A New Application of the Hill Repressor Function: Automatic Control of a Conic Tank Level and Local Stability Analysis

Table 1

Model parameters.

Parameter [3]	Description	Value	Units
	Tank parameter	0.262	—
	Tank parameter	0.5	m^2.5·s^−1
	Sensor gain	1	—
	Sensor time constant	1	S
	Sensor time delay	3	S
	Valve coefficient	1200	gpm·psi^0.5
	Pressure drop constant	800	gpm·psi^0.5
	Downstream pressure	27	psi
	Upstream pressure	1000	psi