AdaptivePIDController

class cubie.integrators.AdaptivePIDController(precision: type[float16] | type[float32] | type[float64] | dtype[float16] | dtype[float32] | dtype[float64], n: int = 1, **kwargs)[source]

Bases: BaseAdaptiveStepController

Adaptive PID step size controller.

__init__(precision: type[float16] | type[float32] | type[float64] | dtype[float16] | dtype[float32] | dtype[float64], n: int = 1, **kwargs) None[source]

Initialise a proportional–integral–derivative controller.

Parameters:
  • precision – Precision used for controller calculations.

  • n – Number of state variables.

  • **kwargs – Optional parameters passed to PIDStepControlConfig. See PIDStepControlConfig for available parameters including dt_min, dt_max, atol, rtol, algorithm_order, kp, ki, kd, min_gain, max_gain, deadband_min, deadband_max. None values are ignored.

build_controller(precision: type[float16] | type[float32] | type[float64] | dtype[float16] | dtype[float32] | dtype[float64], clamp: Callable, min_gain: float, max_gain: float, dt_min: float, dt_max: float, n: int, atol: ndarray, rtol: ndarray, algorithm_order: int, safety: float) ControllerCache[source]

Create the device function for the PID controller.

Parameters:
  • precision – Precision callable used to coerce scalars on device.

  • clamp – Callable that clamps proposed step sizes.

  • min_gain – Minimum allowed gain when adapting the step size.

  • max_gain – Maximum allowed gain when adapting the step size.

  • dt_min – Minimum permissible step size.

  • dt_max – Maximum permissible step size.

  • n – Number of state variables controlled per step.

  • atol – Absolute tolerance vector.

  • rtol – Relative tolerance vector.

  • algorithm_order – Order of the integration algorithm.

  • safety – Safety factor used when scaling the step size.

Returns:

CUDA device function implementing the PID controller.

Return type:

Callable

property deadband_max: float

Return the upper gain threshold for the unity deadband.

property deadband_min: float

Return the lower gain threshold for the unity deadband.

property kd: float

Return the derivative gain.

property ki: float

Return the integral gain.

property kp: float

Return the proportional gain.

property local_memory_elements: int

Return the number of local memory slots required.

property settings_dict: dict[str, object]

Return the configuration as a dictionary.