diff --git a/stewart_init.m b/stewart_init.m index e61821e..5f4a2a2 100644 --- a/stewart_init.m +++ b/stewart_init.m @@ -6,21 +6,24 @@ clc; %% run stewart_parameters.m -%% +%% Define some constant values deg2rad = pi/180; x_axis = [1 0 0]; y_axis = [0 1 0]; z_axis = [0 0 1]; -% Connection points on base and top plate w.r.t. World frame at the center -% of the base plate -pos_base = []; -pos_top = []; +%% Connection points on base and top plate w.r.t. World frame at the center of the base plate +pos_base = zeros(6, 3); +pos_top = zeros(6, 3); + alpha_b = BP.leg.ang*deg2rad; % angle de décalage par rapport à 120 deg (pour positionner les supports bases) alpha_t = TP.leg.ang*deg2rad; % +- offset angle from 120 degree spacing on top + height = (stewart.h-BP.thickness-TP.thickness-Leg.sphere.bottom-Leg.sphere.top-SP.thickness.bottom-SP.thickness.top)*0.001 ; % 2 meter height in home configuration + radius_b = BP.leg.rad*0.001; % rayon emplacement support base radius_t = TP.leg.rad*0.001; % top radius in meters + for i = 1:3 % base points angle_m_b = (2*pi/3)* (i-1) - alpha_b; @@ -35,16 +38,18 @@ for i = 1:3 pos_top(2*i-1,:) = [radius_t*cos(angle_m_t), radius_t*sin(angle_m_t), height]; pos_top(2*i,:) = [radius_t*cos(angle_p_t), radius_t*sin(angle_p_t), height]; end + % permute pos_top points so that legs are end points of base and top points pos_top = [pos_top(6,:); pos_top(1:5,:)]; %6th point on top connects to 1st on bottom pos_top_tranform = pos_top - height*[zeros(6, 2),ones(6, 1)]; -% Compute points w.r.t. to the body frame in a 3x6 matrix + +%% Compute points w.r.t. to the body frame in a 3x6 matrix body_pts = pos_top' - height*[zeros(2,6);ones(1,6)]; -% leg vectors +%% leg vectors legs = pos_top - pos_base; -leg_length = [ ]; -leg_vectors = [ ]; +leg_length = zeros(6, 1); +leg_vectors = zeros(6, 3); for i = 1:6 leg_length(i) = norm(legs(i,:)); leg_vectors(i,:) = legs(i,:) / leg_length(i); @@ -52,19 +57,26 @@ end Leg.lenght = 1000*leg_length(1)/1.5; -% Calculate revolute and cylindrical axes +%% Calculate revolute and cylindrical axes +rev1 = zeros(6, 3); +rev2 = zeros(6, 3); +rev3 = zeros(6, 3); +rev4 = zeros(6, 3); +cyl1 = zeros(6, 3); for i = 1:6 rev1(i,:) = cross(leg_vectors(i,:), z_axis); rev1(i,:) = rev1(i,:) / norm(rev1(i,:)); + rev3(i,:) = rev1(i,:); + rev2(i,:) = - cross(rev1(i,:), leg_vectors(i,:)); rev2(i,:) = rev2(i,:) / norm(rev2(i,:)); - cyl1(i,:) = leg_vectors(i,:); - rev3(i,:) = rev1(i,:); rev4(i,:) = rev2(i,:); + + cyl1(i,:) = leg_vectors(i,:); end -% Coordinate systems +%% Coordinate systems lower_leg = struct('origin', [0 0 0], 'rotation', eye(3), 'end_point', [0 0 0]); upper_leg = struct('origin', [0 0 0], 'rotation', eye(3), 'end_point', [0 0 0]); @@ -77,9 +89,9 @@ for i = 1:6 upper_leg(i).rotation = [rev1(i,:)', rev2(i,:)', cyl1(i,:)']; end -% Position Matrix +%% Position Matrix M_pos_base = pos_base + (height+(TP.thickness+Leg.sphere.top+SP.thickness.top+stewart.jacobian)*1e-3)*[zeros(6, 2),ones(6, 1)]; -% Compute Jacobian Matrix +%% Compute Jacobian Matrix J = getJacobianMatrix(leg_vectors, M_pos_base);