From 197a87d441baffb50fc7a77527a535baad451a05 Mon Sep 17 00:00:00 2001 From: Jason Deal Date: Mon, 3 Mar 2025 17:02:18 -0500 Subject: [PATCH] docs: coralator configuration space --- docs/coralator-tuning.md | 43 ++++++++++++++++++++++++++++++ docs/imgs/angle-diagram.jpg | Bin 0 -> 226337 bytes docs/imgs/arm-diagram.jpg | Bin 0 -> 286422 bytes docs/imgs/configuration-space.png | Bin 0 -> 163448 bytes docs/imgs/wrist-diagram.jpg | Bin 0 -> 266779 bytes 5 files changed, 43 insertions(+) create mode 100644 docs/coralator-tuning.md create mode 100644 docs/imgs/angle-diagram.jpg create mode 100644 docs/imgs/arm-diagram.jpg create mode 100644 docs/imgs/configuration-space.png create mode 100644 docs/imgs/wrist-diagram.jpg diff --git a/docs/coralator-tuning.md b/docs/coralator-tuning.md new file mode 100644 index 0000000..c7175a0 --- /dev/null +++ b/docs/coralator-tuning.md @@ -0,0 +1,43 @@ +# Coralator Tuning + +The coralator essentially has three degrees of freedom. +Those are height (from the elevator), arm angle, and wrist angle. +Not all of these can be adjusted independently - certain configurations can result in the robot colliding with itself. +We can model the various valid configurations to create what's called a configuration space. +To move our end effector from one position to another, we must ensure that we stay within the confines of the configuration space. + +To define this configuration space, we must consider the bounds of each mechanism. +We'll start with the individual components - the arm and the wrist. +Let's say the arm has a lower limit of -10 degrees and an upper limit of 90 degrees, while the wrist can rotate a full 360 degrees. +The arm is constrained by the drivetran and the elevator, while the wrist isn't constrained. +However, the wrist does have a constraint, but it's dependent on the arms position. +We can use the following diagram to determine the relative angle bettween the arm and the wrist: + +![angle diagram](./imgs/angle-diagram.jpg) + +Doing some trig, we find that the wrist's relative angle to the arm can be found with the following equation: + +$$ +\theta_r = 180-\theta_a-\theta_w +$$ + +Let's say this angle, $\theta_r$, is constrained to the bound \[-120,160\] degrees. +If we graph all of these constraints, this is the result: + +![configuration space](./imgs/configuration-space.png) + +In this graph, the x-axis represents the wrist angle while the y-axis represents the arm angle. +The white space represents all possible valid configurations. +When performing path planning for the coralator, we must ensure that it's path never drifts outside of this configuration space. + +For more details on condiguration spaces and motion planning, check out chapter 16 of [Controls Engineering in FRC](https://file.tavsys.net/control/controls-engineering-in-frc.pdf). + +## Appendix + +**Wrist Angle Diagram:** + +![wrist angle diagram](./imgs/wrist-diagram.jpg) + +**Arm Angle Diagram:** + +![arm angle diagram](./imgs/arm-diagram.jpg) diff --git a/docs/imgs/angle-diagram.jpg b/docs/imgs/angle-diagram.jpg new file mode 100644 index 0000000000000000000000000000000000000000..3a2485c1b5c64c6d21d0f84f4588851b94a4b6b0 GIT binary patch literal 226337 zcmb5VcUY498$S*xIB|~@%?Ym1GDSNcx0xe%X^I0!CJC<7!OAq;qcpdr*>GkqFa^w1 zaAn$3vrtgU(I-1N@_10g>c{u`UDxmW{`-5wfA@7gJlxOyzTdBLKfjs3IRF_qXIEzc z5C{ag2tI({EPx|G1Pq3Ng+(9`h^UB&sDzw^gt)kblC%s|PE`q}s-mQFL`_p)TkR;~ z=n)m2IfqC&cFiK5QQh|?q{>V%A8K0i_EOshMRYN zKVOd+LM`tIE_p~|?0?S#Bn5W~k`hly0#m+`fO54o@J>@Bk9m za2X%P|<-PDXiF5@{I{2TmYi zKkZ+P>UMwl+(;cx+#b&WU>ox}0X&Ix2O4q(vlS)O2VjxzO0U+5_Y)m1;v|pDJfwF< zP!a*5r9tEXQcW-*keEFTY>cSi^q5E)0ddZ%*GE(}psJo3uI?y51DtLj=QIdalpGh~ z!YPbeo8>sh9?qI3dN=3m4aH|b+yOXFn8)z}&A&KXyBsTjDg~IV*k&AYe9mgUOOBdU zqVx>ZPBRT1=G#3+ALgT_`{}U+>7ODzX0R3UVS~l#phF3g{1fb^RZ6}Q&;f_LWx@nr z&p9|0KRSF2!xJ+>77vKT>&td=+WGknb?0>NfrwR4x{e3|xKI{ei)0i$6)%6>Y#DVD zd(z{+D~rf5arF*GS6ple!xt;^*frPMyg;*8`9NGvf%3pg44}bXf~Y$YJ7LuzlMIB1 zmu@uVk(ifRg;rcYcB*89L4d#7$&wm6)pHrjrfP~q=Qd~tX6RJn z8xw;Bf99deKV9 zqh^;Io!cT0FgVRdH({B%v}j>a_CEKN&A2X*Y%=W|kQYq4xd_xQ&WMo4A2-a@4wh-K9xSrqO6{%fPzk9@ftGE4Qna-(r z(u(XPTZ!&b&52F?C6=cwvyz_pTrL@7K^5YfbOS7*v}unypMyNvSml(LiLO#dOS3Tt z99;RhYJ9Qc2E#ZYPZhZg(^jC_|8*Am1DCfi9SiyoY$ZV%?$gcDm{;TK7x9Z5hnYAe zTLtT;Z^`T!qSCM^(uF>WbU6w6*m7gh=6HQuSN)j{Aw)q{1MY}CY4t@z&vTPvdRj(m z!MXISO!G0@@F

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