R(s) + 50 C(s) s+1 a) Represent the system in a standard unity-feedback control structure and using any forms of your choice, construct a state-space representation of the closed-loop system. b) Using Routh-Hurtwitz criterion or any other means determine if the closed-loop system is stable or not. Specify the number of poles on the left-half s-plane, on the right-half s-plane and on the jw-axis. 2/5

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Consider the feedback system below for which we intend to study both the stability
and the steady-state properties.
R(s) +
50
C(s)
2
s+1
a) Represent the system in a standard unity-feedback control structure and using any
forms of your choice, construct a state-space representation of the closed-loop
system.
b) Using Routh-Hurtwitz criterion or any other means determine if the closed-loop
system is stable or not. Specify the number of poles on the left-half s-plane, on the
right-half s-plane and on the j w-axis.
Transcribed Image Text:Consider the feedback system below for which we intend to study both the stability and the steady-state properties. R(s) + 50 C(s) 2 s+1 a) Represent the system in a standard unity-feedback control structure and using any forms of your choice, construct a state-space representation of the closed-loop system. b) Using Routh-Hurtwitz criterion or any other means determine if the closed-loop system is stable or not. Specify the number of poles on the left-half s-plane, on the right-half s-plane and on the j w-axis.
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