yce) Figure 1: Time-domain block diagram, with input u(t) and output y(t). For the block diagram...
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
The input x(t) and output y(t) of a causal LTI system are related through the block-diagram representation shown in Figure P 9.35. Determine a differential equation relating y(t) and x(t). is this system stable?
3. (25 points) For the block diagram shown in Figure 1, develop the transfer function between Y(s) and U(s) Figure 1. Block diagram for Problem 3. 4. (20 points) Consider each of the input profile in Figure 1. Develop an expression for U(s) for each case. Time Time Figure 1. Input profiles
8. The input r(t) and output y(t) of a transfer function block are sin(wt) and A sin(at +) respectively and ti are shown in the following figure. Determine the most suitable values for A and . a. A = 1.67 and $ = 45° b. A = 1.67 and $ = -45° C. A = 0.6 and $ = 45° d. A = 0.6 and 6 = -45° 9. Routh criterion is applied to check the stability of polynomials +s...
there are two questions 2 and 3 Question 2) Block diagram representation of a multi-loop feedback system is given below. -H2(5) T(s) For the corresponding block diagram, determine; a. Transfer function Gyr (s) between the input T(s) and the output Y (5) b. Transfer function Gyx (s) between the input R(s) and the output Y(s) Do not use block diagram algebra. Question 3) Consider the mechanical system shown in figure T(t) is the torque applied to shaft 1 and 8(t)...
The Bode diagram below relates the input u(t) to the output y(t): Bode Diagram 20 2 -40 -60 o-45 2 -90 O-135 -180 10 10 10 Frequency (rad/s) Find the steady state response of the system y$s (t), results from the sinusoidal input as: u(t) -2 sin(3t) Find the steady state response of the system yss (t), results from the sinusoidal input as: u(t) - 5 sin(10t) a) b) c) Find the input u(t) that results into a sinusoidal steady...
A system is known to have the following input and output relationship. (y output, f input) s2 +3s +2 Create a Simulink model based on this system (Do not Use Transfer function block. Use Integrator (1/s) Gain block, and adder (or subtractor) for Transfer function.) The input f(t) is te05t. Plot two graphs - a) input vs. output and b) time vs. output (Use XY graph and scope) A system is known to have the following input and output relationship....
c(s), A system has a block diagram as shown. The input is R(s) and the output is C(s). a) Using only the block diagram reduction method", find the transfer function of the system. b) Determine the characteristic function and the order of the system. c) Find the characteristic roots of the system. d) Find the natural frequency of the system. e) Find the damped natural frequency of the system. 8 * NOTE: All stages of block diagram reduction must be...
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...
QI. The block diagram representing a mechanical system is shown in Figure 1(a). The desired set point to controllers is r(t) = 50. The system vibrates as shown in Figure 1(b). (1) Find the transfer function of C(s) /R(s) by reducing the block diagram (in) Determine the value of a and b (ii) Find the steady state error of the system Figure 1(a) Time (seconds) Figure 1(b) ANSWER Transfer function, 0.12b +0.12 0.12as +012bs + 0.125 + 1 () Mp....