The state variable equations and the output equation for a dynamic system are given as dot x 1 x 2 dot x 2 x 2 x 1 u prime quad y frac 1 2 x 1 x 2 end array ight Find the transfer function (or matrix) by determining the Laplace transforms of x 1 x 1 and x 2 x 2 in the state variable equations and u...

The Answer is in the image, click to view ...

The state-variable equations and the output equation for a dynamic system are given as dot{x}_{1}=x_{2} dot{x}_{2}=-x_{2}-x_{1}+u^{prime}

Question:

The state-variable equations and the output equation for a dynamic system are given as

\dot{x}_{1}=x_{2} \\
\dot{x}_{2}=-x_{2}-x_{1}+u^{\prime} \quad y=\frac{1}{2} x_{1}+x_{2}
\end{array}\right.\]

Find the transfer function (or matrix) by determining the Laplace transforms of $x_{1}$ and $x_{2}$ in the state-variable equations and using them in the Laplace transform of the output equation.

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

Step by Step Answer:

Related Book For answer-question

Modeling And Analysis Of Dynamic Systems

ISBN: 9781138726420

3rd Edition

Authors: Ramin S. Esfandiari, Bei Lu

See More Books

Question Posted: Mar 21, 2024 11:01 AM

See More Questions

Repeat Problem 13 for Data From Problem 13: The state-variable equations and the output equation for a dynamic system are given as \[\left\{\begin{array}{l} \dot{x}_{1}=x_{2} \\...
Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...
can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...
Two different types of tips can be used in a Rockwell hardness tester. Eight coupons from test ingots of a nickel based alloy are selected, and each coupon is tested twice, once with each tip. The...
The Financial Accounting Standards Board requires companies to supplement their consolidated financial statements with disclosures about segments of their businesses. To comply with this standard,...
What steps are followed in posting cash receipts from the general journal to the accounts receivable ledger?
John and Jennifer Margeson entered into a contract to sell a weight-loss franchise business called Inches-A-Weigh to Theresa Artis. The parties memorialized their agreement in an Asset Purchase...
Capital budget methods, no income taxes Riverbend Company runs hardware stores in a tristate area. Riverbends management estimates that if it invests $250,000 in a new computer system, it can save...
A broadcasting antenna emits a power of 40 W. The gain of the antenna is 300L. The receiving antenna is at a distance of 50 km from the transmitting antenna, and its effective surface area is 10-2 m....
The matrices in the state-space form of a system model are given. a. Find the transfer function (or transfer matrix) by using Equation 4.21. b. Verify the result of (a) by using the ss2tf command....
Given the transfer function $Y(s) / U(s)$, find a. The I/O equation. b. The state-space form directly from the I/O equation in (a). $\frac{s^{3}+2 s}{2 s^{4}+s^{2}+3 s+2}$
In Exercises find the points at which the graph of the equation has a vertical or horizontal tangent line. 25x + 16y + 200x160y + 400 = 0
According to a certain newspaper, in a recent recession, outstanding consumer credit in a certain country fell to $5,860,000,000,000the seventh straight monthly decline. Most of the drop came as a...
The actual annual trade between Italy and China is $52 billion and annual trade between China and the U.S. is $636 billion. Note that Italy's GDP is $2 trillion, China's GDP is $13 trillion, and the...
how does the economic model be for option x- Option X: Charging a 5% Climate Change Levy on the sale of newly built homes on designated areas such as floodplains. The money raised will be...
When discussing the challenges of leading groups in a criminal justice or private security organization: What are the Characteristics of groups in criminal justice organizations. The Common traits of...
Christian perspective, healthcare policy for the homeless funding and resources. Outline the financial aspects of your policy, including the budget required for implementation. Will there be public...
Distinguish between operating mergers and financial mergers.
Halley's comet travels in an ellipti- cal orbit with a = 17.95 and b = 4.44 and passes by Earth roughly every 76 years. Note that each unit represents one astronomical unit, or 93 million miles. The...
What principles of agile development apply to developing an app?
Which approach should a firm apply to address evolving user conventions in social media design?
List 8 of the 16 app development steps that deal with design.
Write an expression to represent the sum of three times the square of a number and 7 In your expression, what is the value of the constant?
the impedances of all parts of the circuit. A technician determined that the impedance of the first part of a particular circuit was 2+5jhmms. The impedance of the remaining part of the circuit was...
There are 5 different doughs, 2 different cheeses, and 6 different toppings to choose from. How many different pizzas can Mr. Cummings possibly order?

The state-variable equations and the output equation for a dynamic system are given as dot{x}_{1}=x_{2} dot{x}_{2}=-x_{2}-x_{1}+u^{prime}

Question:

Step by Step Answer:

Modeling And Analysis Of Dynamic Systems

Students also viewed these Computer science questions