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Dependencies: MODSERIAL biquadFilter mbed
Fork of Kinematics by
Diff: main.cpp
- Revision:
- 23:062c9867738c
- Parent:
- 22:31ec06a15ea5
diff -r 31ec06a15ea5 -r 062c9867738c main.cpp
--- a/main.cpp Wed Oct 31 20:59:43 2018 +0000
+++ b/main.cpp Thu Nov 01 08:38:51 2018 +0000
@@ -2,6 +2,7 @@
#include <math.h>
#include <cmath>
#include "MODSERIAL.h"
+#include <stdio.h>
#define PI 3.14159265
MODSERIAL pc(USBTX, USBRX); // connecting to pc
@@ -12,6 +13,7 @@
// nog te verwijderen/ aan te passen, zijn dubbel gedefinieerd
+
//Joe dit zijn de inputsignalen (en tussenvariabelen)
//vorige theta
float theta1 = PI*0.49; // huidige/nieuwe theta
@@ -26,11 +28,11 @@
float prefy;
float deltat = 0.01;
//Joe dit zijn de constantes
-float ll = 230;
-float lu = 198;
-float lb = 50;
+float ll = 200.0;
+float lu = 170.0;
+float lb = 10.0;
float le = 79.0;
-float xbase = 450-lb;
+float xbase = 340;
//forward kinematics, Check mathematica! Omdat mbed in paniek raakt met meerdere wortels, hebben we de vergelijking opgedeeld in 3 stukken
@@ -87,111 +89,96 @@
//Hieronder rekenen we eerst de aparte dingen van de jacobiaan uit. (sla maar over)
- jacobiana = (500*(-(ll*(sin(theta1) - sin(0.001 - theta4)))/2. - ((-(xbase/ll) + cos(theta1) + cos(0.001 - theta4))*
- sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/4.))/
- sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)) +
- ((-xbase + ll*(cos(theta1) + cos(0.001 + theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.001 + theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.))/
- (ll*sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 + theta4),2) + pow(sin(theta1) - sin(0.001 + theta4),2))) + (ll*(sin(theta1) + sin(0.001 + theta4)))/2.))/
- (250000*((lb + xbase + ll*(cos(0.001 + theta1) - cos(theta4)) + (2*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.001 + theta1) + cos(theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.)*(-sin(0.001 + theta1) + sin(theta4)))/
- sqrt(pow(-(xbase/ll) + cos(0.001 + theta1) + cos(theta4),2) + pow(sin(0.001 + theta1) - sin(theta4),2)))/2. +
- (-lb - xbase - ll*(cos(0.001 - theta1) - cos(theta4)) - (2*(sin(0.001 - theta1) + sin(theta4))*
- sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/4.))/
- sqrt(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/2.)*
- (-(ll*(sin(theta1) - sin(0.001 - theta4)))/2. - ((-(xbase/ll) + cos(theta1) + cos(0.001 - theta4))*
- sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/4.))/
- sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)) +
- ((-xbase + ll*(cos(theta1) + cos(0.001 + theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.001 + theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.))/
- (ll*sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 + theta4),2) + pow(sin(theta1) - sin(0.001 + theta4),2))) + (ll*(sin(theta1) + sin(0.001 + theta4)))/2.) -
- 250000*(((-xbase + ll*(cos(0.001 + theta1) + cos(theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.001 + theta1) + cos(theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.))/
- (ll*sqrt(pow(-(xbase/ll) + cos(0.001 + theta1) + cos(theta4),2) + pow(sin(0.001 + theta1) - sin(theta4),2))) - (ll*(-sin(0.001 - theta1) + sin(theta4)))/2. + (ll*(sin(0.001 + theta1) + sin(theta4)))/2. -
- ((-xbase + ll*(cos(0.001 - theta1) + cos(theta4)))*sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/4.))/
- (ll*sqrt(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2))))*
- ((-lb - xbase - ll*(cos(theta1) - cos(0.001 - theta4)) + (2*(sin(theta1) + sin(0.001 - theta4))*
- sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/4.))/
- sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/2. +
- (lb + xbase + ll*(cos(theta1) - cos(0.001 + theta4)) + (2*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.001 + theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.)*(-sin(theta1) + sin(0.001 + theta4)))/
- sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 + theta4),2) + pow(sin(theta1) - sin(0.001 + theta4),2)))/2.));
