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AC_PID: add AC_PID_2D

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Leonard Hall 7 years ago committed by Randy Mackay
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fd964a21d6
  1. 256
      libraries/AC_PID/AC_PID_2D.cpp
  2. 112
      libraries/AC_PID/AC_PID_2D.h

256
libraries/AC_PID/AC_PID_2D.cpp

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/// @file AC_PID_2D.cpp
/// @brief Generic PID algorithm
#include <AP_Math/AP_Math.h>
#include "AC_PID_2D.h"
const AP_Param::GroupInfo AC_PID_2D::var_info[] = {
// @Param: P
// @DisplayName: PID Proportional Gain
// @Description: P Gain which produces an output value that is proportional to the current error value
AP_GROUPINFO("P", 0, AC_PID_2D, _kp, 0),
// @Param: I
// @DisplayName: PID Integral Gain
// @Description: I Gain which produces an output that is proportional to both the magnitude and the duration of the error
AP_GROUPINFO("I", 1, AC_PID_2D, _ki, 0),
// @Param: IMAX
// @DisplayName: PID Integral Maximum
// @Description: The maximum/minimum value that the I term can output
AP_GROUPINFO("IMAX", 2, AC_PID_2D, _imax, 0),
// @Param: FILT
// @DisplayName: PID Input filter frequency in Hz
// @Description: Input filter frequency in Hz
// @Units: Hz
AP_GROUPINFO("FILT", 3, AC_PID_2D, _filt_hz, AC_PID_2D_FILT_HZ_DEFAULT),
// @Param: D
// @DisplayName: PID Derivative Gain
// @Description: D Gain which produces an output that is proportional to the rate of change of the error
AP_GROUPINFO("D", 4, AC_PID_2D, _kd, 0),
// @Param: D_FILT
// @DisplayName: D term filter frequency in Hz
// @Description: D term filter frequency in Hz
// @Units: Hz
AP_GROUPINFO("D_FILT", 5, AC_PID_2D, _filt_d_hz, AC_PID_2D_FILT_D_HZ_DEFAULT),
AP_GROUPEND
};
// Constructor
AC_PID_2D::AC_PID_2D(float initial_p, float initial_i, float initial_d, float initial_imax, float initial_filt_hz, float initial_filt_d_hz, float dt) :
_dt(dt)
{
// load parameter values from eeprom
AP_Param::setup_object_defaults(this, var_info);
_kp = initial_p;
_ki = initial_i;
_kd = initial_d;
_imax = fabsf(initial_imax);
filt_hz(initial_filt_hz);
filt_d_hz(initial_filt_d_hz);
// reset input filter to first value received
_flags._reset_filter = true;
}
// set_dt - set time step in seconds
void AC_PID_2D::set_dt(float dt)
{
// set dt and calculate the input filter alpha
_dt = dt;
calc_filt_alpha();
calc_filt_alpha_d();
}
// filt_hz - set input filter hz
void AC_PID_2D::filt_hz(float hz)
{
_filt_hz.set(fabsf(hz));
// sanity check _filt_hz
_filt_hz = MAX(_filt_hz, AC_PID_2D_FILT_HZ_MIN);
// calculate the input filter alpha
calc_filt_alpha();
}
// filt_d_hz - set input filter hz
void AC_PID_2D::filt_d_hz(float hz)
{
_filt_d_hz.set(fabsf(hz));
// sanity check _filt_hz
_filt_d_hz = MAX(_filt_d_hz, AC_PID_2D_FILT_D_HZ_MIN);
// calculate the input filter alpha
calc_filt_alpha_d();
}
// set_input - set input to PID controller
// input is filtered before the PID controllers are run
// this should be called before any other calls to get_p, get_i or get_d
void AC_PID_2D::set_input(const Vector2f &input)
{
// don't process inf or NaN
if (!isfinite(input.x) || !isfinite(input.y)) {
return;
}
// reset input filter to value received
if (_flags._reset_filter) {
_flags._reset_filter = false;
