From 7f40dc6b2dccec209a4325b8943aa6d88097ca92 Mon Sep 17 00:00:00 2001 From: William Bryk Date: Fri, 25 Aug 2017 01:44:09 -0400 Subject: [PATCH] 3D Atrias Simplified Model --- .../WillsCassieModel/3DURDF_Centroid.urdf | 298 ++++++++++++++++++ .../Cassie/WillsCassieModel/matlab.mat | Bin 0 -> 346273 bytes .../WillsCassieModel/runTestCassieControl3D.m | 148 +++++++++ .../WillsCassieModel/testCassieControl3D.m | 251 +++++++++++++++ 4 files changed, 697 insertions(+) create mode 100644 drake/examples/Cassie/WillsCassieModel/3DURDF_Centroid.urdf create mode 100644 drake/examples/Cassie/WillsCassieModel/matlab.mat create mode 100644 drake/examples/Cassie/WillsCassieModel/runTestCassieControl3D.m create mode 100644 drake/examples/Cassie/WillsCassieModel/testCassieControl3D.m diff --git a/drake/examples/Cassie/WillsCassieModel/3DURDF_Centroid.urdf b/drake/examples/Cassie/WillsCassieModel/3DURDF_Centroid.urdf new file mode 100644 index 000000000000..79c2a4c14ed5 --- /dev/null +++ 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z8G)DyN`n9=5DPHC!2u}kzy~6r`YAQXf`B= 0) * (l0)), ((sin(w*t) > 0) * (l0 - l_ret * sin(w*t)) + (sin(w*t) <= 0) * (l0))]; +ftraj = FunctionHandleTrajectory([fun_legs],2,[0 sim_duration]); + + +% get points in trajectory +ts = traj.getBreaks(); +xs = traj.eval(ts); +fs = eval(ftraj,ts); + + +qs = xs(1:14, :); + +w = @(x) r.contactConstraints(r.doKinematics(x)); + +[rows, columns] = size(qs); +for col = 1 : columns + thisColumn = qs(:, col); + e = w(thisColumn); + constraintDistance(:,col) = e; +end + + + +figure(1); +subplot(3,1,1); +plot(ts,fs(1,:),ts,xs(s('ankle_left'),:)); +subplot(3,1,2); +plot(ts,fs(2,:),ts,xs(s('ankle_right'),:)); +subplot(3,1,3); +plot(ts,xs(s('ankle_left'),:),ts,xs(s('ankle_right'),:)); +%plot(ts,constraintDistance(3,:),ts,constraintDistance(4,:)); + + +figure(2); +subplot(3,1,1); +plot(ts, xs(s('base_xdot'),:)) +subplot(3,1,2); +plot(ts, xs(s('shoulder_left2'),:)) +subplot(3,1,3); +plot(ts, xs(s('shoulder_right2'),:)) + + +figure(3); +subplot(3,1,1); +plot(ts, xs(s('base_ydot'),:)) +subplot(3,1,2); +plot(ts, xs(s('shoulder_left'),:)) +subplot(3,1,3); +plot(ts, xs(s('shoulder_right'),:)) + +figure(4); +plot(ts, xs((s('base_ydot')^2 + s('base_ydot')^2)^.5,:)) + + +%assignin('base', 'traj', traj); + +%} + + + + diff --git a/drake/examples/Cassie/WillsCassieModel/testCassieControl3D.m b/drake/examples/Cassie/WillsCassieModel/testCassieControl3D.m new file mode 100644 index 000000000000..9f1894fbb635 --- /dev/null +++ b/drake/examples/Cassie/WillsCassieModel/testCassieControl3D.m @@ -0,0 +1,251 @@ +classdef testCassieControl3D < DrakeSystem + + properties + p; + s; + end + + methods + function obj = testCassieControl3D(plant) + % choose the first for planar and the second for 3D drake visualizer + %obj = obj@DrakeSystem(0,0,18,4,true,true); + obj = obj@DrakeSystem(0,0,28,6,true,true); + + obj.p = plant; + disp(plant.getStateFrame); + obj.s = containers.Map({'base_x', + 'base_y', + 'base_z', + 'base_roll', + 'base_pitch', + 'base_yaw', + 'shoulder_left', + 'shoulder_left2', + 'shoulder_right', + 'shoulder_right2', + 'ankle_left', + 'ankle_right', + 'left_foot_to_toe', + 'right_foot_to_toe', + 'base_xdot', + 'base_ydot', + 'base_zdot', + 'base_rolldot', + 'base_pitchdot', + 'base_yawdot', + 'shoulder_leftdot', + 'shoulder_left2dot', + 'shoulder_rightdot', + 'shoulder_right2dot', + 'ankle_leftdot', + 'ankle_rightdot', + 'left_foot_to_toedot', + 'right_foot_to_toedot'}, [1:28]); + obj = obj.setInputFrame(plant.getStateFrame); + obj = obj.setOutputFrame(plant.getInputFrame); + end + + + function u = output(obj,t,junk,x) + + % pd control on legs + [l_disp, l_vel, r_disp,r_vel] = legs(t); + + % first option is for planar + if 0 + r_disp_err = -x(10) + r_disp; r_vel_err = -x(24) + r_vel; + l_disp_err = -x(9) + l_disp; l_vel_err = -x(23) + l_vel; + shoulder_info = [x(4); x(5); x(18); x(19)]; + head_angle = x(3); + else + r_disp_err = -x(obj.s('ankle_right')) + r_disp; r_vel_err = -x(obj.s('ankle_rightdot')) + r_vel; + l_disp_err = -x(obj.s('ankle_left')) + l_disp; l_vel_err = -x(obj.s('ankle_leftdot')) + l_vel; + shoulder_info = [x(obj.s('shoulder_left2')); x(obj.s('shoulder_right2')); x(obj.s('shoulder_left2dot')); x(obj.s('shoulder_right2dot')); x(obj.s('shoulder_left')); x(obj.s('shoulder_right')); x(obj.s('shoulder_leftdot')); x(obj.s('shoulder_rightdot')) ]; + head_pitch = x(obj.s('base_pitch')); + head_roll = x(obj.s('base_roll')); + head_yaw = x(obj.s('base_yaw')); + lat_vel = x(obj.s('base_xdot')); + forward_vel = x(obj.s('base_ydot')); + head_height = x(obj.s('base_z')); + head_rolldot = x(obj.s('base_rolldot')); + head_pitchdot = x(obj.s('base_pitchdot')); + head_yawdot = x(obj.s('base_yawdot')); + + end + + % found good pd constants on the force that changes leg-length + r_leg_force = 30000 * r_disp_err + 100 * r_vel_err; + l_leg_force = 30000 *l_disp_err + 100 * l_vel_err; + + + % Here is a function of the desired lateral and forward velocities as + % a function of time. Create whatever function you'd like. + if t <1 + LATERAL_VEL_GOAL = 0.0; + FORWARD_VEL_GOAL = 0.0; + elseif t < 20 + LATERAL_VEL_GOAL = 1.5 * t/20; + FORWARD_VEL_GOAL = 1.5 * t/20; + % this should make it change direction if t >= 20 + else + LATERAL_VEL_GOAL = .5; + FORWARD_VEL_GOAL = -.5 * 2*(t - 10)/10; + end + + % this has to do with the control behind Atrias + % to move forward at x speed, the control acts as if its trying to + % cancel out -x speed + lat_vel = lat_vel - LATERAL_VEL_GOAL; + forward_vel = forward_vel - FORWARD_VEL_GOAL; + + % this just finds the joint angles for a given velocity that its + % trying to cancel. The zero angles are the joint angles to get the arm + % to be perpendicular to the ground + [angle_for_forward_vel, angle_for_lat] = getArmAngles(head_height, lat_vel, forward_vel, head_pitch, head_roll, head_yaw, t); + [zero_forward_angle, zero_lat_angle] = getArmAngles(head_height, 0, 0, head_pitch, head_roll, head_yaw, t); + + + contactConstraints = obj.p.contactConstraints(obj.p.doKinematics(x(1:14))); + + leftContact = contactConstraints(3); + rightContact = contactConstraints(4); + %right_contact = r.contactConstraints(r.doKinematics(x(1:14)); + + % tell leg to go to goal angle (relative to the world) or go to zero + % angle (relative to the world) + [stanceLeg,ratio] = percentIntoStance(t); + if (leftContact < 0.01) + %disp(stanceLeg,ratio); + l_lat_ang_goal = -zero_lat_angle; + l_walk_ang_goal = zero_forward_angle; + r_lat_ang_goal = -angle_for_lat; + r_walk_ang_goal = angle_for_forward_vel; + + else + r_lat_ang_goal = -zero_lat_angle; + r_walk_ang_goal = zero_forward_angle; + l_lat_ang_goal = -angle_for_lat; + l_walk_ang_goal = angle_for_forward_vel; + end + + + angle_goals = [l_lat_ang_goal; r_lat_ang_goal; l_walk_ang_goal; r_walk_ang_goal]; + + % get torques for two joints on each leg using desired angle and + % current leg state + [l_should_torque, r_should_torque, l_walk_torque, r_walk_torque] = getPDAngleTorques(angle_goals, shoulder_info); + + % choose