3. Determine which bode plot and unit step response belongs frequencies on the bode plot. to the given pole-zero map. Determine the corner Pole-Zere Map 1.5 1,4 05 o.5 1.5 1 -O.5 0.5 .2 Real A...
III.(6 pts.) A system is defined the following pole zero plot, where H(0)-10. a) Find the step response of the system.< Note: step response, not impulse response. b) (+3) Find the output, y(). when the input is x()-8(0)-e) H(O) 10 -1 -2 III.(6 pts.) A system is defined the following pole zero plot, where H(0)-10. a) Find the step response of the system.
P5.6-3 displays the pole-zero plot of a system that has re 5.6-5 Figure second-order real, causal LTID s Figure P5.6-5 (a) Determine the five constants k, bi, b2, aj, and a2 that specify the transfer function (b) Using the techniques of Sec. 5.6, accurately hand-sketch the system magnitude response lH[eill over the range (-π π) (c) A signal x(t) = cos(2πft) is sampled at a rate Fs 1 kHz and then input into the above LTID system to produce DT...
[21.(20) A system function is given by H:)= (1+) 1+0.5 (a) Determine all frequencies for which the response to rin cosn) is equal to zero. (between - and + (b) Determine the impulse response. [2).(20) An IIR filter is given by yn ln-1+rln]+rin- 1]+rln-2). The input is given by zin= (uln} (a) Find the transient response. (b) Find the steady-state response [21.(20) A system function is given by H:)= (1+) 1+0.5 (a) Determine all frequencies for which the response to...
Q3. There exists a signal f(t) whose Laplace Transform has the following poles Pole-Zero Map 093 087 0.78 064 0.8 0 97 0.6 0.40 99a 0.2 25 1.5 05 20.2 0.4 0.92 0.6 097 0.8 093 087 078 064 2.5 1.5 0.5 Real Axis (seconds) e2tf(t) and P(jo) converges. Decide whether f(t) is right sided/left Another function p(t) sided/ 2 sided. Justify your answer clearly. Hint: P(ja) refers to Fourier Transform of p(t) Q3. There exists a signal f(t) whose...
A plant with the transfer function Gp(s)-- with unity feedback has the root locus shown in the figure below: (s+2)(s+4) Root Locus 1.5 C(s) 0.5 0.5 1.5 .3 Real Axis (seconds) (a) Determine K of Gp(s) if it is desired that the uncompensated system has a 10% OS (overshoot) to a step input. (4 points) a 5% overshoot and a peak time Tp 3.1 meets the requirements described in part (b) and achieves zero steady state (b) Compute the desired...
Assume unit-step response of the closed-loop system with K = 2. Adding which of the following compensators improves the steady-state error without altering the transient response? Step Response 1 0.8 0.6 data 0.4 0.2 0 -0.2 0 0.5 1 1.5 2 2 Time (seconds) Gc(s) = s+0.3 8+3 O Gc(s) = s+0.03 s+0.3 O Ge(s) 8+3 s+0.3 O Gc(s) = S s+0.3
A linear time invariant system has an impulse response given by h[n] = 2(-0.5)" u[n] – 3(0.5)2º u[n] where u[n] is the unit step function. a) Find the z-domain transfer function H(2). b) Draw pole-zero plot of the system and indicate the region of convergence. c) is the system stable? Explain. d) is the system causal? Explain. e) Find the unit step response s[n] of the system, that is, the response to the unit step input. f) Provide a linear...
1: The plot shown below represents the step response of a second-order LTI system (with input (t) and output y(t)) with zero initial conditions. From the step response: (a) Estimate the peak time tp, and the maximum percentage overshoot %Mp. (b) Estimate the natural frequency wn and the damping ratio c. (c) Derive a differential equation corresponding to this system using the results of parts (a) and (b). Step Response X: 085 Y: 1.261 Amplitude 0 0.5 1 1.5 2...
Please solve these using matlab Problem 1 Given the transfer functions e S +5 (a) C(s) 20 S + 20 (b) Use the step function to determine the time constant and rise time for each system. Note: estimate these values from the plot and do not use the stepinfo function. Problem 2 Given the transfer function 100 G(S) = 22 +45 + 25 a. Use the plot resulting from the step function in MATLAB to determine the percent overshoot, settling...
(a) Given the following periodic signal a(t) a(t) -0.5 -0.25 0 0.25 0.5 0.75 1 1.25 1.5 i. [2%) Determine the fundamental period T ii. [5%] Derive the Fourier series coefficients of x(t). iii. [396] Calculate the total average power of z(t). iv. [5%] If z(t) is passed through a low-pass filter and the power loss of the output signal should be optimized to be less than 5%, what should be the requirement of cutoff frequency of the low-pass filter?...