+ jacobiana = (500*(-(((-(xbase/ll) + cos(theta1) + cos(theta4))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(theta4)) - ll*(1 + cos(theta1 + theta4))))/2.))/
+ sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2))) - (ll*(sin(theta1) + sin(theta4)))/2. +
+ ((-xbase + ll*(cos(theta1) + cos(0.002 + theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.002 + theta4)) - ll*(1 + cos(0.002 + theta1 + theta4))))/2.))/
+ (ll*sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.002 + theta4),2) + pow(sin(theta1) - sin(0.002 + theta4),2))) + (ll*(sin(theta1) + sin(0.002 + theta4)))/2.))/
+ (-125000*(-(((-(xbase/ll) + cos(theta1) + cos(theta4))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(theta4)) - ll*(1 + cos(theta1 + theta4))))/2.))/
+ sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2))) +
+ ((-xbase + ll*(cos(0.002 + theta1) + cos(theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.002 + theta1) + cos(theta4)) - ll*(1 + cos(0.002 + theta1 + theta4))))/2.))/
+ (ll*sqrt(pow(-(xbase/ll) + cos(0.002 + theta1) + cos(theta4),2) + pow(sin(0.002 + theta1) - sin(theta4),2))) - (ll*(sin(theta1) + sin(theta4)))/2. + (ll*(sin(0.002 + theta1) + sin(theta4)))/2.)*
+ (ll*(-cos(theta1) + cos(theta4)) + ll*(cos(theta1) - cos(0.002 + theta4)) + (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(theta1 + theta4))*
+ (sin(theta1) - sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2)) +
+ (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(0.002 + theta4) - 2*pow(ll,2)*cos(0.002 + theta1 + theta4))*(-sin(theta1) + sin(0.002 + theta4)))/
+ sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.002 + theta4),2) + pow(sin(theta1) - sin(0.002 + theta4),2))) +
+ 125000*(ll*(cos(0.002 + theta1) - cos(theta4)) + ll*(-cos(theta1) + cos(theta4)) + (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(theta1 + theta4))*
+ (sin(theta1) - sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2)) +
+ (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(0.002 + theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(0.002 + theta1 + theta4))*(-sin(0.002 + theta1) + sin(theta4)))/
+ sqrt(pow(-(xbase/ll) + cos(0.002 + theta1) + cos(theta4),2) + pow(sin(0.002 + theta1) - sin(theta4),2)))*
+ (-(((-(xbase/ll) + cos(theta1) + cos(theta4))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(theta4)) - ll*(1 + cos(theta1 + theta4))))/2.))/
+ sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2))) - (ll*(sin(theta1) + sin(theta4)))/2. +
+ ((-xbase + ll*(cos(theta1) + cos(0.002 + theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.002 + theta4)) - ll*(1 + cos(0.002 + theta1 + theta4))))/2.))/
+ (ll*sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.002 + theta4),2) + pow(sin(theta1) - sin(0.002 + theta4),2))) + (ll*(sin(theta1) + sin(0.002 + theta4)))/2.));
- jacobianb = (-500*((-lb - xbase - ll*(cos(theta1) - cos(0.001 - theta4)) + (2*(sin(theta1) + sin(0.001 - theta4))*
- sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/4.))/
- sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/2. +
- (lb + xbase + ll*(cos(theta1) - cos(0.001 + theta4)) + (2*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.001 + theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.)*(-sin(theta1) + sin(0.001 + theta4)))/
- sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 + theta4),2) + pow(sin(theta1) - sin(0.001 + theta4),2)))/2.))/
- (250000*((lb + xbase + ll*(cos(0.001 + theta1) - cos(theta4)) + (2*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.001 + theta1) + cos(theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.)*
- (-sin(0.001 + theta1) + sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(0.001 + theta1) + cos(theta4),2) + pow(sin(0.001 + theta1) - sin(theta4),2)))/2. +
- (-lb - xbase - ll*(cos(0.001 - theta1) - cos(theta4)) - (2*(sin(0.001 - theta1) + sin(theta4))*
- sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/4.))/
- sqrt(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/2.)*
- (-(ll*(sin(theta1) - sin(0.001 - theta4)))/2. - ((-(xbase/ll) + cos(theta1) + cos(0.001 - theta4))*
- sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/4.))/
- sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)) +
- ((-xbase + ll*(cos(theta1) + cos(0.001 + theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.001 + theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.))/
- (ll*sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 + theta4),2) + pow(sin(theta1) - sin(0.001 + theta4),2))) + (ll*(sin(theta1) + sin(0.001 + theta4)))/2.) -
- 250000*(((-xbase + ll*(cos(0.001 + theta1) + cos(theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.001 + theta1) + cos(theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.))/
- (ll*sqrt(pow(-(xbase/ll) + cos(0.001 + theta1) + cos(theta4),2) + pow(sin(0.001 + theta1) - sin(theta4),2))) - (ll*(-sin(0.001 - theta1) + sin(theta4)))/2. + (ll*(sin(0.001 + theta1) + sin(theta4)))/2. -
- ((-xbase + ll*(cos(0.001 - theta1) + cos(theta4)))*sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/4.))/
- (ll*sqrt(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2))))*
- ((-lb - xbase - ll*(cos(theta1) - cos(0.001 - theta4)) + (2*(sin(theta1) + sin(0.001 - theta4))*
- sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/4.))/
- sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/2. +
- (lb + xbase + ll*(cos(theta1) - cos(0.001 + theta4)) + (2*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.001 + theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.)*(-sin(theta1) + sin(0.001 + theta4)))/
- sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 + theta4),2) + pow(sin(theta1) - sin(0.001 + theta4),2)))/2.));
+ jacobianb = (-250*(ll*(-cos(theta1) + cos(theta4)) + ll*(cos(theta1) - cos(0.002 + theta4)) + (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(theta1 + theta4))*
+ (sin(theta1) - sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2)) +
+ (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(0.002 + theta4) - 2*pow(ll,2)*cos(0.002 + theta1 + theta4))*(-sin(theta1) + sin(0.002 + theta4)))/
+ sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.002 + theta4),2) + pow(sin(theta1) - sin(0.002 + theta4),2))))/
+ (-125000*(-(((-(xbase/ll) + cos(theta1) + cos(theta4))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(theta4)) - ll*(1 + cos(theta1 + theta4))))/2.))/
+ sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2))) +
+ ((-xbase + ll*(cos(0.002 + theta1) + cos(theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.002 + theta1) + cos(theta4)) - ll*(1 + cos(0.002 + theta1 + theta4))))/2.))/
+ (ll*sqrt(pow(-(xbase/ll) + cos(0.002 + theta1) + cos(theta4),2) + pow(sin(0.002 + theta1) - sin(theta4),2))) - (ll*(sin(theta1) + sin(theta4)))/2. + (ll*(sin(0.002 + theta1) + sin(theta4)))/2.)*
+ (ll*(-cos(theta1) + cos(theta4)) + ll*(cos(theta1) - cos(0.002 + theta4)) + (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(theta1 + theta4))*
+ (sin(theta1) - sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2)) +
+ (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(0.002 + theta4) - 2*pow(ll,2)*cos(0.002 + theta1 + theta4))*(-sin(theta1) + sin(0.002 + theta4)))/
+ sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.002 + theta4),2) + pow(sin(theta1) - sin(0.002 + theta4),2))) +
+ 125000*(ll*(cos(0.002 + theta1) - cos(theta4)) + ll*(-cos(theta1) + cos(theta4)) + (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(theta1 + theta4))*
+ (sin(theta1) - sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2)) +
+ (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(0.002 + theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(0.002 + theta1 + theta4))*(-sin(0.002 + theta1) + sin(theta4)))/
+ sqrt(pow(-(xbase/ll) + cos(0.002 + theta1) + cos(theta4),2) + pow(sin(0.002 + theta1) - sin(theta4),2)))*
+ (-(((-(xbase/ll) + cos(theta1) + cos(theta4))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(theta4)) - ll*(1 + cos(theta1 + theta4))))/2.))/
+ sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2))) - (ll*(sin(theta1) + sin(theta4)))/2. +
+ ((-xbase + ll*(cos(theta1) + cos(0.002 + theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.002 + theta4)) - ll*(1 + cos(0.002 + theta1 + theta4))))/2.))/
