Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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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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- Please solve this question for me with detailed steps. Circle the answer at the end. Thanks!arrow_forwardConsider a physical system with a three-dimensional state space. An orthonormal basis of the state space is chosen. In this basis the Hamiltonian is represented by the matrix H = [2 1 0 1 2 0 0 0 3] What are the possible results when the energy of the system is measured? A particle is in the state| psi > which is represented in this basis as, with i = Squareroot (-1), 1/Squareroot 3 [i -i i] Find , , and Delta H.arrow_forwardFind Transfer Function of given network in Fig. P. 2.9.3. R3 V 2=0 R, Va ww V(s) R2 R4 Vo(s) Fig. P. 2.9.3arrow_forward
- How can a transfer function be derived from a system model, and what information does it provide about the system's behavior?arrow_forwardPlease solve the following question. Note that the second picture is the solution of the question from the book, I just want to know the steps to reach it.arrow_forwardSummarize five key steps involved in defining a system using state-space approach.arrow_forward
- 1. Consider the simplified model we discussed in class about a car on a bumpy road. The car has a mass m supported by stiffness k and damping c. The road gives a displacement excitation R(t) to the car. The transfer function from R(t) to the car displacement y(t) is Hy(s) - Y(s) R(s) cs + k ms² + cs+k (1) (a) Determine the driving point impedance ZR(s), which is the ratio of the velocity R(t) to the force acting on the wheel from the road. (b) Engineer X is testing the car in the Vehicle Dynamics Lab of a start-up company GF.com. Because of insufficient cash flow, Engineer X only has the equipment to mea- sure ZR(s), and identify the zeros and poles of ZR(s). But eigineer X wants to find the poles of Hy(s). To do so, should Engineer X use the zeros or poles of ZR(s) instead? Explain why? m y(t) R(t) Figure 1: A simple model of a car on a bumpy roadarrow_forwardFind a state space representation for the network shown below when the output is the displacement at M3.arrow_forwardB2arrow_forward
- Get representation in State Variablesarrow_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_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
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