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3. (10 points) Given the following the input function f(t). transfer function, find the steady-state response...
3. For the transfer function give by, Y (s) U(s) Find the steady-state value of y(t) for a unit step input in U. Use the final values theorem
Problem 4: (30) From the given Bode magnitude diagram, (a) Construct the transfer function G(s). 1), find the steady-state response y (b) If input utos(0.l ) The slope of 20logolG jo) at ω < 0.-the slope of 2010giolG jo) at 0.1 < ω < I The slope of 201°golG jo) at ω > 4000-the slope of 2010giolGUo) at 400 < ω < 4000 20log1G(jo) -40 60 80 10 10' 4 10 40 10 400 10 4000 10 w(rad/sec) Problem 4:...
For the transfer function G(s): 50 G (s) = s2 +55+25 a) Find the steady-state response to a unit step input. b) Find the steady state error. c) Sketch the time response.
A system has a transfer function s+3 H(s) = Find the steady-state output response for each of the given inputs. Work this one out by hand and show your w (a) x(t) = 2cos(0.1t)u(t) (b) x(t) = 15cos(10t-25。)u(t) ork
Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response y(t) subject to ut) 3cos(0.5t -0.5). (Hint: use the frequency response formula.) (996) (Easy) Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response y(t) subject to ut) 3cos(0.5t -0.5). (Hint: use the frequency response formula.) (996) (Easy)
1. Find the magnitude and phase of the following complexumbers: 2. A system with the transfer fimction is subject to a simsodal input w(1)-10sin(1.51). Find the response () at steady state. dal impul with amplitude 3. A system with transfer functie _ S e tto 100 of one that is, f(t) sinar. Find the amplitude of the response w (a) the input frequency is very small (b) the input frequency co is very large at steady state when is subject...
3) Given x1 = x2 with kER, find the forced output response y(t) and steady state output response yss(t) to an input u(t) = 1 + sint and find values of k E R such that ly(t) - a 0.05 for allt 10-2sec. yss
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)...
Name PROBLEM 2: (18%) Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response yo) subject to u(t) frequency response formula.) (9%) (Easy) 3cos (0.5t-0.5). (Hint: use the Name PROBLEM 2: (18%) Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response yo) subject to u(t) frequency response formula.) (9%)...
The transfer function of the given physical system is 2500 Gp(s)-T-1000 Part 3 1. Frequency response (a) Draw the bode plot of open-loop transfer function when K (b) Use bode plot of open-loop transfer function to determine the type of system (do not use transfer function) (c) For what input the system will have constant steady-state error (d) for the unit input in item (c) calculate the constant steady-state error.(Use bode plot to calculate the error.) (e) Design a lead...