+ (ll*sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.002 + theta4),2) + pow(sin(theta1) - sin(0.002 + theta4),2))) + (ll*(sin(theta1) + sin(0.002 + theta4)))/2.));
- jacobianc = (-500*(((-xbase + ll*(cos(0.001 + theta1) + cos(theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.001 + theta1) + cos(theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.))/
- (ll*sqrt(pow(-(xbase/ll) + cos(0.001 + theta1) + cos(theta4),2) + pow(sin(0.001 + theta1) - sin(theta4),2))) - (ll*(-sin(0.001 - theta1) + sin(theta4)))/2. + (ll*(sin(0.001 + theta1) + sin(theta4)))/2. -
- ((-xbase + ll*(cos(0.001 - theta1) + cos(theta4)))*sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/4.))/
- (ll*sqrt(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))))/
- (250000*((lb + xbase + ll*(cos(0.001 + theta1) - cos(theta4)) + (2*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.001 + theta1) + cos(theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.)*
- (-sin(0.001 + theta1) + sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(0.001 + theta1) + cos(theta4),2) + pow(sin(0.001 + theta1) - sin(theta4),2)))/2. +
- (-lb - xbase - ll*(cos(0.001 - theta1) - cos(theta4)) - (2*(sin(0.001 - theta1) + sin(theta4))*
- sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/4.))/
- sqrt(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/2.)*
- (-(ll*(sin(theta1) - sin(0.001 - theta4)))/2. - ((-(xbase/ll) + cos(theta1) + cos(0.001 - theta4))*
- sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/4.))/
- sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)) +
- ((-xbase + ll*(cos(theta1) + cos(0.001 + theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.001 + theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.))/
- (ll*sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 + theta4),2) + pow(sin(theta1) - sin(0.001 + theta4),2))) + (ll*(sin(theta1) + sin(0.001 + theta4)))/2.) -
- 250000*(((-xbase + ll*(cos(0.001 + theta1) + cos(theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.001 + theta1) + cos(theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.))/
- (ll*sqrt(pow(-(xbase/ll) + cos(0.001 + theta1) + cos(theta4),2) + pow(sin(0.001 + theta1) - sin(theta4),2))) - (ll*(-sin(0.001 - theta1) + sin(theta4)))/2. + (ll*(sin(0.001 + theta1) + sin(theta4)))/2. -
- ((-xbase + ll*(cos(0.001 - theta1) + cos(theta4)))*sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/4.))/
- (ll*sqrt(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2))))*
- ((-lb - xbase - ll*(cos(theta1) - cos(0.001 - theta4)) + (2*(sin(theta1) + sin(0.001 - theta4))*
- sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/4.))/
- sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/2. +
- (lb + xbase + ll*(cos(theta1) - cos(0.001 + theta4)) + (2*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.001 + theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.)*(-sin(theta1) + sin(0.001 + theta4)))/
- sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 + theta4),2) + pow(sin(theta1) - sin(0.001 + theta4),2)))/2.));
+ jacobianc = (-500*(-(((-(xbase/ll) + cos(theta1) + cos(theta4))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(theta4)) - ll*(1 + cos(theta1 + theta4))))/2.))/
+ sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2))) +
+ ((-xbase + ll*(cos(0.002 + theta1) + cos(theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.002 + theta1) + cos(theta4)) - ll*(1 + cos(0.002 + theta1 + theta4))))/2.))/
+ (ll*sqrt(pow(-(xbase/ll) + cos(0.002 + theta1) + cos(theta4),2) + pow(sin(0.002 + theta1) - sin(theta4),2))) - (ll*(sin(theta1) + sin(theta4)))/2. + (ll*(sin(0.002 + theta1) + sin(theta4)))/2.))/
+ (-125000*(-(((-(xbase/ll) + cos(theta1) + cos(theta4))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(theta4)) - ll*(1 + cos(theta1 + theta4))))/2.))/
+ sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2))) +
+ ((-xbase + ll*(cos(0.002 + theta1) + cos(theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.002 + theta1) + cos(theta4)) - ll*(1 + cos(0.002 + theta1 + theta4))))/2.))/
