2.34 A model for the automatic gage control (AGC) system of a steel rolling mill

Question

2.34 A model for the automatic gage control (AGC) system of a steel rolling mill is shown in Figure P2.34. The rolls are pressed using a single acting hydraulic actuator with a valve displacement of u. The rolls are displaced through y, thereby pressing the steel that is being rolled. The rolling forceFis completely known from the steel parameters for a given y i. Identify the inputs and the controlled variable in this control system. ii. In terms of the variables and system parameters indicated in Figure P2.34, write dynamic equations for the system, including valve nonlinearities. iii. What is the order of the system? Identify the response variables. iv. What variables would you measure (and feed back through suitable controllers) in order to improve the performance of the control system? 2.35 A simplified model of a hotwater heating system is shown in Figure P2.35 Os rate of heat supplied by the furnace to the water heater (1000 kW) Ta ambient temperature (OC) Th temperature of water in the water heater. assumed uniform CoC) To temperature of the water leaving the radiator (OC) rate of heat from the to the ambience (kW) M mass of water in the water heater (500 kg)

Explanation / Answer

i) inputs to the systems are Yp,Yc,Y,Q and u,

controlled variables are Area, Volume, Pressure, Force,

iii) it is sinle order system, and responses are frequency and transmissibility

iv) I will measure Yp, Yc, Y, Q and uto improve prformance of the system

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