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Control Theory. Session 4 – Static Characteristics. The static process characteristic. Tells us A Tells us B. A- What the possible process equilibria are and is as such not dependent on properties of the control loop the process might be part of.
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ControlTheory Session 4 – Static Characteristics
The static process characteristic • Tells us A • Tellsus B A- What the possibleprocessequilibria are and is as suchnotdependentonproperties of the control loop the processmightbe part of. B- What the possibleprocessequilibria are given the entirecontrol loop – thischaracteristicdependsalsoon the parameters of the controller. [Default] [MC Any] [MC All]
Given a P controller, the point (r,b) • Is always part of the control charaxcteristic. • Is only part of the control characteristic when the bias is chosen well. [Default] [MC Any] [MC All]
Which is true for a control system with P controller? • Static process and controlcharacteristicalways cross in (r,b). • Static process and controlcharacteristic cross in (r,b) when the bias is calculated based on that value of r. • Static process and controlcharacteristic cross in (r,b) when the bias is calculated based on that value of r AND based on the value of d that was used to find the static process characteristic. [Default] [MC Any] [MC All]
(See blackboard). The steady state error is given by • A • B • C • D [Default] [MC Any] [MC All]
Group Task Process: Sensor and actuator: Controller:
Group Task Try to find out what the steady state error is when Tref = 32 °C and Tin changes from 40 °C to 70 °C. Both use graphs and calculations.