Method of control device and control device
AssigneeFuji Electric Co., Ltd.
InventorFukiko Kawai
Life of this patent
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Abstract
A method of designing a control device that controls a controlled variable of a plant to a set point, the control device including a feedback control system for outputting a manipulated variable of the plant based on an output of a feedback controller and a disturbance estimation value, including a step of selecting one of a first order transfer function, a second order transfer function, a third order transfer function, a first order and time delay transfer function, a second order and time delay transfer function, and a third order and time delay transfer function as a transfer function of the nominal plant in accordance with characteristics of the plant; and a step of determining a transfer function of the feedback controller based on a gain and time constant of the nominal plant.
Claims11
A method of designing a control device that controls a controlled variable of a plant to a set point, the control device comprising a feedback control system, which includes:
- a feedback controller into which a difference between the set point and the controlled variable is input, and
- a disturbance feedback that outputs a disturbance estimation value wherein a difference between an output of a nominal plant into which an output of the feedback controller is input, and the controlled variable, is multiplied by a feedback gain, and
- which outputs a manipulated variable of the plant based on the output of the feedback controller and the disturbance estimation value,
- the method of designing a control device comprising:
- selecting one of a first order transfer function, a second order transfer function, a third order transfer function, a first order and time delay transfer function, a second order and time delay transfer function, and a third order and time delay transfer function as a transfer function of the nominal plant in accordance with characteristics of the plant;
- and
- determining a transfer function of the feedback controller based on a gain and time constant of the nominal plant, wherein
- when the first order transfer function in Equation (1) is selected as a transfer function Pn of the nominal plant, a transfer function K of the feedback controller is determined in Equation (2) based on a gain Kn and time constant Tn of the nominal plant,
- when the second order transfer function in Equation (3) is selected as the transfer function Pn of the nominal plant, the transfer function K of the feedback controller is determined as in Equation (4) based on the gain Kn and time constants T1n and σn of the nominal plant, and
- when the third order transfer function in Equation (5) is selected as the transfer function Pn of the nominal plant, the transfer function K of the feedback controller is determined in Equation (6) based on the gain Kn and time constants T1n, T2n, and σn of the nominal plant,
- P
- n
- =
- K
- n
- 1
- +
- T
- n
-
- s
- (
- 1
- )
- K
- =
- 1
- 2
-
-
- K
- n
-
- T
- n
-
- s
- (
- 2
- )
- P
- n
- =
- K
- n
- (
- 1
- +
- T
- 1
-
-
- n
-
- s
- )
-
- (
- 1
- +
- σ
- n
-
- s
- )
- ,
- σ
- n
- <
- T
- 1
-
-
- n
- (
- 3
- )
- K
- =
- T
- 1
-
-
- n
- 2
-
-
- K
- n
-
- σ
- n
- ·
- 1
- +
- T
- 1
-
-
- n
-
- s
- T
- 1
-
-
- n
-
- s
- (
- 4
- )
- P
- n
- =
- K
- n
- (
- 1
- +
- T
- 1
-
-
- n
-
- s
- )
-
- (
- 1
- +
- T
- 2
-
-
- n
-
- s
- )
-
- (
- 1
- +
- σ
- n
-
- s
- )
- ,
- σ
- n
- <
- T
- 2
-
-
- n
- <
- T
- 1
-
-
- n
- (
- 5
- )
- K
- =
- T
- 1
-
-
- n
- 2
-
-
- K
- n
-
- σ
- n
- ·
- (
- 1
- +
- T
- 1
-
-
- n
-
- s
- )
-
- (
- 1
- +
- T
- 2
-
-
- n
-
- s
- )
- T
- 1
-
-
- n
-
- s
- .
- (
- 6
- )
A method of designing a control device configured as a set point filter type two degrees of freedom PID control system, the control device comprising:
- a filter into which a set point of a controlled variable of a plant is input, and
- a first feedback controller into which a difference between an output of the filter and the controlled variable is input, and which outputs a manipulated variable of the plant,
- the control device controlling the controlled variable to the set point,
- the design method of the control device comprising:
- equivalently converting a feedback control system to the set point filter type two degree of freedom PID control system, the feedback control system including a second feedback controller into which a difference between the set point and the controlled variable is input, and a disturbance feedback that outputs a difference between an output of a nominal plant into which an output of the second feedback controller is input, and the controlled variable, with multiplying by a feedback gain;
- and
- in the equivalently converting the feedback control system, determining a transfer function F of the filter and a transfer function K′ of the first feedback controller based on the feedback gain L, a transfer function K of the second feedback controller, and a transfer function Pn of the nominal plant, according to following equations 7 and 8:
- K
- ′
- =
- L
- +
- K
- +
- LP
- n
-
- K
- (
- 7
- )
- F
- =
- K
- +
- LP
- n
-
- K
- L
- +
- K
- +
- LP
- n
-
- K
- .
- (
- 8
- )
A control device that controls a controlled variable of a plant to a set point, comprising:
- a set point filter type two degrees of freedom PID control system including
- a filter into which the set point is input, and
- a first feedback controller into which a difference between an output of the filter and the controlled variable is input and which outputs a manipulated variable of the plant,
- wherein a feedback control system including a second feedback controller into which a difference between the set point and the controlled variable is input, and a disturbance feedback that outputs a difference between an output of a nominal plant into which an output of the second feedback controller is input, and the controlled variable, with multiplying by a feedback gain L, is equivalently converted to the set point filter type two degrees of freedom PID control system,
- a transfer function F of the filter and a transfer function K′ of the first feedback controller are configured to be determined by following equations 9 and 10 based on the feedback gain L, a transfer function K of the second feedback controller, and a transfer function Pn of the nominal plant,
- K
- ′
- =
- L
- +
- K
- +
- LP
- n
-
- K
- (
- 9
- )
- F
- =
- K
- +
- LP
- n
-
- K
- L
- +
- K
- +
- LP
- n
-
- K
- .
- (
- 10
- )
Dependencies are inferred from the claim text.