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Given the state-variable model
and the output equations
obtain the expressions for the matrices A, B, C, and D.
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Chapter 5 Solutions
EBK SYSTEM DYNAMICS
- Given the following state-variable models, obtain the expressions for the matrices A, B, C, and D for the given inputs and outputs. The output is x₁; the inputs are 4₁ and 42. X₁ = -9x1 +5x2 + 3u1 2-9x2 +2u2arrow_forwardPlease answer in typing format Please answer in typing format Please answer in typing format pleasearrow_forward1. For the following mechanical translational system a. Write two differential equations of Order in s domain b. Change to time domain, and choose state variables c. Write the state equations, and the state matrix equation d. Write the output equation if x2 is the output Hint: the state variables will be x1, V1, X2, V2 X(1) fv, At) KI oll K3 M K2 0000 0000arrow_forward
- Use MATLAB to obtain a state model for the following equations; obtain the expressions for the matrices A, B, C, and D. In both cases, the input is f(t); the output: is y. a. 5d³yd²y +7. b. dy +3 dt³ dt² dt Y(s) 5 = F(s) s² +7s+4 - +6y=f(t)arrow_forwardComplete the answer as soon as possible thank youarrow_forwardThe ratio of output to input of a system in Laplace domain is known as Transfer function . Select one: True Falsearrow_forward
- The transfer function is the ratio of the Laplace transform of the input variable to the Laplace transform of the output variable, with all initial conditions equal to zero. True O Falsearrow_forward3m ä+4cx+2kx = 4cj+3ky For the system given above, obtain the state-space representation.arrow_forwardPlease solve the following question. Note that the second picture is the solution of the question from the book, I just want to know the steps to reach it.arrow_forward
- Solve the following without the use of AI. Show all steps. Thank You!arrow_forwardProblem 1: Write the transfer function of the systems. Problem 2: Write the differential equation and state space equation describing the following system. Please answer both the problems.arrow_forwarddoes such a decomposition end up using more bandwidth. (This is an exa Consider the mechanical system shown in the figure below. Suppose the system input u is the velocity d₁, its output y is the velocity d2, and its states ar are the position d2 and velocity d2. Obtain a state-space model of the form i = Ar + Bu and y = Cr + Du describing the system. d₂ d₁ b m k₂arrow_forward
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