Find the Transfer Function model if the system input and output are respectively given by the following

Question:

Find the Transfer Function model if the system input and output are respectively given by the following equations:

\[\begin{aligned}& u(t)=e^{-t} \\& y(t)=2-3 e^{-t}+e^{-2 t} \cos 2 t\end{aligned}\]

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Design And Analysis Of Control Systems Driving The Fourth Industrial Revolution

ISBN: 9781032718804

2nd Edition

Authors: Arthur G O Mutambara

See More Books

Question Posted: Mar 14, 2024 10:00 PM

See More Questions

QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...
Microkernel operating systems aim to address perceived modularity and reliability issues in traditional "monolithic" operating systems. (i) Describe the typical architecture of a microkernel...
(i) Write down the linear program relaxation for the vertex cover problem and solve the linear program. [6 marks] (ii) Based on the solution of the linear program in (b)(i), derive an integer...
Smart Price Company, a producer of black forest cakes, has budgeted sales and production (in units) for the last quarter in 2019 to be as follows: Sales Production October November 26,000 28,000...
A 2.5-kg solid sphere (radius = 0.10 m) is released from rest at the top of a ramp and allowed to roll without slipping. The ramp is 0.75 m high and 5.6 m long. When the sphere reaches the bottom of...
Find v0(t) for t > 0 in the circuit in Fig. P6.64 and plot the response including the time interval just prior to moving the switch. 1 mH t-0 6.25 nF
Draw a cash flow diagram of any investment that exhibits both of the following properties: 1. The investment has a 4-year life. 2. The investment has a 10 percent/year internal rate of return.
Bluebird Manufacturing makes carrying cases for portable electronic devices. Its costing records yield the following information: Requirements 1. Which type of costing system is Bluebird using? What...
Lets summarize the analysis we carried out in the VC. What is driving economic (GDP) growth in India? What is driving it in China? As you look forward, how does this influence your expectations of...
Consider the following Transfer Function models for three dynamic systems. (a) \[H_{1}(s)=\frac{5 s}{s^{2}+2 s+5}\] (b) \[H_{2}(s)=\frac{5}{s^{2}+2 s+5}\] (c) \[H_{3}(s)=\frac{\omega_{n}^{2}}{s^{2}+2...
(a) Derive the State-Variable Matrix model of the electrical circuit in Figure 3.39. (b) Derive the Input-Output model (a second-order differential equation) of the same circuit. (c) Given the...
For how many months, at an interest rate of 1% per month, does money have to be invested before it will double in value?
An interest rate is given as 10 percent per year nominal. Determine the effective annual rate if a. compounding is annual. b. compounding is daily. c. compounding is continuous.
Find all possible values for each expression. $(-1+2 j)^{1 / 3}$
Mario and Claudia deposit $300 into their joint account at the end of each quarter. If their account earns 7 percent/ year/month (7 percent per year compounded monthly), how long will it take them to...
Write the expression in the form $D \cos (\omega t+\phi)$. $\sin t-\cos t$
What continuous uniform series of cash flows over 7 years can be paid out of a fund having $20,000 at the present (or time 0) if interest is 10 percent compounded continuously?
Find a cubic polynomial P(x) = ax3 + bx2 + cx + d that satisfies condition (i) by imposing suitable conditions on P(x) and P(x) at the start of descent and at touchdown.
In the series connection below, what are the respective power consumptions of R, R2, and R3? R R www 4 V=6V P1-3 W; P2=3W; and P3= 3 W OP10.5 W; P2-1 W; and P3= 1.5 W P1=1.5 W; P2=1 W; and P3= 0.5 W...
How do CSSs allow an analyst to produce output?
What are infographics?
What are the main uses for dashboards?
ICK an organization with which you have had experience. This could be your current employer or some other organization. How would you articulate the strategy of that organization? Do you think that...
How do your workplace's policies and procedures align with requirements in your state/territory in relation to responding to children at risk?
The Joint Planning Group (JPG) is in the initial stages of planning an operation in Zerbonia. Local governmental cooperation is pivotal. While the primary objective is military, there is a need for...

Find the Transfer Function model if the system input and output are respectively given by the following

Question:

Step by Step Answer:

Taking Laplace transforms of the input and output equations separately le...View the full answer

Design And Analysis Of Control Systems Driving The Fourth Industrial Revolution

Students also viewed these Computer science questions