_input = input;
}
// update filter and calculate derivative
const Vector2f input_delta = (input - _input) * _filt_alpha;
_input = _input + input_delta;
set_input_filter_d(input_delta);
}
// set_input_filter_d - set input to PID controller
// only input to the D portion of the controller is filtered
// this should be called before any other calls to get_p, get_i or get_d
void AC_PID_2D::set_input_filter_d(Vector2f input_delta)
{
// don't process inf or NaN
if (!isfinite(input_delta.x) && !isfinite(input_delta.y)) {
return;
}
// reset input filter to value received
if (_flags._reset_filter) {
_flags._reset_filter = false;
_derivative.x = 0.0f;
_derivative.y = 0.0f;
}
// update filter and calculate derivative
if (is_positive(_dt)) {
Vector2f derivative = input_delta / _dt;
Vector2f delta_derivative = (derivative - _derivative) * _filt_alpha_d;
_derivative += delta_derivative;
}
}
Vector2f AC_PID_2D::get_p() const
{
return (_input * _kp);
}
Vector2f AC_PID_2D::get_i()
{
if (!is_zero(_ki) && !is_zero(_dt)) {
_integrator += (_input * _ki) * _dt;
const float integrator_length = _integrator.length();
if ((integrator_length > _imax) && is_positive(integrator_length)) {
_integrator *= (_imax / integrator_length);
}
return _integrator;
}
return Vector2f();
}
// get_i_shrink - get_i but do not allow integrator to grow in length (it may shrink)
Vector2f AC_PID_2D::get_i_shrink()
{
if (!is_zero(_ki) && !is_zero(_dt)) {
const float integrator_length_orig = MIN(_integrator.length(), _imax);
_integrator += (_input * _ki) * _dt;
const float integrator_length_new = _integrator.length();
if ((integrator_length_new > integrator_length_orig) && is_positive(integrator_length_new)) {
_integrator *= (integrator_length_orig / integrator_length_new);
}
return _integrator;
}
return Vector2f();
}
Vector2f AC_PID_2D::get_d()
{
// derivative component
return Vector2f(_kd * _derivative.x, _kd * _derivative.y);
}
Vector2f AC_PID_2D::get_pid()
{
return get_p() + get_i() + get_d();
}
void AC_PID_2D::reset_I()
{
_integrator.zero();
}
void AC_PID_2D::load_gains()
{
_kp.load();
_ki.load();
_kd.load();
_imax.load();
_imax = fabsf(_imax);
_filt_hz.load();
_filt_d_hz.load();
// calculate the input filter alpha
calc_filt_alpha();
calc_filt_alpha_d();
}
// save_gains - save gains to eeprom
void AC_PID_2D::save_gains()
{
_kp.save();
_ki.save();
_kd.save();
_imax.save();
_filt_hz.save();
_filt_d_hz.save();
}
/// Overload the function call operator to permit easy initialisation
void AC_PID_2D::operator() (float p, float i, float imaxval, float input_filt_hz, float input_filt_d_hz, float dt)
{
_kp = p;
_ki = i;
_kd = i;
_imax = fabsf(imaxval);
_filt_hz = input_filt_hz;
_filt_d_hz = input_filt_d_hz;
_dt = dt;
// calculate the input filter alpha
calc_filt_alpha();
calc_filt_alpha_d();
}
// calc_filt_alpha - recalculate the input filter alpha
void AC_PID_2D::calc_filt_alpha()
{
if (is_zero(_filt_hz)) {
_filt_alpha = 1.0f;
return;
}
// calculate alpha
const float rc = 1/(M_2PI*_filt_hz);
_filt_alpha = _dt / (_dt + rc);
}
// calc_filt_alpha - recalculate the input filter alpha
void AC_PID_2D::calc_filt_alpha_d()
{
if (is_zero(_filt_d_hz)) {
_filt_alpha_d = 1.0f;
return;
}
// calculate alpha
const float rc = 1/(M_2PI*_filt_d_hz);
_filt_alpha_d = _dt / (_dt + rc);
}

