/* author: Louis Hugues - created on 27 janv. 2005 */ package org.myrobotlab.mapper.sim; import java.text.DecimalFormat; import javax.media.j3d.Transform3D; import javax.vecmath.Point3d; import javax.vecmath.Vector3d; /** * This class models the differential drive kinematic common. The two control * parameters are left and right velocity. */ public class DifferentialKinematic extends KinematicModel { private Transform3D t3d; private double leftWheelVelocity; private double rightWheelVelocity; private double wheelsDistance; private Point3d tempPoint; public DifferentialKinematic(double wheelsDistance) { this.wheelsDistance = wheelsDistance; tempPoint = new Point3d(); t3d = new Transform3D(); reset(); } /** Gets the velocity of the left wheel in meter/s. */ public double getLeftVelocity() { return leftWheelVelocity; } /** Gets the velocity of the right wheel in meter/s. */ public double getRightVelocity() { return rightWheelVelocity; } /** Resets all control parameters to their initial values. */ @Override protected void reset() { leftWheelVelocity = 0; rightWheelVelocity = 0; } /** Sets the velocity of the left wheel in meter/s. */ public void setLeftVelocity(double vel) { leftWheelVelocity = vel; } /** Sets the velocity of the right wheel in meter/s. */ public void setRightVelocity(double vel) { rightWheelVelocity = vel; } /** Sets the velocity of both wheels in meter/s. */ public void setWheelsVelocity(double vl, double vr) { leftWheelVelocity = vl; rightWheelVelocity = vr; } /** Resets all control parameters to their initial values. */ @Override protected String toString(DecimalFormat format) { return "kinematic \t= DifferentialKinematic\n" + "left velocity \t= " + format.format(leftWheelVelocity) + " m/s\n" + "right velocity \t= " + format.format(rightWheelVelocity) + " m/s\n"; } /** * Compute instant translation and rotation vectors . * * @param elapsedSecond * time elapsed * @param rotation * current rotation * @param instantTranslation * to store translation * @param instantRotation * to store rotation */ @Override protected void update(double elapsedSecond, Transform3D rotation, Vector3d instantTranslation, Vector3d instantRotation) { // perform translation - according to current position and orientation // For details see : // Computational Principles of Mobile Robotic - Dudek & Jenkins - // Cambridge University Press - Differential drive chapter. double epsilon = 0.001; double vl = leftWheelVelocity; double vr = rightWheelVelocity; // distance between the two wheels. double l = wheelsDistance; double r, omega; double dtheta; // forward kinematic : find position knowing the velocity of the two // wheels. if (Math.abs(vl - vr) < epsilon) { dtheta = 0; instantTranslation.set(vl * elapsedSecond, 0, 0); rotation.transform(instantTranslation); } else { // compute position (r,omega) of instantaneous center of curvature // (ICC) r = l * (vl + vr) / (2 * (vr - vl)); omega = (vr - vl) / l; double omegadt = omega * elapsedSecond; // move in XZ plane // rotate position around the ICC of omega x dt radians instantTranslation.set(0, 0, r); t3d.setIdentity(); t3d.rotY(omegadt); t3d.transform(instantTranslation); // back to origin tempPoint.set(0, 0, r); instantTranslation.sub(tempPoint); // take into account current robot orientation rotation.transform(instantTranslation); dtheta = omegadt; } // perform rotation - instantRotation.set(0, dtheta, 0); } }