a system is given by the following transfer function Y(s)/u(s) = 1/(s^2-16) a)find the output in...
a system is given by the following transfer function Y(s)/u(s) = 1/(s^2-16)
a)find the output in time domain Y(t) if the input u(t) is a unit step. (Hint the transfer function of the unit step function is 1/s)
b)what is Y(t) as t goes to infinity
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a system is given by the following transfer function Y(s)/u(s) =
1/(s^2-16)
a)find the output in...
2) For a system with the transfer function H(s) =- (st100) c) find the unit impulse...
2) For a system with the transfer function H(s) =- (st100) c) find the unit impulse response of the system. d) if the input of the system is 3e u(t), what is the output of the system in the frequency domain if all initial conditions are zero. e) if the input of the system is 3e" 100u(t), what is the output of the system in the time domain if all initial conditions are zero. f) what is the frequency of...
Problem 1: Given the transfer function from input u(t) to output y(t), Y (s) U(s) = s 2 − 4s + 3 (s 2 + 6s + 8)(s 2 + 25...
Problem 1: Given the transfer function from input u(t) to output y(t), Y (s) U(s) = s 2 − 4s + 3 (s 2 + 6s + 8)(s 2 + 25) (a) Develop a state space model for this transfer function, in the standard form x˙ = Ax + Bu y = Cx + Du (b) Suppose that zero input is applied, such that u = 0. Perform a modal analysis of the state response for this open-loop system. Your...
Problem#3 (16 points) Consider a system that has R(S) as the input and Y (S) as...
Problem#3 (16 points) Consider a system that has R(S) as the input and Y (S) as the output. The transfer function is given by: Y(S) R(S) 45+12 What are the poles of the system? For r(t) output in the time-domain y(t) For r(t) = t, t output in the time-domain y(t) 1- 2- 1,t 0, use partial fraction expansion and inverse Laplace transform to find the 3- 0, use partial fraction expansion and inverse Laplace transform to find the
Problem 1 Given the transfer function from input u(t) to output y(t), s2-4s +3 Y(s) U(s) (s2 + 6s + 8)(82 + 25) (a) Dev...
Problem 1 Given the transfer function from input u(t) to output y(t), s2-4s +3 Y(s) U(s) (s2 + 6s + 8)(82 + 25) (a) Develop a state space model for this transfer function, in the standard form y=Cx + Du (b) Suppose that zero input is applied, such that u 0. Perform a modal analysis of the state response for this open-loop system. Your analysis should include the nature of the time response for each mode, as well as how...
A system with input r(t) and output y(t) has transfer function G(s) = 10 (s +...
A system with input r(t) and output y(t) has transfer function G(s) = 10 (s + 1)(s + 2). Find y(t) for t ≥ 0 if the following inputs are applied (with zero initial conditions): (a) r(t) = u(t) (b) r(t) = e^ −t*u(t)
Question# 2 Given a continuous-time control system Y (s) R(s) (s 16 2)(s + 8) ntt pole-zero mappi...
Question# 2 Given a continuous-time control system Y (s) R(s) (s 16 2)(s + 8) ntt pole-zero mapping equivalent discrete-time system YeaR) ofth above system in the following form: Y(z) R(z) (z+ b)(z +c) b) Find a,b and c c Using transfer function in part (a).Find the response y(k) in terms of a,b and c due to a unit step input sequence with zro initial conditions
Question# 2 Given a continuous-time control system Y (s) R(s) (s 16 2)(s +...
Find the transfer function from the input u to the output y, for each of the...
Find the transfer function from the input u to the output y, for each of the following systems: (a) y + 3y + 5y = 8u (b) y= 3.1 + 2r, + 9.2 + 4.r = u 2ų – 12y - y = 7u – 3u dy dy = 3u - 1 d76-34 d3 + 2.sodu d44-u, d73 +84 dt Y(S) Hint: The Laplace operator is linear, and thus ; X(s) Y(s) U(s) U(s) X(5)
3. Work the following problems: a. The transfer function of a system is: Y(s)/R(s) = 15(s+1)/(s2+9s+14)....
3. Work the following problems: a. The transfer function of a system is: Y(s)/R(s) = 15(s+1)/(s2+9s+14). Determine y(t) when r(t) is a unit step input. b. Consider the following system: R(s)_ 0 G(s) i. Find the closed-loop transfer function Y(s)R(S) when G(s) = 10/(S2+2s+10) ii. Determine Y(s) when the input R(s) is a unit step. iii. Compute y(t).
yce) Figure 1: Time-domain block diagram, with input u(t) and output y(t). For the block diagram...
yce) Figure 1: Time-domain block diagram, with input u(t) and output y(t). For the block diagram shown in Figure find the system transfer function Y (s)/U(s).
