using System;
using MultiWheelC.Control.Abstractions;
namespace MultiWheelC.Control.Lateral
{
///
/// 将参考曲率、横向误差和航向误差分别转换为前、后GCP目标转角。
///
public sealed class StanleyLateralController : ILateralController
{
///
/// 创建使用指定GCP几何、Stanley增益和转角保护参数的横向控制器。
///
public StanleyLateralController(
double controlPointRadiusMeters,
double crossTrackGainPerSecond,
double headingErrorGain,
double minimumSpeedMetersPerSecond,
bool useActualSpeedForGain = true,
double maximumCrossTrackCorrectionRadians =
10.0 * Math.PI / 180.0,
double maximumHeadingCorrectionRadians =
10.0 * Math.PI / 180.0)
{
EnsureFinitePositive(
controlPointRadiusMeters,
nameof(controlPointRadiusMeters));
EnsureFiniteNonNegative(
crossTrackGainPerSecond,
nameof(crossTrackGainPerSecond));
EnsureFiniteNonNegative(
headingErrorGain,
nameof(headingErrorGain));
EnsureFinitePositive(
minimumSpeedMetersPerSecond,
nameof(minimumSpeedMetersPerSecond));
EnsureFinitePositive(
maximumCrossTrackCorrectionRadians,
nameof(maximumCrossTrackCorrectionRadians));
EnsureFinitePositive(
maximumHeadingCorrectionRadians,
nameof(maximumHeadingCorrectionRadians));
ControlPointRadiusMeters = controlPointRadiusMeters;
CrossTrackGainPerSecond = crossTrackGainPerSecond;
HeadingErrorGain = headingErrorGain;
MinimumSpeedMetersPerSecond = minimumSpeedMetersPerSecond;
UseActualSpeedForGain = useActualSpeedForGain;
MaximumCrossTrackCorrectionRadians =
maximumCrossTrackCorrectionRadians;
MaximumHeadingCorrectionRadians =
maximumHeadingCorrectionRadians;
}
///
/// 获取车体中心到前、后GCP的距离,单位为m。
///
public double ControlPointRadiusMeters { get; }
///
/// 获取横向误差增益,单位为1/s。
///
public double CrossTrackGainPerSecond { get; }
///
/// 获取航向误差的无量纲增益。
///
public double HeadingErrorGain { get; }
///
/// 获取Stanley分母使用的最小速度绝对值,单位为m/s。
///
public double MinimumSpeedMetersPerSecond { get; }
///
/// 获取是否优先使用当前状态源提供的实际纵向速度计算横向修正。
///
public bool UseActualSpeedForGain { get; }
///
/// 获取横向误差共同转角分量的最大绝对值,单位为rad。
///
public double MaximumCrossTrackCorrectionRadians { get; }
///
/// 获取航向误差差动转角分量的最大绝对值,单位为rad。
///
public double MaximumHeadingCorrectionRadians { get; }
///
/// 分别计算横向共同转角以及曲率和航向差动转角,并生成前后GCP命令。
///
public LateralControlCommand Compute(
PathTrackingContext context)
{
var speedForGain = SelectSpeedForGain(context);
var speedMagnitude = Math.Max(
Math.Abs(speedForGain),
MinimumSpeedMetersPerSecond);
var travelDirection = SelectTravelDirection(context);
// 参考曲率按轨迹点序的实际行进方向定义;倒车时底盘有符号
// 纵向速度反向,因此GCP曲率前馈也必须反向才能保持相同几何曲率。
var feedforwardAngleRadians =
travelDirection *
Math.Atan(
context.FeedforwardCurvaturePerMeter *
ControlPointRadiusMeters);
// 横向误差生成前后同向的共同转角,使四舵轮车辆平稳靠近轨迹。
var crossTrackCorrectionRadians =
ClampSymmetric(
Math.Atan(
CrossTrackGainPerSecond *
context.LateralErrorMeters /
speedMagnitude),
MaximumCrossTrackCorrectionRadians);
// 航向误差生成前后反向的差动转角,只负责调整车身朝向。
var headingCorrectionRadians =
ClampSymmetric(
HeadingErrorGain *
context.HeadingErrorRadians,
MaximumHeadingCorrectionRadians);
var commonAngleRadians =
travelDirection *
crossTrackCorrectionRadians;
var differentialAngleRadians =
feedforwardAngleRadians +
travelDirection *
headingCorrectionRadians;
return new LateralControlCommand(
commonAngleRadians +
differentialAngleRadians,
commonAngleRadians -
differentialAngleRadians);
}
///
/// 清除横向控制器状态;当前Stanley实现没有跨周期状态。
///
public void Reset()
{
}
///
/// 选择Stanley横向误差项使用的实际速度或参考速度。
///
private double SelectSpeedForGain(
PathTrackingContext context)
{
if (UseActualSpeedForGain &&
context.HasValidVelocityEstimate)
{
return context
.ActualLongitudinalSpeedMetersPerSecond;
}
return context.ControlReferenceSpeedMetersPerSecond;
}
///
/// 根据有符号参考速度确定前进或倒车时的反馈修正方向。
///
private static double SelectTravelDirection(
PathTrackingContext context)
{
const double directionDeadbandMetersPerSecond = 1e-6;
if (Math.Abs(context.ControlReferenceSpeedMetersPerSecond) >
directionDeadbandMetersPerSecond)
{
return Math.Sign(
context.ControlReferenceSpeedMetersPerSecond);
}
if (context.HasValidVelocityEstimate &&
Math.Abs(
context.ActualLongitudinalSpeedMetersPerSecond) >
directionDeadbandMetersPerSecond)
{
return Math.Sign(
context.ActualLongitudinalSpeedMetersPerSecond);
}
return 1.0;
}
///
/// 将数值按正负对称方式限制在指定绝对值内。
///
private static double ClampSymmetric(
double value,
double maximumAbsoluteValue)
{
return Math.Max(
-maximumAbsoluteValue,
Math.Min(maximumAbsoluteValue, value));
}
///
/// 检查控制参数是否为正有限值。
///
private static void EnsureFinitePositive(
double value,
string parameterName)
{
EnsureFinite(value, parameterName);
if (value <= 0.0)
{
throw new ArgumentOutOfRangeException(
parameterName,
"Stanley控制器的几何尺寸、速度和角度限制必须是正有限值。");
}
}
///
/// 检查控制增益是否为非负有限值。
///
private static void EnsureFiniteNonNegative(
double value,
string parameterName)
{
EnsureFinite(value, parameterName);
if (value < 0.0)
{
throw new ArgumentOutOfRangeException(
parameterName,
"Stanley控制增益必须是非负有限值。");
}
}
///
/// 检查控制参数是否为有限值。
///
private static void EnsureFinite(
double value,
string parameterName)
{
if (double.IsNaN(value) ||
double.IsInfinity(value))
{
throw new ArgumentOutOfRangeException(
parameterName,
"Stanley控制参数必须是有限值。");
}
}
}
}