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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Represent the translational mechanical system shown
in Figure P3.5 in state space, where x1(t) is the output.
[Section: 3.4]
x2(1)
x3(1)
M3 = 1 kg
fv, = 1 N-s/m
fv,= 1 N-s/m
K1 = 1 N/m
000 M: = 2 kg
+ x1(1)
f() --
K2 = 1 N/m
M1 = 1 kg
fv,= 1 N-s/m
FIGURE P3.5
Explain the state space function
For the following state-space representation,define the:– State Vector– System Matrix– Feedforward Matrix– Input Matrix & Input Vector– Output Matrix & Output Vector
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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- This question asks for matrix form and NOT state space, but I don't understand what the difference between the two are.arrow_forwardequations: QB: Obtain the transfer function of system defined by the following state space Hi 0 4 8 [x₁ 0 8 5 X2 + -10-30-20x330/u [123] [x1 Y=[1 2 0] X₂ X3 snp-you tvavearrow_forward4- Represent the system shown in Figure P4 in state space where the output is OL(t). T(t) N₁ = 30 2 N-m/rad 3 N-m-s/rad oooo N-m/rad N3 = 10 farm FIGURE P4 10 N₂= 300 I▬▬▬▬▬▬▬▬ N4 = 100 200 N-m-s/radarrow_forward
- 38. Given the rotational system shown in Figure P2.24, find the transfer function, G(s) = 06(s)/01(s). [Section: 2.7]arrow_forwardConsider the following state space system 1 B = 1 C =[1 0] D=[0] -5 -6 1- Check the controllability of the system. 2- Check the observability of the systemarrow_forwardFind: State-space representation Note: Output of mechanical system is X3(t) Given: M1=1 kg, M2=1 kg, M3=1 kg K1=1 N/m, K2=1 N/m Fv1=1 N-s/m, Fv2=1 N-s/m, Fv3=1 N-s/m, Fv4=1 N-s/marrow_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_forwardRepresent the translational mechanical system shown in state space, where x3(t) is the output.arrow_forward32. For the rotational mechanical system with gears shown in Figure P2.18, find the transfer function, G(s) = 03(s)/T(s). The gears have inertia and bear- ing friction as shown. [Section: 2.7] T(t) to |N1 小D N2 N3 2, D2 Jz, D3 03(1) N4 J4. D4 J5. D5 FIGURE P2.18 sairarrow_forward
- Q2 In the rotating system shown in Figure Q2. The torque T applied to the rotor and generate the output angular velocity, w. (a) Determine equations of motion system interm of angular displacement, 0. (b) By referring Q2(a), determine the state-space model of the system. Rotor T Figure Q2arrow_forwardFind a state space representation of the network shown below when the output is the displacement on m Let my = 2 kg, m₁ = 4kg, F = 10 N, b₁ = 1 Ns/m, b2 = 2 Ns/m, k₁ = 2 N/m, and k2 = 4 N/m, Force of material placed in truck bed M Truck vehicle mass Shock absorber www www A Tirearrow_forward1. Reduce the following differential equation to the state space equation form. a. y" (t) + 3y' (t) + 2y (t) = u(t) b. y" (t) = u(t) — b₁y' (t) — boy (t) c. 4y" (t) cos (t) y' (t) + sin (t) y (t) = u(t)arrow_forward
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