UestionI. A system is represented by the following transfer function G(s)- (s+1)/(s2+5s+6) 1) Fin...
uestionI. A system is represented by the following transfer function G(s)- (s+1)/(s2+5s+6) 1) Find a state equation and state transition matrices (A,B, C and D) of the system for a step input 6u(t). ii) Find the state transition matrix eAt) ii) Find the output response of system y(t) to a step input 6u(t) using state transition matrix, iv) Obtain the output response y(t) of the system with two other methods for step input óu(t). Question IV. A system is described...
2) For a system with the transfer function H(s) =- (st100) c) find the unit impulse response of the system. d) if the input of the system is 3e u(t), what is the output of the system in the frequency domain if all initial conditions are zero. e) if the input of the system is 3e" 100u(t), what is the output of the system in the time domain if all initial conditions are zero. f) what is the frequency of...
Problem#3 (16 points) Consider a system that has R(S) as the input and Y (S) as the output. The transfer function is given by: Y(S) R(S) 45+12 What are the poles of the system? For r(t) output in the time-domain y(t) For r(t) = t, t output in the time-domain y(t) 1- 2- 1,t 0, use partial fraction expansion and inverse Laplace transform to find the 3- 0, use partial fraction expansion and inverse Laplace transform to find the
Problem 1 Given the transfer function from input u(t) to output y(t), s2-4s +3 Y(s) U(s) (s2 + 6s + 8)(82 + 25) (a) Develop a state space model for this transfer function, in the standard form y=Cx + Du (b) Suppose that zero input is applied, such that u 0. Perform a modal analysis of the state response for this open-loop system. Your analysis should include the nature of the time response for each mode, as well as how...
Question# 2 Given a continuous-time control system Y (s) R(s) (s 16 2)(s + 8) ntt pole-zero mapping equivalent discrete-time system YeaR) ofth above system in the following form: Y(z) R(z) (z+ b)(z +c) b) Find a,b and c c Using transfer function in part (a).Find the response y(k) in terms of a,b and c due to a unit step input sequence with zro initial conditions
Question# 2 Given a continuous-time control system Y (s) R(s) (s 16 2)(s +...
Find the transfer function from the input u to the output y, for each of the following systems: (a) y + 3y + 5y = 8u (b) y= 3.1 + 2r, + 9.2 + 4.r = u 2ų – 12y - y = 7u – 3u dy dy = 3u - 1 d76-34 d3 + 2.sodu d44-u, d73 +84 dt Y(S) Hint: The Laplace operator is linear, and thus ; X(s) Y(s) U(s) U(s) X(5)
3. Work the following problems: a. The transfer function of a system is: Y(s)/R(s) = 15(s+1)/(s2+9s+14). Determine y(t) when r(t) is a unit step input. b. Consider the following system: R(s)_ 0 G(s) i. Find the closed-loop transfer function Y(s)R(S) when G(s) = 10/(S2+2s+10) ii. Determine Y(s) when the input R(s) is a unit step. iii. Compute y(t).
yce) Figure 1: Time-domain block diagram, with input u(t) and output y(t). For the block diagram shown in Figure find the system transfer function Y (s)/U(s).
uestionI. A system is represented by the following transfer function G(s)- (s+1)/(s2+5s+6) 1) Find a state equation and state transition matrices (A,B, C and D) of the system for a step input 6u(t). ii) Find the state transition matrix eAt) ii) Find the output response of system y(t) to a step input 6u(t) using state transition matrix, iv) Obtain the output response y(t) of the system with two other methods for step input óu(t). Question IV. A system is described...
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