Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Chapter 3, Problem 12RQ
What is a convenient choice of state variables for electrical networks?
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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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- Find 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_forwardFind a state space representation for the network shown below when the output is the displacement at M3.arrow_forward
- hey can i get help with these two questions please. thank you.arrow_forwardPlease solve this question for me with detailed steps. Circle the answer at the end. Thanks!arrow_forwardHow can a transfer function be derived from a system model, and what information does it provide about the system's behavior?arrow_forward
- B₁ 1*1* X1 A x2 (a) Identify state variables. (b) Find the state equations. K www M XXXX fa(t) B₂ For the system shown in the figure above, differential model equations are given below. B₁x₁ + Kx₁Kx₂ = 0 MX₂ + B₂x₂ + Kx₂ - Kx₁ = fa(t)arrow_forward1. 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_forwardRotational Mechanical System: Find the transfer function for each rotational mechanicalnetwork shown below.arrow_forward
- B2arrow_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_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
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