For the mechanical system, the output of the system is considered to be the displacement of the mass, y(t); and as an input signal is the strength x(t) that applies to the mass. Consider that the state variables will be the displacement and its velocity: ₁(t) = y(t)y λ₂(t) = y(t). N Consider that:k = 2; m = 2kg ; b = 4; m k m x(t) y(t) Using the Laplace Transform, to obtain: a. Differential equation of the system. b. Representation in state variables. c. Representation in state variables in observable canonical form. d. h(t), the impulsive response of the system. e. If the input signal is x(t) = ½etu(t), with initial conditions y(0+)= 1; y' (0+) = -2 with FCO. Find for the observable canonical form i. A(t), the vector of states at zero input; ii. y(t), la respuesta del sistema.
For the mechanical system, the output of the system is considered to be the displacement of the mass, y(t); and as an input signal is the strength x(t) that applies to the mass. Consider that the state variables will be the displacement and its velocity: ₁(t) = y(t)y λ₂(t) = y(t). N Consider that:k = 2; m = 2kg ; b = 4; m k m x(t) y(t) Using the Laplace Transform, to obtain: a. Differential equation of the system. b. Representation in state variables. c. Representation in state variables in observable canonical form. d. h(t), the impulsive response of the system. e. If the input signal is x(t) = ½etu(t), with initial conditions y(0+)= 1; y' (0+) = -2 with FCO. Find for the observable canonical form i. A(t), the vector of states at zero input; ii. y(t), la respuesta del sistema.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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hello if you can help me with all the literals I would appreciate it if not with the ones I can
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Transcribed Image Text:For the mechanical system, the output of the system is considered to be the
displacement of the mass, y(t); and as an input signal is the strength x(t) that
applies to the mass. Consider that the state variables will be the displacement and
its velocity: ₁(t) = y(t)y λ₂(t) = y(t).
N
Consider that:k = 2; m = 2kg ; b = 4;
m
k
m
x(t)
y(t)
Using the Laplace Transform, to obtain:
a. Differential equation of the system.
b. Representation in state variables.
c. Representation in state variables in observable canonical form.
d. h(t), the impulsive response of the system.
e. If the input signal is x(t) = ½etu(t), with initial conditions y(0+)= 1;
y' (0+) = -2 with FCO. Find for the observable canonical form
i. A(t), the vector of states at zero input;
ii. y(t), la respuesta del sistema.
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