Aparna Shakti

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3. A multi-loop block diagram is shown on the figure. The state variables are denoted by $x_1(t)$ and $x_2(t)$. 3 a. Determine a state variable representation of the closed-loop system where the output is denoted by $y(t)$ and the input is $r(t)$. Page 1 b. Determine the characteristic equation. Page 1 c. Simplify the system and redraw it in its canonical form. Page 2 d. Calculate the transfer function for the system. Page 1 e. Calculate the steady-state error for the system for a unit-step input. Page 3 R(s) $X_1(s)$ $\frac{1}{s}$ 0.5 $X_2$ $X_2(s)$ $\frac{1}{s}$ Fig. 1: A multi-loop feedback control system Y(s)

          3. A multi-loop block diagram is shown on the figure. The state variables are denoted by $x_1(t)$ and $x_2(t)$.
3
a. Determine a state variable representation of the closed-loop system where the output is denoted by $y(t)$ and the input is $r(t)$.
Page 1
b. Determine the characteristic equation. Page 1
c. Simplify the system and redraw it in its canonical form. Page 2
d. Calculate the transfer function for the system. Page 1
e. Calculate the steady-state error for the system for a unit-step input. Page 3
R(s)
$X_1(s)$
$\frac{1}{s}$
0.5
$X_2$
$X_2(s)$
$\frac{1}{s}$
Fig. 1: A multi-loop feedback control system
Y(s)

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3. A multi-loop block diagram is shown on the figure. The state variables are denoted by x1(t) and x2(t).
3
a. Determine a state variable representation of the closed-loop system where the output is denoted by y(t) and the input is r(t).
Page 1
b. Determine the characteristic equation. Page 1
c. Simplify the system and redraw it in its canonical form. Page 2
d. Calculate the transfer function for the system. Page 1
e. Calculate the steady-state error for the system for a unit-step input. Page 3
R(s)
X1(s)
(1)/(s)
0.5
X2
X2(s)
(1)/(s)
Fig. 1: A multi-loop feedback control system
Y(s)

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University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Aparna Shakti

Step 1

To determine a state variable representation of the closed-loop system, we need to identify the state variables, inputs, and outputs. From the given information, the state variables are denoted by x_t and x_0. The input is r(t), and the output is y. b. To Show more…

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This is the third time I am uploading this question because I am really having trouble. Please show the state variable representation in matrix form. Please show how to simplify the system and redraw it in canonical form. Please have a different expert than the one that answered my previous uploads respond. A multi-loop block diagram is shown in the figure. The state variables are denoted by x_t and x_0. a. Determine a state variable representation of the closed-loop system where the output is denoted by y and the input is r(t). b. Determine the characteristic equation. c. Simplify the system and redraw it in its canonical form. d. Calculate the transfer function for the system. Fig. 1: A multi-loop feedback control system

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