Question

S4 The differential equation that de s cribe Control System is given as y is the system out fut and u is the where inPut sign

Automatic Course.. Please answer

0 0
Add a comment Improve this question Transcribed image text
Answer #1

+20 u A pplying Loplace transsatm we get KS)8s YLE) +S Y() 50s U) S0St 2 O Y(S) U(S) (S+58 Gniuen 4mput s unt Step UCs) 50S20APPlying Pastial fxack tons Mathod 50S+2o Ao S (Sta.6) (S+ 7.31) AI +A2 $17.31 Sto.62 50S 20Ao(s+0.68 J(s+1-31) +A(s)(S+1.3 +

Add a comment
Know the answer?
Add Answer to:
Automatic Course.. Please answer S4 The differential equation that de s cribe Control System is given...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Question given an LTI system, characterized by the differential equation d’y() + 3 dy + 2y(t)...

    Question given an LTI system, characterized by the differential equation d’y() + 3 dy + 2y(t) = dr where x(t) is the input, and y(t) is the output of the system. a. Using the Fourier transform properties find the Frequency response of the system Hw). [3 Marks] b. Using the Fourier transform and assuming initial rest conditions, find the output y(t) for the input x(t) = e-u(t). [4 Marks] Bonus Question 3 Marks A given linear time invariant system turns...

  • 2.6.1 Consider a causal continuous-time LTI system described by the differential equation u"(t) +...

    2.6.1-2.6.62.6.1 Consider a causal contimuous-time LTI system described by the differential equation$$ y^{\prime \prime}(t)+y(t)=x(t) $$(a) Find the transfer function \(H(s)\), its \(R O C\), and its poles.(b) Find the impulse response \(h(t)\).(c) Classify the system as stable/unstable.(d) Find the step response of the system.2.6.2 Given the impulse response of a continuous-time LTI system, find the transfer function \(H(s),\) the \(\mathrm{ROC}\) of \(H(s)\), and the poles of the system. Also find the differential equation describing each system.(a) \(h(t)=\sin (3 t) u(t)\)(b)...

  • Consider a continuous time system given by the differential equation j(t) + 4y(t) + 4y(t) =...

    Consider a continuous time system given by the differential equation j(t) + 4y(t) + 4y(t) = 4ü(t) + 2i(t) + 4v(t). Suppose that the input v(t) is given by y(t) = e-2 u(t)where u(t)equals the step signal. Determine the corresponding response y(t), showing all your workings.

  • please help. Note: u(t) is unit-step function Consider the system with the differential equation: dyt) +...

    please help. Note: u(t) is unit-step function Consider the system with the differential equation: dyt) + 2 dy(t) + 2y(t) = dr(t) – r(e) dt2 dt where r(t) is input and y(t) is output. 1. Find the transfer function of the system. Note that transfer function is Laplace transform ratio of input and output under the assumption that all initial conditions are zero. 2. Find the impulse response of the system. 3. Find the unit step response of the system...

  • Consider the linear system given by the following differential equation y(4) + 3y(3) + 2y +...

    Consider the linear system given by the following differential equation y(4) + 3y(3) + 2y + 3y + 2y = ů – u where u = r(t) is the input and y is the output. Do not use MATLAB! a) Find the transfer function of the system (assume zero initial conditions)? b) Is this system stable? Show your work to justify your claim. Note: y(4) is the fourth derivative of y. Hint: Use the Routh-Hurwitz stability criterion! c) Write the...

  • Given the following differential equation for some plant, dy +7.+ 15y = 2x(t) dt dt a....

    Given the following differential equation for some plant, dy +7.+ 15y = 2x(t) dt dt a. Find the steady-state output for a unit-step input. b. Find the step response of the plant; that is, solve for the output if the input is a step function, x(t) = u(t).

  • 2. The output of a system is given by the differential equation below: Determine the free...

    2. The output of a system is given by the differential equation below: Determine the free respqnse y(t) of the system for y(0)-1 and y(0) = 0. Determine the forced response y(t) of the system for a unit impulse input. y + 4y +29y F(t) a. b.

  • Consider the differential equation y(t) + 69(r) + 5y( Q3. t)u(t), where y(0) (0)0 and iu(t) is a ...

    Matlab code for the following problems. Consider the differential equation y(t) + 69(r) + 5y( Q3. t)u(t), where y(0) (0)0 and iu(t) is a unit step. Deter- mine the solution y(t) analytically and verify by co-plotting the analytic solution and the step response obtained with the step function. Consider the mechanical system depicted in Figure 4. The input is given by f(t), and the output is y(t). Determine the transfer function from f(t) to y(t) and, using an m-file, plot...

  • A causal discrete-time LTI system is described by the equation

    A causal discrete-time LTI system is described by the equationwhere z is the input signal, and y the output signal y(n) = 1/3x(n) + 1/3x(n -1) + 1/3x(n - 2) (a) Sketch the impulse response of the system. (b) What is the dc gain of the system? (Find Hf(0).) (c) Sketch the output of the system when the input x(n) is the constant unity signal, x(n) = 1. (d) Sketch the output of the system when the input x(n) is the unit step signal, x(n)...

  • Q3. Let Grepresent a system described by the following differential equation: diye) + y(t) = dre)...

    Q3. Let Grepresent a system described by the following differential equation: diye) + y(t) = dre) - 10) where x(1) is the input signal and y(t) is the output signal. a. (15 points) Determine the output yı(t) of G when the input is x below: 0 0 : otherwise b. (10 points) Consider a feedback loop that contains the system G, as shown below: Find a differential equation that relates w(l) to yo) when K = 10. Your differential equation...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT