Consider the system shown. Let m-1; m2-2, k-4,b-2,p 5sin (3t) X1(s) a) Find the transfer functions...
Problem 1. Consider the following transfer matrix s+1 T(S) = Let G=TO -6-s s+1 Find the eigenvalues and eigenvectors of G Problem 2. 1. Show that the following push-through rule is valid. K(I - G2K1) -1 = (1 - K;G2) -'K, 1. What is the transfer matrix G, from d and n 2. In the following system, let C(s) = -- and P to z? 3. A MIMO system is given by (x = u - 2x₂ + x2 x2...
Problem 8: Obtain the transfer functions, X/(s)/U(s) and X2(s)/U(s) of the mechanical system shown in the Figure. X1 k M mi ? boo Oo b2
w a. Obtain the transfer functions X1(s)/U(s) and X2(s)/U(s) of the mechanical system shown in the figure. b. Solve the transfer function to retrieve the information on the response function (as a function of time t) by assuming the m1 = m2 and ki = ki =k3 C. Plot the response function d. Show the impact of doubling the mass m2 = 2m1 on the response function - plot it to compare it with that described in case C
For the system shown in Fig. 1, solve the following problems. (a) Find the transfer function, G(s)X2 (s)/F(s) (b) Does the system oscillate with a unit step input (f (t))? Explain the reason (c) Decide if the system(x2 (t)) is stable with a unit step input (f (t))? Explain the reason 1. 320) 8 kg 2 N/m 4N-s/m 2N-s/m Fig. 1 2. There are two suspensions for a car as shown in Fig. 2 (a) Find the equations of each...
1. Consider the system shown. Assume B-3 N-s/m and K-7 N/m. Negligible Mass a) Find the transfer function, H(s)-X(s)Fa(s) b) Using the transfer function, find the unit step response and the unit impulse response. c) Using the transfer function, find the steady-state response when fa(t) 2 sin (4t) d) Find the free response (zero-input response) assuming x(0) 2 m.
The equations of motion for an undamped 2 DOF system are shown below. Find the transfer function X1/F2. You do not need to find the other three transfer functions. 5. 2 2+k3 )x2 = F2 dt-
The equations of motion for an undamped 2 DOF system are shown below. Find the transfer function X1/F2. You do not need to find the other three transfer functions. 5. 2 2+k3 )x2 = F2 dt-
The equations of motion for an undamped 2 DOF system are shown below. Find the transfer function X1/F2. You do not need to find the other three transfer functions. 5. 2 2+k3 )x2 = F2 dt-
The equations of motion for an undamped 2 DOF system are shown below. Find the transfer function X1/F2. You do not need to find the other three transfer functions. 5. 2 2+k3 )x2 = F2 dt-
2. Consider a unity feedback system, where (5+5 marks) P(s) = 5+1 K(s) = 548 Find values of a and B that assure (a) Zero steady-state error to a step command. (b) Steady-state error to a ramp command less than 0.01.
1. A unity feedback system with its forward transfer function G(s) - K(s+a)/s(s+B) is to be designed to meet the following requirements: (1) the steady-state error for a unit ramp input equals to 0.1 and (2) the closed-loop poles will be located at -1 + j1. Find K, a, and B in order to meet the specifications. (12 points) 2. Given a unity feedback system with its forward transfer function G(s) shown below: s" (s +a) Find the values of...
QUES 2!!!
Problem 1: For the feedback system shown below, compute the transfer functions e/d, x/r. What are the steady-state values for a constant d,r and when do they approach 0 asymptotically as t goes to infinity? C(s) 一心 - P(s) We were unable to transcribe this image
Problem 1: For the feedback system shown below, compute the transfer functions e/d, x/r. What are the steady-state values for a constant d,r and when do they approach 0 asymptotically as t...