

MATLAB Script:
clear
clc
A = [0 1; 0 -0.05];
B = [0; 0.001];
C = [1 0];
D = 0;
sys = ss(A,B,C,D);
step(sys)
Step response graph

bi E9uaions o moton .f the automatve cruise central s glven a -o.oos plat the unit...
bi E9uaions o moton .f the automatve cruise central s glven a -o.oos plat the unit step response by using MAT LA&
bi E9uaions o moton .f the automatve cruise central s glven a -o.oos plat the unit step response by using MAT LA&
8. Let s={[, o+00} () Define s : F +C ws (14: :)) - a + bi. Show that s is an isomorphism (a) Prove that F is a field. (b) Define f: F C by f = a + bi. Show that f is an isomorphism of fields.
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....
1 F 2 H 2Ω What is the final value of the unit step response in the time domain? a. 0.1 (V) o b.ov O d.0.75 (V)
4. Consider the transfer function, Y(s)_ 3 F(s) + s(s2 + 2s + 4) (a) Qualitatively, what is the time response y(t) if f(t) represents a unit-step input? What is the value of y(t) when time is sufficiently large? What is the time constant that we may use to evaluate the "speed" of response? (b) Repeat step (a) if f(t) represents an impulse input. What is y(t) when time is sufficiently large?
Express f in terms of unit step functions. f(t) 0 ft) = t + (t-2)2(t-1) O f(t)-t - 2t2l(t -1) (t - 2)22(t - 2) O f(t)t - (t - 1)2l(t - 1) (t 1)2l(t - 2) Find ift)) and Xíe f(t). (Enter your answer in terms of s.) 1-2625 (s + 1)
Select ALL central atoms that can form compounds with an expanded octet. Br S O F B
Estimate the second derivative of the following function using stencils for the FORWARD and CENTRAL derivatives for an order of accuracy of O(h2) for each. Use a step size of h -1. fo)x-2x2 +6 Second derivative, Forward Difference Approximation, o(h2)- Second derivative, Central Difference Approximation, O(h2) Which of the two methods is closer to the true value? (Forward/Central 12.5 points Differential Equation Estimate the second derivative of the following function using stencils for the FORWARD an derivatives for an order...
Consider the function: 10x2 + 2x + 2.5 = f(s) Obtain: 1.) the transfer function X(s)/F(s) treating f(t) as a unit step function 2.) the transfer function X(s)/F(s) treating f(t) as a unit impulse function Plot both responses using Matlab and explain the differences
4. Consider the transfer function, Y($) F(S) 3 S(52 +2s + 4) (a) Qualitatively, what is the time response y(t) if f(t) represents a unit-step input? What is the value of y(t) when time is sufficiently large? What is the time constant that we may use to evaluate the "speed" of response? (b) Repeat step (a) if f(t) represents an impulse input. What is y(t) when time is sufficiently large?