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12: Control-Loop Characteristics12: Control-Loop CharacteristicsControl System ConfigurationsControl System Configurations Single VariableSingle Variable
Independent Single VariableIndependent Single Variable
12: Control-Loop Characteristics12: Control-Loop CharacteristicsControl System ConfigurationsControl System Configurations Single VariableSingle Variable
Independent Single VariableIndependent Single Variable Interactive Single VariableInteractive Single Variable
12: Control-Loop Characteristics12: Control-Loop CharacteristicsControl System ConfigurationsControl System Configurations Single VariableSingle Variable
Independent Single VariableIndependent Single Variable Interactive Single VariableInteractive Single Variable Compound VariableCompound Variable
12: Control-Loop Characteristics12: Control-Loop CharacteristicsControl System ConfigurationsControl System Configurations Cascade ControlCascade Control
12: Control-Loop Characteristics12: Control-Loop CharacteristicsControl System ConfigurationsControl System Configurations Cascade ControlCascade Control
12: Control-Loop Characteristics12: Control-Loop CharacteristicsMultivariable Control SystemsMultivariable Control Systems Analog ControlAnalog Control
Example:In a reaction vessel, two reactants are mixed, react, and the product is drawn from the bottom. The reaction rate is to be controlled.
It is also important to keep the reaction temperature and vessel pressure below certain limits&The level is to be controlled at some nominal value.
12: Control-Loop Characteristics12: Control-Loop CharacteristicsMultivariable Control SystemsMultivariable Control Systems Analog ControlAnalog Control Supervisory & Direct Digital Control (DDC)Supervisory & Direct Digital Control (DDC)
May use May use self-adaptingself-adapting algorithms. algorithms.
12: Control-Loop Characteristics12: Control-Loop CharacteristicsControl System QualityControl System Quality Definition of QualityDefinition of Quality
Loop DisturbanceLoop DisturbanceQualityQuality: the degree to which the deviations that result from : the degree to which the deviations that result from
the disturbances are minimized.the disturbances are minimized.
12: Control-Loop Characteristics12: Control-Loop CharacteristicsControl System QualityControl System Quality Definition of QualityDefinition of Quality
A system is stable if the phase lag is less A system is stable if the phase lag is less than 180° at the frequency for which the gain than 180° at the frequency for which the gain is unity.is unity.
A system is stable if the gain is less than one A system is stable if the gain is less than one at the frequency for which the phase lag is at the frequency for which the phase lag is 180 °180 °
Known as Known as Process-ReactionProcess-Reaction Method Method Only for systems with self-regulationOnly for systems with self-regulation
1.1. Open the loop (No feedback) by disconnecting Open the loop (No feedback) by disconnecting the controller’s output from the final element.the controller’s output from the final element.
2.2. Introduce a transient disturbance by a small, Introduce a transient disturbance by a small, manual change of the controlling variable using manual change of the controlling variable using the final control element.the final control element.
3.3. Measure the controlled variable (record it versus Measure the controlled variable (record it versus time).time).
Known as Known as Ultimate Cycle Ultimate Cycle MethodMethod1.1. Reduce any integral and derivative actions to Reduce any integral and derivative actions to
their minimum effect.their minimum effect.
2.2. Gradually begin to increase the proportional gain Gradually begin to increase the proportional gain while providing periodic small disturbances to while providing periodic small disturbances to the process.the process.
3.3. Note the gain Note the gain KKCC at which the dynamic variable at which the dynamic variable
just begins to exhibit steady cycling (oscillations just begins to exhibit steady cycling (oscillations about the setpoint).about the setpoint).
4.4. Note the critical period Note the critical period TTCC of these oscillations of these oscillations
1.1. If the phase lag is less than 140° at the unity If the phase lag is less than 140° at the unity gain frequency, the system is stable.gain frequency, the system is stable.
2.2. If the gain is 5 dB below unity (gain = 0.56) If the gain is 5 dB below unity (gain = 0.56) when the phase lag is 180°, the system is when the phase lag is 180°, the system is stable.stable.