3. For the transfer function give by, Y (s) U(s) Find the steady-state value of y(t)...
g / 4.18/A process has the transfer function Y(s) U(s) G(s) = 2s + 1 (a) For a step change in the input U(s) 2/s, sketch the response y(t) (you do not need to solve the differential equation). Show as much detail as possible, including the steady-state value of y(t), and whether there is oscillation. (b) What is the decay ratio? 425 Can a tank with the outflow rate fixed by a constant speedl pump reach a steady state if...
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
3. (10 points) Given the following the input function f(t). transfer function, find the steady-state response ?..(t) to function, ng Y (s) f(t) = 6 sin(9t)
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.
Q1. A closed-loop transfer function is G(s) Yo.108(s+3) els> ) Determine the steady-state error for a unit step imput R(s)-14s Error signal is E(s) - R(s)-Y(s). Assume that the complex of the final value. ii) poles dominate and determine the overshoot and settling time to within 2% Q1. A closed-loop transfer function is G(s) Yo.108(s+3) els> ) Determine the steady-state error for a unit step imput R(s)-14s Error signal is E(s) - R(s)-Y(s). Assume that the complex of the final...
B2. Find the steady-state errors for inputs of 5 u(t), 5t-u(t), and 5t-u(t) to the system shown in the following figure. The function u(t) is the unit step. R(S) + E(S) C($) 120(s + 2) (s + 3)(s +4)
Q.3(a) Transfer function model of a plant is, G(s) The controller is Ge(s)-K, where K is a constant. Find the value of K such that steady-state error for unit ramp input is 0.1. Find the gain margin and the phase mar gin (6 marks) (b) What are the effects on gain margin, phase margin and steady-state error, if the gain K is increased? (3 marks (c) Can the closed loop be unstable if the controller of Q.3(a) is implemented digi...
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
Consider the linear system given by the following differential equation y(4) + 3y(3) + 2y + 3y + 2y = ů – u where u = r(t) is the input and y is the output. Do not use MATLAB! a) Find the transfer function of the system (assume zero initial conditions)? b) Is this system stable? Show your work to justify your claim. Note: y(4) is the fourth derivative of y. Hint: Use the Routh-Hurwitz stability criterion! c) Write the...
0.1.For the following Laplace transform, F(s) a) Determine the steady state solution fs using the Final value theorem. b) Find the corresponding time function f(t) using partial fractions. a Use block diagram reduction to obtain the transfer function YIR of the following feedback system. Fuc R(s) Manifold Air b Ga(a) G1) Pressure Sparks pai FIQUREdle soed cortenal aetem 0.1.For the following Laplace transform, F(s) a) Determine the steady state solution fs using the Final value theorem. b) Find the corresponding...