Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Textbook Question
Chapter 3, Problem 13RQ
If an electrical network has three energy-storage elements, is it possible to have a state-space representation with more than three state variables? Explain.
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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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- 1) Obtain a state space model of the system. 2) Given m =1 kg, k = 1 N/m and b = 1 N.s/m is the system Controllable? 3) For what values of k,m,b the system is stable? Explain your answer?arrow_forwardTransfer function on translational mechanical systemarrow_forward01(1) 18 N-m-s/rad T(t) 02(1) 1 N-m-s/rad kg-m? 3 kg-m2 3 N-m/rad 9 N-m/rad (a) Figure P2.16a OJohn Wiley & Sons, Inc. All rights reserved. The transfer function where the output Theta, is s? +5s +1 0,(s) а. Н(s)3D T(s) s' +30s +80s² +s+15 4 s' +5s +1 0,(s) b. H(s)= T(s) 25s* + 30s' +80s? + s +15 4 5s? +9s+9 0,(s) c. H(s)= T(s) 15s* +30s +95s² + s +27 5s +9s +9 0,(s) T(s) 15s +32s' +95s² +99s+27 d. H(s)= 4 Select one: O a.c O b. a O .b O d.d 立arrow_forward
- This question asks for matrix form and NOT state space, but I don't understand what the difference between the two are.arrow_forwardk₁ B₁ Fs(t) ww k2 12 m B2 Figure 4: A translational system 2. Consider a translational system shown in Fig. 4. Answer the following questions. (a) Draw a linear graph and write down all the elemental equations. (Don't draw the normal tree yet.) (b) From the elemental equation you write down, identify three variables that can potentially serve as state variables and explain why. (c) Are these potential state variables independent of each other? If not, use either conti- nuity or compatibility equation to prove it. How would you choose your state variables? (d) Draw a normal tree to see if there is any dependent energy storage element. What are the state variables according to your normal tree? Are they consistent with the explanation in the Part (c)?arrow_forwardRepresent the system shown in Figure P3.7 in state space where the output is 01 (t). T(1) N1 = 30 2 N-m/rad 3 N-m-s/rad TON-m/rad N2= 300 N3 = 10 N4 = 100 OL(t) -- TTTT 200 N-m-s/rad FIGURE P3.7arrow_forward
- 1. 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_forwardMechanics of machines QUESTION 4 Consider two degree of freedom of coupled pendulum with horizontal rod vibration system are shown in figure 4. MA KG. oooo MB BAW a Figure 4 k d L 4.1- Determine differential equations of motion in matrix form using The equation of equation with, and ß as generalized coordinates; 4.2- Develop state-space model.arrow_forwardGet representation in State Variablesarrow_forward
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