swing leg based on which foot is off ground + if ((leftContact < 0.01) && (rightContact > 0.01)) + u = [l_leg_force; r_leg_force; 200*head_roll + 100*head_rolldot; r_walk_torque; 200*head_pitch + 100*head_pitchdot; r_should_torque]; + elseif ((rightContact < 0.01) && (leftContact > 0.01)) + u = [l_leg_force; r_leg_force; l_walk_torque ; 200*head_roll + 100*head_rolldot; l_should_torque ; 200*head_pitch + 100*head_pitchdot]; + % else if both feet are on the ground + elseif ((rightContact < 0.01) && (leftContact < 0.01)) + u = [l_leg_force; r_leg_force; 0;0;0;0]; + % else they're both in the air + else + u = [l_leg_force; r_leg_force; l_walk_torque ; r_walk_torque; l_should_torque ; r_should_torque]; + end + + end + end + +end + +% returns desired positions and velocities of legs according to Atrias +% spring mass model +function [l_displacement, l_vel, r_displacement,r_vel] = legs(t) + l_ret = -.15; + l0 = 0; + w = 2*pi/.7; + + l_displacement = (sin(w*t) < 0) * (l0 + l_ret * sin(w*t)) + (sin(w*t) >= 0) * (l0); + l_vel = (sin(w*t) < 0) * (l_ret * w * cos(w*t)) + 0; + + r_displacement = (sin(w*t) > 0) * (l0 - l_ret * sin(w*t)) + (sin(w*t) <= 0) * (l0); + r_vel = (sin(w*t) > 0) * (-l_ret* w * cos(w*t)) + 0; +end + +function [l_should_torque, r_should_torque, l_walk_torque, r_walk_torque] = getPDAngleTorques(angle_goals, shoulder_info) + l_should_torque = 100 * (angle_goals(1) - shoulder_info(1)) - 8.0 * shoulder_info(3); + r_should_torque = 100 * (angle_goals(2) - shoulder_info(2)) - 8.0 * shoulder_info(4); + + l_walk_torque = 100 * (angle_goals(3) - shoulder_info(5)) - 8.0 * shoulder_info(7); + r_walk_torque = 100 * (angle_goals(4) - shoulder_info(6)) - 8.0 * shoulder_info(8); + +end + +function [stanceLeg,ratio] = percentIntoStance(t) + w = 2*pi/.7; + if (sin(w*t) >= 0) + stanceLeg = 'l'; + else + stanceLeg = 'r'; + end + ratio = (w*t/pi) - floor(w*t/pi); +end + +% calculates the two joint angles to put arm/leg at desired velocity +% this function breaks down when pitch is pi/2, but hopefully the robot +% should never be at pi/2 (unless it is doing flips -- we're not there +% yet!) +function [cyl_angle, reach_angle] = getArmAngles(h, xdot, ydot, head_pitch, head_roll, head_yaw, t) + + v = sqrt(xdot^2 + ydot^2); + + beta = .25 * v; + xgoal = h * tan(beta) * (xdot/v); + ygoal = h * tan(beta) * (ydot/v); + + if isnan(xgoal) + xgoal = 0.0; + end + if isnan(ygoal) + ygoal = 0.0; + end + + goal_vector = [xgoal ygoal -h]; + + pitch_plane_n = [-cos(head_pitch)*cos(head_yaw) -cos(head_pitch)*sin(head_yaw) sin(head_pitch)]; + roll_plane_n = [-cos(head_roll)*sin(head_yaw) cos(head_roll)*cos(head_yaw) sin(head_roll)]; + + pitch_plane_n = -pitch_plane_n; + + g_dot_pitchplane_n = dot(goal_vector, pitch_plane_n); + + pitch_plane_norm = norm(pitch_plane_n); + + answer = asin(g_dot_pitchplane_n/(norm(goal_vector)*pitch_plane_norm)); + + + if isnan(answer) + answer = 0; + end + + reach_angle = answer; + + projected_goal = goal_vector - (g_dot_pitchplane_n/(pitch_plane_norm^2)) * pitch_plane_n; + + projected_minus_z = [0.0 0.0 -1.0] - (dot([0.0 0.0 -1.0], pitch_plane_n)/(pitch_plane_norm^2)) * pitch_plane_n; + + x = dot(projected_goal,projected_minus_z); + y = norm(projected_goal)*norm(projected_minus_z); + + w = x/y; + if (w >= 1) || (x == y) + velocity_angle = 0.0; + else + velocity_angle = acos(x/y); + end + + + if isnan(velocity_angle) + velocity_angle = 0.0; + end + + + cyl_angle = -head_roll + (velocity_angle * sign(ydot)); + + +end