Question: Consider a SISO system described by the second-order DE: Find the output of this system if the input signal is a unit step function x(n)

Consider a SISO system described by the second-order DE:

y(n+2)+0.4y(n+1)+ 0.03y(n) = x(n)

Find the output of this system if the input signal is a unit step function x(n) ¼ u(n)
with the initial conditions y(1) ¼ y(0) ¼ 0.

y(n+2)+0.4y(n+1)+ 0.03y(n) = x(n)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Systems Analysis And Design Using MATLAB Questions!

Q:

MAT 275 Laboratory 7 Laplace Transform and the Symbolic Math Toolbox In this laboratory session we will learn how to 1. Use the Symbolic Math Toolbox 2. Calculate the Laplace and Inverse Laplace...

Q:

CARLETON UNIVERSITY Department of Systems and Computer Engineering SYSC 3610 - Biomedical Systems, Modeling, and Control Fall Semester, 2016 Assignment #1 Assigned: 21-September-2016 Due: in drop-box...

Q:

Please help with this assignment. You need to use MATLAB (preferably a latest version). Please complete part 1 to 4 please and use the following functions from above. You can also use the "figure"...

Q:

We want to solve for the output y under the input signal u = sin(t) both analytically and numerically. The initial condition at time t0 = 0 is [1, 0, 1]T . In the questions below, we ask you to...

Q:

20 Problem 2: Consider the system R(s)G(s) X(s) with transfer function G(s) s +2s +10 x(1) be the inverse Laplace transform of R(s) and X(s), respectively. (Similar to Example 3.10) 2a. Find the...

Q:

20 s +2s +10 2: Consider the system R(s)-G(s)X(s) with transfer function G(s)= x(t) be the inverse Laplace transform of R(s) and X(s), respectively. 2a. Find the differential equation corresponding...

Q:

Appendix G: (Not required information but I put it here incase it might help) b. Build a Simulink program based on the transfer function in Eq. (2-8) with R= 10k12 and C = 10uF. to conduct...

Q:

In this question you will be asked to reflect on a project you have been involved in or observed, in which a design evolved, or could have evolved, through applying a theory of user behaviour. You...

Q:

(a) In SystemVerilog, what is the difference between: (i) The ternary operator ? and if...then...else statements? [2 marks] (ii) always_ff and always_comb? [2 marks] (iii) Blocking, non-blocking and...

Q:

In a Hopfield neural network configured as an associative memory, with all of its weights trained and fixed, what three possible behaviours may occur over time in configuration space as the net...

Q:

The surface of a horizontal, 20-mm-diameter cylinder is maintained at an excess temperature of 5C in saturated water at 1 atm. Estimate the heat flux using the appropriate free convection correlation...

Q:

Company E has two divisions, Division A and Division B. Division A is currently buying Component X from an external seller for $14. Division B produces Component X and has excess capacity. Using the...

Q:

Assess the role of modern accounting theories in guiding research in accounting. Discuss how contemporary theories, such as stakeholder theory, legitimacy theory, and behavioral accounting theory,...

Q:

What is the definition of cooperative strategy, and why is this strategy important to firms competing in the current competitive landscape?

Q:

34. For the stress matrix below, the two principal stresses are given as ai =2 and aj = 3, respec tively. In addition, two principal directions corresponding to the two principal stresses are also...

Q:

33. A cold-rolled steel shaft is used to transmit 60 kW at 500 rpm from a motor. What should be the diameter of the shaft if the shaft is 6 m long and is simply supported at its end? The shaft also...

Q:

32. A thin-walled cylindrical pressure vessel with closed ends is subjected to an internal pressure p = 100 psi and also a torque T around its axis of symmetry. Determine T that will cause yield ing...

Q:

Perez Manufacturing Company produced 2,000 units of inventory in January year 2. It expects to produce an additional 10,400 units during the remaining 11 months of the year. In other words, total...

Q:

3 of 20 View Policies > -15 Current Attempt in Progress Cullumber Manufacturing manufactures a single product. Annual production costs incurred in the manufacturing process are shown below for the...

Q:

ok t ances Exercise 1-4 (Algo) Fixed and Variable Cost Behavior [LO1-4] Espresso Express operates a number of espresso coffee stands in busy suburban malls. The fixed weekly expense of a coffee stand...