure P3.16 shows a schematic description of the...Ch. 3 - Prob. 28PCh. 3 - A single-pole oil cylinder valve contains a spool...Ch. 3 - Figure P3.17 shows a free-body diagram of an...Ch. 3 - 33. Parabolic trough collector. A transfer...
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