1. Consider the system X2 X3 (a) Find the transfer function of the system. (b) Evaluate...
2. Consider a linear time-invariant system with transfer function H(s)Find the (s + α)(s + β) impulse response, h(t), of the system 2. Consider a linear time-invariant system with transfer function H(s)Find the (s + α)(s + β) impulse response, h(t), of the system
D Question 19 1 pts When is a system whose transfer function is an improper rational function BIBO stable: Sometimes Occasionally Always Never Question 20 1 pts Response of the system in the absence of an input excitation is called: Impulse response Zero input response Limited response Step response
4- Let the step response of a linear, time-invariant, causal system be (-1).uln] ylnl.ynl-ler uln].. 15 3 3 12 a) Find the transfer function H(Z) of this system b) Find the impulse response of the system. Is this system stable? c) Find the difference equation representation of this system. 4- Let the step response of a linear, time-invariant, causal system be (-1).uln] ylnl.ynl-ler uln].. 15 3 3 12 a) Find the transfer function H(Z) of this system b) Find the...
When is a system whose transfer function is an improper rational function BIBO stable: Occasionally Sometimes Always Never Question 20 Response of the system in the absence of an input excitation is called: Step response Limited response Impulse response Zero input response
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.
7. A causal LTI system has a transfer function given by H (z) = -1 (1 4 The input to the system is x[n] = (0.5)"u[n] + u[-n-1] ) Find the impulse response of the system b) Determine the difference equation that describes the system. c) Find the output y[n]. d) Is the system stable?
Problem # 3 [15 Points] Consider the following single-input, single-output system: (a) Characterize the controllable subspace and the unobservable subspace of the system (b) Determine the transfer function and the impulse response of the sys- tem. (c) Is the system asymptotically stable? Is it BIBO stable? Justify your Problem # 3 [15 Points] Consider the following single-input, single-output system: (a) Characterize the controllable subspace and the unobservable subspace of the system (b) Determine the transfer function and the impulse response...
2-If X1(z)Find the Z-Transform of X2[x]-X, ln +3]u[n] Find theZ-Transform of X211 ( I-hind the Inverse Z-transform of given function. a) R(Z) =- (1-e") (-(z-e-ar) 3 +282+8-1 b) F (Z) = (2-2)2(2+2) Find the Z-Transform of X2 [x] = X1 [n + 3] u [n] 3- Solve the difference equation 3 4 With initial conditions y-1] 1 and yl-2] 3 4- Let the step response of a linear, time-invariant, causal system be 72 3) ulnl 15 3 a) Find the...
4 + 3 + 2 = 9 marks) Consider a system with transfer function G(s) 6 - 10s $2 + 4s + 6 (a) Find an expression for the step response y(t), t > 0. (b) Does y(t) approach a limit as t+0? If so, evaluate this limit. (C) Will the step response exhibit undershoot? Justify your answer briefly.
6. For the following mechanical system: a) Find a mathematical model b) Find the transfer function, G(s) = c Find impulse, step and ramp response by using MATLAB functions d) Find harmonic response by using MATLAB SIMULINK T(s) 2 N-m-s/rad 2 N-m/rad N2-20 T0) l kg-m2 N3-40 010 N1-5 N4-10 0.02 N-m-s/radl 6. For the following mechanical system: a) Find a mathematical model b) Find the transfer function, G(s) = c Find impulse, step and ramp response by using MATLAB...