From e114ca9f87a8d948435e4a84dc182fb56d871480 Mon Sep 17 00:00:00 2001 From: mcarfagno Date: Wed, 4 Mar 2020 12:32:29 +0000 Subject: [PATCH] Updated README.md --- README.md | 50 +++++++++++- img/demo.gif | Bin 0 -> 1686691 bytes mpc_demo/__pycache__/cvxpy_mpc.cpython-36.pyc | Bin 0 -> 3787 bytes mpc_demo/__pycache__/utils.cpython-36.pyc | Bin 0 -> 1217 bytes mpc_demo/cvxpy_mpc.py | 2 + mpc_demo/main.py | 69 ++++++++++++++--- mpc_demo/utils.py | 2 +- .../MPC_cvxpy-checkpoint.ipynb | 72 ++++++++++++++++-- {notebooks => notebook}/MPC_cvxpy.ipynb | 72 ++++++++++++++++-- {notebooks => notebook}/MPC_scipy.ipynb | 0 .../img/mpc_block_diagram.png | Bin {notebooks => notebook}/img/mpc_t.png | Bin requirements.txt | 4 + 13 files changed, 244 insertions(+), 27 deletions(-) create mode 100644 img/demo.gif create mode 100644 mpc_demo/__pycache__/cvxpy_mpc.cpython-36.pyc create mode 100644 mpc_demo/__pycache__/utils.cpython-36.pyc rename {notebooks => notebook}/.ipynb_checkpoints/MPC_cvxpy-checkpoint.ipynb (98%) rename {notebooks => notebook}/MPC_cvxpy.ipynb (98%) rename {notebooks => notebook}/MPC_scipy.ipynb (100%) rename {notebooks => notebook}/img/mpc_block_diagram.png (100%) rename {notebooks => notebook}/img/mpc_t.png (100%) create mode 100644 requirements.txt diff --git a/README.md b/README.md index 63bc8c9..0296083 100644 --- a/README.md +++ b/README.md @@ -1,2 +1,50 @@ # mpc_python -Python implementation of mpc controller for path tracking + +Python implementation of mpc controller for path tracking. + +## About + +The MPC is a model predictive path following controller which does follow a predefined reference path Xref and Yref by solving an optimization problem. The resulting optimization problem is shown in the following equation: + +MIN $ J(x(t),U) = \sum^{t+T-1}_{j=t} (x_{j,ref} - x_{j})^T_{j}Q(x_{j,ref} - x_{j}) + u^T_{j}Ru_{j} $ + +s.t. + +$ x(0) = x0 $ + +$ x_{j+1} = Ax_{j}+Bu_{j})$ for $t< j }<&<>ch#lq&<>%(%;pXD!=Huk%%$!=;ht$u(@;^^(_?C{&=>+!UF;@{!x z=2;^pH0fe!q4 z1m3iK=i%Dh-r?)l&G58`@4c4ryo&RyZSt{i<>uw<>+9_7?Cr;_^YZikh7bOI1@@9d z;osit+syoP0{Q#<+|$C~;Nba#9`vMV@7BBS_V)LXF8HKX_Id{4;^A|2bKAa_;^pJ+ z?(XsN@%j1r^z`)Q;^O>z1mNfD=-<-k-`eEYqw<>cY@_V)ID5B>f9KgcB00u%GvXoKHb{W z{(lbd$)WxJ{@vi-?!cq}{{4f6hyDEf#>U1?kig&G-re5aU6r>pg{z;v)bsZB{{H<% zj=zDh%uJ27Ta?4Y#KZcVPxpWe?4wcK+}!QXt;*c$;?1~KzE_8udbzfPc(FqosfB5dV*_g zYjJXM7Hy$bRaLUGvt4w8wzs#sy1J2(k*TSvzrVj>Z*7c?j!cD}ii(PRcxBgi8f9l@ zV`F2NmzJZWqn(|dx45`tWMn2LCIA2c8X6i#Mn*9)F$Dz$5D*YNJUmWLPRol?&6;h+ z!L|VZ00000A^!_bMO0HmK~P09E-(WD0000X`2+ zoJq5$&6_xL>fFh*r_Y~2g9;r=w5ZXeNRujE%CxD|r%fOt?uiw9b0}IYt?OwHz`Q%w#hp*G% z$B?Jyn>UY6!EpHIb=x5D*uBs5@Y!o8=EWWlr{CqHcTaS%Dy9#HIVKOE?R>94fEYJ# 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