EBK SYSTEM DYNAMICS
3rd Edition
ISBN: 8220100254963
Author: Palm
Publisher: MCG
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Chapter 5, Problem 5.14P
Obtain the state model for the transfer-function model
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Get the input-output model
Get the Transfer Function
Get representation in State Variables
Prob.1. Construct the state model for the following transfer function
s +3
G(s) =
s* + 3s + 2
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)
Chapter 5 Solutions
EBK SYSTEM DYNAMICS
Ch. 5 - Prob. 5.1PCh. 5 - Obtain the transfer function Xs/Fs from the block...Ch. 5 - Obtain the transfer function Xs/Fs from the block...Ch. 5 - Draw a block diagram for the following equation....Ch. 5 - Draw a block diagram for the following model. The...Ch. 5 - Referring to Figure P5.6, derive the expressions...Ch. 5 - Prob. 5.7PCh. 5 - Prob. 5.10PCh. 5 - Obtain the state model for the reduced-form model...Ch. 5 - Obtain the state model for the reduced-form model...
Ch. 5 - Prob. 5.13PCh. 5 - Obtain the state model for the transfer-function...Ch. 5 - Obtain the state model for the two-mass system...Ch. 5 - Prob. 5.16PCh. 5 - Put the following model in standard state-variable...Ch. 5 - Given the state-variable model...Ch. 5 - Given the following state-variable models, obtain...Ch. 5 - Prob. 5.20PCh. 5 - The transfer function of a certain system is...Ch. 5 - Prob. 5.22PCh. 5 - Prob. 5.23PCh. 5 - Use MATLAB to obtain a state model for the...Ch. 5 - Use MATLAB to obtain a state-variable model for...
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- Translational mechanical systems Get the input-output model Get the Transfer Function Get representation in State Variablesarrow_forwardUse the block diagram reduction method, find the transfer function, C(s)/R(s), of the system shown below. R(s) G1 G2 C(s) H2arrow_forwardDerive transfer function for the following mechanical system: x(t) - Laplace transforms. f(t) M Spring K Damper B. Referencearrow_forward
- Example For the system shown, the equations of motion are given by m₁x₁ + cx₁ + kx₁ Cx₂ = 0 m₂X₂ + CX₂ cx1 = F Use state space method to reduce the equation of motion into a system of 1st order differential equations. www m₁ m₂ farrow_forwardM X(1) 3. Find the state transition matrix of the system i = Ax, where A = o a) Using the infinite series expansion of et. b) Using the inverse Laplace transform of (sl - A)-1. elearrow_forwardEXAMPLE -- Consider the following transfer function: B(s) 2 + 5 + 3s + 6 + 65+ 11s +6 A(s)arrow_forward
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