Why is a linearised model known as the small changes model? Control valve qin b b = 0.21 m d = 0.298 m Exit Diameter = 14 mm Cd = 0.6 h_op = 0.53 m FIG Q1 qout Using the parameters below develop a model of the level system shown in FIG Q1, use qin as the input (i.e. a valve model is not required) In the time domain, show that the system is non-linear What qin is required to reach the operating point h_op? Linearise the system around the operating point shown below (h_op) and determine the system's transfer function at this point. Why is a linearised model known as the small changes model? Control valve qin b b = 0.21 m d = 0.298 m Exit Diameter = 14 mm Cd = 0.6 h_op = 0.53 m FIG Q1 qout Using the parameters below develop a model of the level system shown in FIG Q1, use qin as the input (i.e. a valve model is not required) In the time domain, show that the system is non-linear What qin is required to reach the operating point h_op? Linearise the system around the operating point shown below (h_op) and determine the system's transfer function at this point.