+ (ll*sqrt(pow(-(xbase/ll) + cos(0.002 + theta1) + cos(theta4),2) + pow(sin(0.002 + theta1) - sin(theta4),2))) - (ll*(sin(theta1) + sin(theta4)))/2. + (ll*(sin(0.002 + theta1) + sin(theta4)))/2.)*
+ (ll*(-cos(theta1) + cos(theta4)) + ll*(cos(theta1) - cos(0.002 + theta4)) + (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(theta1 + theta4))*
+ (sin(theta1) - sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2)) +
+ (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(0.002 + theta4) - 2*pow(ll,2)*cos(0.002 + theta1 + theta4))*(-sin(theta1) + sin(0.002 + theta4)))/
+ sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.002 + theta4),2) + pow(sin(theta1) - sin(0.002 + theta4),2))) +
+ 125000*(ll*(cos(0.002 + theta1) - cos(theta4)) + ll*(-cos(theta1) + cos(theta4)) + (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(theta1 + theta4))*
+ (sin(theta1) - sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2)) +
+ (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(0.002 + theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(0.002 + theta1 + theta4))*(-sin(0.002 + theta1) + sin(theta4)))/
+ sqrt(pow(-(xbase/ll) + cos(0.002 + theta1) + cos(theta4),2) + pow(sin(0.002 + theta1) - sin(theta4),2)))*
+ (-(((-(xbase/ll) + cos(theta1) + cos(theta4))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(theta4)) - ll*(1 + cos(theta1 + theta4))))/2.))/
+ sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2))) - (ll*(sin(theta1) + sin(theta4)))/2. +
+ ((-xbase + ll*(cos(theta1) + cos(0.002 + theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.002 + theta4)) - ll*(1 + cos(0.002 + theta1 + theta4))))/2.))/
+ (ll*sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.002 + theta4),2) + pow(sin(theta1) - sin(0.002 + theta4),2))) + (ll*(sin(theta1) + sin(0.002 + theta4)))/2.));
- jacobiand = (500*((lb + xbase + ll*(cos(0.001 + theta1) - cos(theta4)) + (2*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.001 + theta1) + cos(theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.)*(-sin(0.001 + theta1) + sin(theta4)))/
- sqrt(pow(-(xbase/ll) + cos(0.001 + theta1) + cos(theta4),2) + pow(sin(0.001 + theta1) - sin(theta4),2)))/2. +
- (-lb - xbase - ll*(cos(0.001 - theta1) - cos(theta4)) - (2*(sin(0.001 - theta1) + sin(theta4))*
- sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/4.))/
- sqrt(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/2.))/
- (250000*((lb + xbase + ll*(cos(0.001 + theta1) - cos(theta4)) + (2*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.001 + theta1) + cos(theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.)*
- (-sin(0.001 + theta1) + sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(0.001 + theta1) + cos(theta4),2) + pow(sin(0.001 + theta1) - sin(theta4),2)))/2. +
- (-lb - xbase - ll*(cos(0.001 - theta1) - cos(theta4)) - (2*(sin(0.001 - theta1) + sin(theta4))*
- sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/4.))/
- sqrt(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/2.)*
- (-(ll*(sin(theta1) - sin(0.001 - theta4)))/2. - ((-(xbase/ll) + cos(theta1) + cos(0.001 - theta4))*
- sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/4.))/
- sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)) +
- ((-xbase + ll*(cos(theta1) + cos(0.001 + theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.001 + theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.))/
- (ll*sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 + theta4),2) + pow(sin(theta1) - sin(0.001 + theta4),2))) + (ll*(sin(theta1) + sin(0.001 + theta4)))/2.) -
- 250000*(((-xbase + ll*(cos(0.001 + theta1) + cos(theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.001 + theta1) + cos(theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.))/
- (ll*sqrt(pow(-(xbase/ll) + cos(0.001 + theta1) + cos(theta4),2) + pow(sin(0.001 + theta1) - sin(theta4),2))) - (ll*(-sin(0.001 - theta1) + sin(theta4)))/2. + (ll*(sin(0.001 + theta1) + sin(theta4)))/2. -
- ((-xbase + ll*(cos(0.001 - theta1) + cos(theta4)))*sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/4.))/
- (ll*sqrt(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2))))*
- ((-lb - xbase - ll*(cos(theta1) - cos(0.001 - theta4)) + (2*(sin(theta1) + sin(0.001 - theta4))*
- sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/4.))/
- sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/2. +
- (lb + xbase + ll*(cos(theta1) - cos(0.001 + theta4)) + (2*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.001 + theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.)*(-sin(theta1) + sin(0.001 + theta4)))/
- sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 + theta4),2) + pow(sin(theta1) - sin(0.001 + theta4),2)))/2.));
-
+ jacobiand = (250*(ll*(cos(0.002 + theta1) - cos(theta4)) + ll*(-cos(theta1) + cos(theta4)) + (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(theta1 + theta4))*
+ (sin(theta1) - sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2)) +
+ (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(0.002 + theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(0.002 + theta1 + theta4))*(-sin(0.002 + theta1) + sin(theta4)))/
+ sqrt(pow(-(xbase/ll) + cos(0.002 + theta1) + cos(theta4),2) + pow(sin(0.002 + theta1) - sin(theta4),2))))/
+ (-125000*(-(((-(xbase/ll) + cos(theta1) + cos(theta4))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(theta4)) - ll*(1 + cos(theta1 + theta4))))/2.))/
+ sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2))) +
+ ((-xbase + ll*(cos(0.002 + theta1) + cos(theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.002 + theta1) + cos(theta4)) - ll*(1 + cos(0.002 + theta1 + theta4))))/2.))/
+ (ll*sqrt(pow(-(xbase/ll) + cos(0.002 + theta1) + cos(theta4),2) + pow(sin(0.002 + theta1) - sin(theta4),2))) - (ll*(sin(theta1) + sin(theta4)))/2. + (ll*(sin(0.002 + theta1) + sin(theta4)))/2.)*
+ (ll*(-cos(theta1) + cos(theta4)) + ll*(cos(theta1) - cos(0.002 + theta4)) + (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(theta1 + theta4))*
+ (sin(theta1) - sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2)) +
+ (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(0.002 + theta4) - 2*pow(ll,2)*cos(0.002 + theta1 + theta4))*(-sin(theta1) + sin(0.002 + theta4)))/
+ sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.002 + theta4),2) + pow(sin(theta1) - sin(0.002 + theta4),2))) +
+ 125000*(ll*(cos(0.002 + theta1) - cos(theta4)) + ll*(-cos(theta1) + cos(theta4)) + (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(theta1 + theta4))*
+ (sin(theta1) - sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2)) +
+ (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(0.002 + theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(0.002 + theta1 + theta4))*(-sin(0.002 + theta1) + sin(theta4)))/
+ sqrt(pow(-(xbase/ll) + cos(0.002 + theta1) + cos(theta4),2) + pow(sin(0.002 + theta1) - sin(theta4),2)))*
+ (-(((-(xbase/ll) + cos(theta1) + cos(theta4))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(theta4)) - ll*(1 + cos(theta1 + theta4))))/2.))/
+ sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2))) - (ll*(sin(theta1) + sin(theta4)))/2. +
+ ((-xbase + ll*(cos(theta1) + cos(0.002 + theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.002 + theta4)) - ll*(1 + cos(0.002 + theta1 + theta4))))/2.))/
+ (ll*sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.002 + theta4),2) + pow(sin(theta1) - sin(0.002 + theta4),2))) + (ll*(sin(theta1) + sin(0.002 + theta4)))/2.));
//vanaf hier weer door met lezen!
prefx = 1*(!button1); //sw3, dit is belangrijk! prefx staat voor P_(reference) en het is de snelheid van de endeffector als
// de button ingedrukt wordt (als emg = boven treshold) is de prefx 1 (da's de rode 1)
prefy = 1*(!button2); //sw2,
inverse(prefx, prefy);
- ledr!=ledr;
+
+ ledr=!ledr;
}
@@ -240,14 +227,14 @@
theta4 = PI*0.49;
pc.baud(115200);
//default = theta1 = theta4 = pi/2,
- emgcheck.attach(kinematics, 0.0085); // roep de ticker aan (
-
+ emgcheck.attach(kinematics, 0.01); // roep de ticker aan (
+ ledr = 1;
pc.printf("%f", theta1);
while(true) {
pc.printf("\n\r %f %f \n\r %f %f", theta4,theta1, xend, yend); // in teraterm zijn de bovenste twee waardes hoeken, de onderste twee zijn de x en y coordinaat
- wait(0.5);//anders krijg je DOEZEND waardes...
+ wait(1);//anders krijg je DOEZEND waardes...
}
