Question: A nonlinear model is given. a. Obtain the linear state-space form in Simulink. b. Derive the linearized model analytically to confirm the result of (a).

A nonlinear model is given.

a. Obtain the linear state-space form in Simulink.

b. Derive the linearized model analytically to confirm the result of (a).

\(\ddot{x}+\dot{x}+x|x|=1+\sin t, \quad x(0)=0, \quad \dot{x}(0)=1\)

Step by Step Solution

★★★★★

3.36 Rating (149 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a Linear StateSpace Form in Simulink To obtain the linear statespace form in Simulink we first need ... View full answer

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 Questions!

Q:

What are you supposed to do? 1. Watch the first episode of the first season of this tv show "The Office" 2. There are five main characters in the episode: a. Michael Scott, regional manager of the...

Q:

Establish the identity. 1 - 2 sin? 0 sin 0 cos 0 cot 0 tan 0

Q:

In Problems 2128, determine whether each function is linear or nonlinear. If it is linear, determine the slope. X -2 -1 0 1 2 y = f(x) -8 -3 0 1 0

Q:

A nonlinear model is given. a. Obtain the linear state-space form in Simulink. b. Derive the linearized model analytically to confirm the result of (a). \(2 \ddot{x}+x^{3}=\frac{1}{8}+\sin t, \quad...

Q:

A nonlinear model is given. a. Obtain the linear state-space form in Simulink. b. Derive the linearized model analytically to confirm the result of (a). \(\ddot{x}+\dot{x}|\dot{x}|+x=\frac{1}{2}+\cos...

Q:

Applied Mathematics and Computation 95 (1998) 181192 Love dynamics: The case of linear couples Sergio Rinaldi 1 Centro Teoria dei Sistemi, CNR, Politecnico di Milano, Via Ponzio 34/5, 20133 Milan,...

Q:

Submitted to Management Science manuscript MS-0001-1922.65 Authors are encouraged to submit new papers to INFORMS journals by means of a style file template, which includes the journal title....

Q:

The mathematical model of a nonlinear system is given in the following, where \(u(t)\) is the unit-step input. a. Plot \(x_{2}(t)\) by simulating the Simulink model. b. Derive the linearized model...

Q:

Math\t107-6381\t-\tQuiz\t#4\t-\tSchultz\t-\tDue\tFebruary\t21,\t2016\t-\tpage\t1\tof 3 Follow\tthese\tdirections\tcarefully. This\tquiz\tis\tdue\tby\t11:59\tEastern\ttime\ton\tFebruary\t21,\t2016. o...

Q:

Fraction of hosts infected Case Study 2 Hosts, Parasites, and Time-Travel 0.8 0.6 0.4 0.2 0 Past Contemporary Future Time Figure \u00031 Horizontal axis is the time from which the parasite was taken,...

Q:

7.36. Sketch a temperature-composition phase diagram (see i Figures 7.14 and 7.15 for examples) for the CCl/HCOOH and HCOOH/pyridine solutions, using data from Table 7.1. How are the two phase...

Q:

You have been asked to manage a $3 million university endowment fund, which is used to fund the additional salary stipend for 5 endowed chair positions. The stipend for each chair is $30,000 (for a...

Q:

5. Curvilinear Relationship Between Vehicle Speed and Traffic Flow. In working further with the problem of exercise 4, statisticians suggested the use of the following curvilinear estimated...

Q:

1 Do you think B&R should issue corporate credit cards in Vietnam? Why or why not?

Q:

In an unbalanced three-phase system, line-to-neutral voltage _____________ have a zero-sequence component, whereas line-to-line voltages ____________ have a zero-sequence component.

Q:

The sequence components \(V_{0}, V_{1}\), and \(V_{2}\) can be expressed in terms of phase components \(V_{a}, V_{b}\), and \(V_{c}\). \(V_{0}=\) _______________; \(V_{1}=\)_______________ \(;...

Q:

In terms of sequence components of phase \(a\) given by \(V_{a 0}=V_{0}, V_{a 1}=V_{1}\), and \(V_{a 2}=V_{2}\), give expressions for the phase voltages \(V_{a}, V_{b}\), and \(V_{c}\)....

Q:

Consider the following Income statement for the Heir Jordan Corporation: HEIR JORDAN CORPORATION Income Statement $42,000 32,800 Sales Costs Taxable income Taxes (24%) $ 9,200 2,208 Net Income $...

Q:

Finish the Budget spreadsheet DO NOT CHANGE ANY FORMULAS! Change LastName . # in cell a 1 to your last name and dot number I have entered the appropriate taxes and other deductions for a single...

Q:

ConocoPhillips Spin-off of Phillips 66 - Need help with Q4 & 5.