112
libraries/AC_PID/AC_PID_2D.h

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#pragma once
/// @file AC_PID_2D.h
/// @brief Generic PID algorithm, with EEPROM-backed storage of constants.
#include <AP_Common/AP_Common.h>
#include <AP_Param/AP_Param.h>
#include <stdlib.h>
#include <cmath>
#define AC_PID_2D_FILT_HZ_DEFAULT 20.0f // default input filter frequency
#define AC_PID_2D_FILT_HZ_MIN 0.01f // minimum input filter frequency
#define AC_PID_2D_FILT_D_HZ_DEFAULT 10.0f // default input filter frequency
#define AC_PID_2D_FILT_D_HZ_MIN 0.005f // minimum input filter frequency
/// @class AC_PID_2D
/// @brief Copter PID control class
class AC_PID_2D {
public:
// Constructor for PID
AC_PID_2D(float initial_p, float initial_i, float initial_d, float initial_imax, float initial_filt_hz, float initial_filt_d_hz, float dt);
// set_dt - set time step in seconds
void set_dt(float dt);
// set_input - set input to PID controller
// input is filtered before the PID controllers are run
// this should be called before any other calls to get_p, get_i or get_d
void set_input(const Vector2f &input);
void set_input(const Vector3f &input) { set_input(Vector2f(input.x, input.y)); }
// get_pi - get results from pid controller
Vector2f get_pid();
Vector2f get_p() const;
Vector2f get_i();
Vector2f get_i_shrink(); // get_i but do not allow integrator to grow (it may shrink)
Vector2f get_d();
// reset_I - reset the integrator
void reset_I();
// reset_filter - input and D term filter will be reset to the next value provided to set_input()
void reset_filter();
// load gain from eeprom
void load_gains();
// save gain to eeprom
void save_gains();
/// operator function call for easy initialisation
void operator() (float p, float i, float imaxval, float input_filt_hz, float input_filt_D_hz, float dt);
// get accessors
AP_Float &kP() { return _kp; }
AP_Float &kI() { return _ki; }
float imax() const { return _imax.get(); }
float filt_hz() const { return _filt_hz.get(); }
float get_filt_alpha() const { return _filt_alpha; }
float filt_d_hz() const { return _filt_hz.get(); }
float get_filt_alpha_D() const { return _filt_alpha_d; }
// set accessors
void kP(const float v) { _kp.set(v); }
void kI(const float v) { _ki.set(v); }
void kD(const float v) { _kd.set(v); }
void imax(const float v) { _imax.set(fabsf(v)); }
void filt_hz(const float v);
void filt_d_hz(const float v);
Vector2f get_integrator() const { return _integrator; }
void set_integrator(const Vector2f &i) { _integrator = i; }
void set_integrator(const Vector3f &i) { _integrator.x = i.x; _integrator.y = i.y; }
// parameter var table
static const struct AP_Param::GroupInfo var_info[];
protected:
// set_input_filter_d - set input to PID controller
// only input to the D portion of the controller is filtered
// this should be called before any other calls to get_p, get_i or get_d
void set_input_filter_d(Vector2f input_delta);
// calc_filt_alpha - recalculate the input filter alpha
void calc_filt_alpha();
// calc_filt_alpha - recalculate the input filter alpha
void calc_filt_alpha_d();
// parameters
AP_Float _kp;
AP_Float _ki;
AP_Float _kd;
AP_Float _imax;
AP_Float _filt_hz; // PID Input filter frequency in Hz
AP_Float _filt_d_hz; // D term filter frequency in Hz
// flags
struct ac_pid_flags {
bool _reset_filter : 1; // true when input filter should be reset during next call to set_input
} _flags;
// internal variables
float _dt; // timestep in seconds
float _filt_alpha; // input filter alpha
float _filt_alpha_d; // input filter alpha
Vector2f _integrator; // integrator value
Vector2f _input; // last input for derivative
Vector2f _derivative; // last derivative for low-pass filter
};
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