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Determine the transfer function H(s)/Q(s) for the liquid-level
system shown in Fig. Resistances R1
and R2 are linear. The flow rate from tank 3 is maintained constant
at b by means of a pump; i.e.,
the flow rate from tank 3 is independent of head h. The tanks are
noninteracting
given that the three tanks are connected in series
overall transfer function
where = transfer function of tank 1
=transfer function of tank 2
=transfer function of tank 3
liquid level systems are first order systems with time constant where A = area of tank and R = resistance to flow
where
where
where
given flow rate from tank 3 is maintained constant by means of a pump which means it is a pure capacitive system( those system whose output functions does not depend on its input function)
transfer function