S+2 =s%+1)-(s + 4) subjected to an 4- Given the transfer function G(s) input of 2...
1. (4 pts) Consider the system whose transfer function is YS) – H(S) = Tos +1 Tis +1 U(s) Obtain the steady-state output, y(t), of the system when it is subjected to the input u(t) = A sin wt.
Problem 3 (25) Consider the unity-feedback system with the open-loop transfer function: 10 G(s) = 1 Obtain the steady-state output of the system when it is subjected to each of the following inputs: a)r(t) sin(t30*) b) r(t) 2cos(2t - 45) c) r(t) sin(t+30") + 2cos(2t -45)
Problem 3 (25) Consider the unity-feedback system with the open-loop transfer function: 10 G(s) = 1 Obtain the steady-state output of the system when it is subjected to each of the following inputs: a)r(t)...
50 400 Problem 3: A system has the transfer function: G(s) -8s+24s +800 3+80 Assuming time for this system is expressed in seconds,if the system is subjected to a periodic input of 4 sin cot, determine: a) The frequency o where the amplitude of the output will be at its maximum. b) The functional expression for how the output amplitude varies with the input frequency, o. c) The functional expression for how the phase of the output with respect to...
Consider the mechanical system shown in Figure 4-55. The system is at rest for t<0. The input force "u" is given at t=0. The displacement "x" is the output of thesystem and is measured from the equilibrium position. Obtain the transfer function X(s)/U(s) for "u" as a force AND for "u" as a displacement for the end of the node.
Consider the following transfer function: [mark 25%] 4. Y(s) U(s) 5s1 2 G(s) (3) a. If U(s) b. If U (s) (1 - e-)/s, what is the output whent » co? If u(t) 6(t) that is, the unit impulse at t 0, what is the output when t > co? d. Ifu(t) sin(4t), what is y(t) when t co? 3/s, what is the value of the output when t 10? C.
Consider the following transfer function: [mark 25%] 4. Y(s)...
Problem 3: A system has the transfer function: Gfs) -8 +24s+800 35+6 Assuming time for this system is expressed in seconds, if the system is subjected to a periodic input of 4 sin ot, determine a) The frequency o where the amplitude of the output will be at its maximum b) The functional expression for how the output amplitude varies with-the input frequency, c) The functional expression for how the phase of the output with respect to the input varies...
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
answer 2
(s +2) (s+Ds+4) Obtain the magnitude and the Consider the transfer function G(s) phase of G(s) ats -2.25-j3 1. Graphically 2. Mathematically Computationally (Using MATLAB)
(s +2) (s+Ds+4) Obtain the magnitude and the Consider the transfer function G(s) phase of G(s) ats -2.25-j3 1. Graphically 2. Mathematically Computationally (Using MATLAB)
Suppose that the zero-state response to the step input for a plant with transfer function G0(s) is given by y0(t) for each t 0. Answer the following questions. Your answers are expected to be expressed in terms of y0. 1) What is the zero-state response to the same plant but for the input given by u(t) = t for each t 0 and u(t) = 0 for each t < 0? 2) Consider now the transfer function G(s) = s2G0(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)