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(c) Write the state equations Find the transfer functions Y,(s)/F(s) and Y₂(s)/F(s).

(c) Write the state equations Find the transfer functions Y,(s)/F(s) and Y₂(s)/F(s).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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use part (c) to answer the following question

 

4-4. Write the force equations of the linear translational systems shown in Fig. 4P-4. voo Figure 4P-4 B₂ (b) M₂ M V₂ JB₁ voo (1) M₁ K m 3₁ ¹B₁ f(1) M B₂ (c) Ar)
Transcribed Image Text:4-4. Write the force equations of the linear translational systems shown in Fig. 4P-4. voo Figure 4P-4 B₂ (b) M₂ M V₂ JB₁ voo (1) M₁ K m 3₁ ¹B₁ f(1) M B₂ (c) Ar)
226 Chapter 4. Theoretical Foundation and Background Material: Modeling of Dynamic Systems (a) Draw the system block diagrams or SFGs. (b) Define the state variables as follows: (i) x₁ = y₂, x₂ = dys/dt, xy = y₁, and x4 = dyr/dt (ii) x₁ = y2, X2= y₁, and x3 = dy₁/dt (iii) x 1, Xy=y2, and x3 = dy₂/dt (c) Write the state equations Find the transfer functions Y₁(s)/F(s) and Y₂(s)/F(s).
Transcribed Image Text:226 Chapter 4. Theoretical Foundation and Background Material: Modeling of Dynamic Systems (a) Draw the system block diagrams or SFGs. (b) Define the state variables as follows: (i) x₁ = y₂, x₂ = dys/dt, xy = y₁, and x4 = dyr/dt (ii) x₁ = y2, X2= y₁, and x3 = dy₁/dt (iii) x 1, Xy=y2, and x3 = dy₂/dt (c) Write the state equations Find the transfer functions Y₁(s)/F(s) and Y₂(s)/F(s).
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C) The mathematical modeling of the system is given as

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Now, we need to find the transfer function of the system.

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