Q2 (a) Explain what would happen to a physical system that becomes unstable? Give an example (b) A common application of control systems is in regulating the temperature ofa chemical process The flow of a chemical reactant to a process is controlled by an actuator and valve. The reactant causes the temperature in the vat to change. This temperature is sensed and compared to a desired set-point temperature in a closed loop, where the flow of reactant is adjusted to yield the desired temperature. The transfer function of the system is as shown below: s(s +3) G(s) = 3 + 5s? + 4s + 20 By using s-plane plot, show either the system is stable, marginally stable or unstable.

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Q2 (a) Explain what would happen to a physical system that becomes unstable? Give an
example
(b) A common application of control systems is in regulating the temperature of a chemical
process The flow of a chemical reactant to a process is controlled by an actuator and
valve. The reactant causes the temperature in the vat to change. This temperature is
sensed and compared to a desired set-point temperature in a closed loop, where the flow
of reactant is adjusted to yield the desired temperature. The transfer function of the
system is as shown below:
s(s +3)
G(s) =
53 + 5s2 + 4s + 20
By using s-plane plot, show either the system is stable, marginally stable or unstable.
Transcribed Image Text:Q2 (a) Explain what would happen to a physical system that becomes unstable? Give an example (b) A common application of control systems is in regulating the temperature of a chemical process The flow of a chemical reactant to a process is controlled by an actuator and valve. The reactant causes the temperature in the vat to change. This temperature is sensed and compared to a desired set-point temperature in a closed loop, where the flow of reactant is adjusted to yield the desired temperature. The transfer function of the system is as shown below: s(s +3) G(s) = 53 + 5s2 + 4s + 20 By using s-plane plot, show either the system is stable, marginally stable or unstable.
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