Given a state space model[11+ 0 u-1-2y = [1 1 0]with input u and output y.a). Derive the transfer function representation.b). Derive the differential equations representation.c). Compute the response y(t) with step control input u(t) = 1(t) and zero initial condition.d).and initial condition r(0) = [11 0]".Compute the state response r(t) with control input u(t) = 1(t)

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Given a state space model [1 0 1 + 0 u -1 [1 1 0] |#2 - input u and output y. Derive the transfer function representation. Derive the differential equations representation. Compute the response y(t) with step control input u(t) = 1(t) and zero initial condition.

Given a state space model [1 0 1 + 0 u -1 [1 1 0] |#2 - input u and output y. Derive the transfer function representation. Derive the differential equations representation. Compute the response y(t) with step control input u(t) = 1(t) and zero initial condition.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

Given a state space model
[1
1
+ 0 u
-1
-2
y = [1 1 0]
with input u and output y.
a). Derive the transfer function representation.
b). Derive the differential equations representation.
c). Compute the response y(t) with step control input u(t) = 1(t) and zero initial condition.
d).
and initial condition r(0) = [11 0]".
Compute the state response r(t) with control input u(t) = 1(t)

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