In each step to follow, the signals h(t), a(t), and y(t) denote respectively the impulse response, input, and output of a continuous-time LTI system. Accordingly, H(w), X(w) and Y(w) denote their Fourier transforms. Hint: Carefully consider for each step whether to work in the time domain or frequency domain. (b) (25 points) On the axes below, provide a clearly labeled sketch of y(t) for all t given Σ H(w)-( ) sine? (w/8) j2Tt r(t)-e δ(t-n/2) and with sinc(t) = sin(t)/t...
Given a transfer function: Find the initial and final value response to a unit step function (all initial conditions being zero) S s2 s2
Unit Step Response .A plant has the response, c(), to a unit step, as shown. 3.5 a. From the graph, estimate 3 3 the system's time constant, 5 % overshoot and DC gain. 2 1.5 c. Using the information, find o.5 b. What is the system's damped natural frequency and damping ratio? the second order transfer function C(s)/R(s). 0.2 0.4 0.6 0.8 1.2 Time (sec) Unit Step Response .A plant has the response, c(), to a unit step, as shown....
Question 4: Consider the following system: 0.01 a) Describe the response to a unit step input for K 0.01 and K-0.1 and determine the value of K for a non-oscillatory minimum response time. b) If we let K-1, what will be the value of the steady state error of this system in response to a unit step input? c) If we now replace the "proportional controller" (the box with the K in it) with a proportional integral (PI) controller, with...
* please answer step by step. Problem # 1 (20 pts.) A. Given For the circuit: 12 12 20V+ 2Ω B. Determine Step 1: Find the equivalent resistance seen by the 20 V source Step 2: Find the value of the current lo. Step 3: Find the power generated by lo as it passes thru the indicated 2 resistor Problem # 1 (20 pts.) A. Given For the circuit: 12 12 20V+ 2Ω B. Determine Step 1: Find the equivalent...
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...
just the final answer 4. What are the four major characteristics of a closed-loop step response? a. Rise time, overshoot, settling time and steady-state b. Rise time, overflow, settling time and steady-state c. Rise start, overshoot, settling time and tracking error. error. error d. Rise start, overflow, settling time and tracking error. 5. The Ki response will decrease the: a) Steady-state error. b) Rise time ) Oversheo d) Tracking error I. The poles and zeros of a rational system function...
Determine the time constant and final value. Obtain the inverse Laplace transform for unit step input and plot the response of the system for 5 seconds using MATLAB. Verify the time constant and final value using the plot. C(s)/R(s) = 3/(s+5)
1. Given the impulse response, h[n duration 50 samples. (-0.9)"u[n, find the step response for a step input of h-(0.9)-10:491 -ones (1,50) s- conv(u,h) 2. Plot h and u using stem function for 50 samples only stem(10:491, s(1:50) 1. Given a system described by the following difference equation: yIn] 1143yn 1 0.4128y[n -2 0.0675x[n0.1349xn 0.675x[n-2] Determine the output y in response to zero input and the initial conditionsy-11 and yl-2] 2 for 50 samples using the following commands: a -,-1.143,...
Consider following block diagram, R(s) G(s) C(s) 5 a) Find time-domain unit-step response ct) of the system when G(s)= and then specify forced $+4 and natural parts of the response. 10 b) Find time-domain unit-step response c(t) of the system when G(s)= and then (s+2)(s+5) specify forced and natural parts of the response.