A Proportional Integral Derivative (PID) controller is a generic feedback control loop mechanism widely used in industrial control systems. A PID controller is the most commonly used type of feedback controller.
This set of functions implements (PID) controllers for Q15, Q31, and floating-point data types. The functions operate on a single sample of data and each call to the function returns a single processed value. S
points to an instance of the PID control data structure. in
is the input sample value. The functions return the output value.
- Algorithm:
y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2]
A0 = Kp + Ki + Kd
A1 = (-Kp ) - (2 * Kd )
A2 = Kd
- where
Kp
is proportional constant, Ki
is Integral constant and Kd
is Derivative constant
Proportional Integral Derivative Controller
- The PID controller calculates an "error" value as the difference between the measured output and the reference input. The controller attempts to minimize the error by adjusting the process control inputs. The proportional value determines the reaction to the current error, the integral value determines the reaction based on the sum of recent errors, and the derivative value determines the reaction based on the rate at which the error has been changing.
- Instance Structure
- The Gains A0, A1, A2 and state variables for a PID controller are stored together in an instance data structure. A separate instance structure must be defined for each PID Controller. There are separate instance structure declarations for each of the 3 supported data types.
- Reset Functions
- There is also an associated reset function for each data type which clears the state array.
- Initialization Functions
- There is also an associated initialization function for each data type. The initialization function performs the following operations:
- Initializes the Gains A0, A1, A2 from Kp,Ki, Kd gains.
- Zeros out the values in the state buffer.
- Instance structure cannot be placed into a const data section and it is recommended to use the initialization function.
- Fixed-Point Behavior
- Care must be taken when using the fixed-point versions of the PID Controller functions. In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. Refer to the function specific documentation below for usage guidelines.
Initialization function for the floating-point PID Control.
- Parameters
-
[in,out] | *S | points to an instance of the PID structure. |
[in] | resetStateFlag | flag to reset the state. 0 = no change in state & 1 = reset the state. |
- Returns
- none.
- Description:
- The
resetStateFlag
specifies whether to set state to zero or not.
The function computes the structure fields: A0
, A1
A2
using the proportional gain( Kp
), integral gain( Ki
) and derivative gain( Kd
) also sets the state variables to all zeros.
Initialization function for the Q15 PID Control.
- Parameters
-
[in,out] | *S | points to an instance of the Q15 PID structure. |
[in] | resetStateFlag | flag to reset the state. 0 = no change in state 1 = reset the state. |
- Returns
- none.
- Description:
- The
resetStateFlag
specifies whether to set state to zero or not.
The function computes the structure fields: A0
, A1
A2
using the proportional gain( Kp
), integral gain( Ki
) and derivative gain( Kd
) also sets the state variables to all zeros.
Initialization function for the Q31 PID Control.
- Parameters
-
[in,out] | *S | points to an instance of the Q31 PID structure. |
[in] | resetStateFlag | flag to reset the state. 0 = no change in state 1 = reset the state. |
- Returns
- none.
- Description:
- The
resetStateFlag
specifies whether to set state to zero or not.
The function computes the structure fields: A0
, A1
A2
using the proportional gain( Kp
), integral gain( Ki
) and derivative gain( Kd
) also sets the state variables to all zeros.
Reset function for the floating-point PID Control.
- Parameters
-
[in] | *S | Instance pointer of PID control data structure. |
- Returns
- none.
- Description:
- The function resets the state buffer to zeros.
Reset function for the Q15 PID Control.
- Parameters
-
[in] | *S | Instance pointer of PID control data structure. |
- Returns
- none.
- Description:
- The function resets the state buffer to zeros.
Reset function for the Q31 PID Control.
- Parameters
-
[in] | *S | Instance pointer of PID control data structure. |
- Returns
- none.
- Description:
- The function resets the state buffer to zeros.