--- a +++ b/arm_model/muscle_space_projection.ipynb @@ -0,0 +1,438 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "source": [ + "# Muscle Space Projection and Segmental Level Reflexes" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "source": [ + "## Introduction" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "source": [ + "The application of muscle space projection on modeling segmental level reflexes\n", + "is presented. This projection exhibits several advantages in problems related to\n", + "the segmental level coordination, mainly because of the different muscle related\n", + "variables (e.g. length, velocity and muscle stiffness) that are\n", + "directly/indirectly controlled by the central nervous system (CNS). For example,\n", + "the proprioceptive receptors, located in the spinal cord, constantly measure the\n", + "evolution of these variables and issue corrective actions. More specifically,\n", + "the muscle spindle organs measure changes in the muscle length and the Golgi\n", + "tendon organs measure the force exerted by their respective muscles. This\n", + "indicates that the aforementioned variables are used in an internal feedback\n", + "regulation process. Muscle space projection will be used as an ID (Inverse\n", + "Dynamics) controller, in order to find the muscle forces ($f_m$) that achieve\n", + "the objective goal ($\\ddot{l}_{m}$). These forces can consequently actuate the\n", + "model in a FD (Forward Dynamics) manner and the resultant movement can be\n", + "assessed." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "source": [ + "## Muscle Space Projection" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "source": [ + "The musculotendon length is given as a function of the generalized coordinates\n", + "($q$) \n", + "\n", + "\n", + "\\begin{equation}\\label{equ:muscle-length}\n", + " l_{m} = f(q),\\; l_{m} \\in \\Re^{m},\\; q \\in \\Re^{n},\\; n < m\n", + "\\end{equation}\n", + " \n", + "\n", + "implying that the generalized coordinates fully define the musculotendon\n", + "lengths, assuming that the muscles are pretensioned. The derivative of with\n", + "respect to time is given by\n", + " \n", + "\n", + "\\begin{equation}\\label{equ:moment-arm}\n", + " \\dot{l}_{m} = R(q) \\dot{q}, \\; R(q) =\n", + " \\begin{bmatrix}\n", + " \\frac{\\partial f_1}{\\partial q_1} & \\cdots & \\frac{\\partial f_1}{\\partial q_n} \\\\\n", + " \\vdots & \\ddots & \\vdots \\\\\n", + " \\frac{\\partial f_m}{\\partial q_1} & \\cdots & \\frac{\\partial f_m}{\\partial q_n}\n", + " \\end{bmatrix}\n", + "\\end{equation}\n", + "\n", + "\n", + "\\begin{equation}\\label{equ:muscle-joint-acc}\n", + " \\ddot{l}_{m} = \\dot{R}\\dot{q} + R\\ddot{q}\n", + "\\end{equation}\n", + "\n", + "\n", + "\\begin{equation}\\label{equ:muscle-length-acc}\n", + " \\ddot{l}_{m} = \\dot{R} \\dot{q} + R \\ddot{q} +\n", + " \\dot{N}_{R} \\dot{l}_{m0} + N_{R} \\ddot{l}_{m0}\n", + "\\end{equation}\n", + "\n", + "\n", + "The muscle moment arm matrix ($R$) defines a dual relation between motion and\n", + "force quantities. The virtual work principle can be used to establish the link\n", + "between muscle and join space forces (augmented by the null space)\n", + "\n", + "\n", + "\\begin{equation}\\label{equ:joint-muscle-forces-vw}\n", + " \\begin{aligned}\n", + " \\tau^T \\delta q &= -f_m^T \\delta l_{m} \\\\\n", + " \\tau^T \\delta q &= -f_m^T R \\delta q \\\\\n", + " \\tau &= -R^T f_m + N_{R} f_{m0}, \\; N_{R} = (I - R R^+)\n", + " \\end{aligned}\n", + "\\end{equation}\n", + "\n", + "\n", + "where $N_{R} \\in \\Re^{m \\times m}$ represents the null space of $R$. Let the\n", + "joint space equations of motion (EoMs) have the following form\n", + "\n", + "\n", + "\\begin{equation}\\label{equ:eom-joint-space}\n", + " \\begin{gathered}\n", + " M(q) \\ddot{q} + f(q, \\dot{q}) = \\tau \\\\\n", + " f(q, \\dot{q}) = \\tau_g(q) + \\tau_c(q, \\dot{q}) + \\tau_{o}(q, \\dot{q}) \n", + " \\end{gathered}\n", + "\\end{equation}\n", + "\n", + "\n", + "where $M \\in \\Re^{n \\times n}$ denotes the symmetric, positive definite joint\n", + "space inertia mass matrix, $n$ the number of DoFs of the model and ${q, \\dot{q},\n", + "\\ddot{q}} \\in \\Re^{n}$ the joint space generalized coordinates and their\n", + "derivatives with respect to time. The term $f \\in \\Re^{n}$ is the sum of all\n", + "joint space forces, $\\tau_g \\in \\Re^{n}$ the gravity, $\\tau_c \\in \\Re^{n}$ the\n", + "Coriolis and centrifugal and $\\tau_{o} \\in \\Re^{n}$ other generalized\n", + "forces. Term $\\tau \\in \\Re^{n}$ represents a vector of applied generalized\n", + "forces that actuate the model.\n", + "\n", + "We can project the joint space EoMs in the muscle space by multiplying both\n", + "sides from the left with $-R M^{-1}$\n", + "\n", + "\n", + "\\begin{equation}\\label{equ:eom-muscle-space}\n", + " \\begin{gathered}\n", + " -R M^{-1}M \\ddot{q} - R M^{-1}f = -R M^{-1}\\tau \\\\\n", + " -(\\ddot{l}_{m} - \\dot{R}_t\\dot{q} - \\dot{N}_{R} \\dot{l}_{m0} - N_{R} \\ddot{l}_{m0}) -R M^{-1} f =\n", + " R M^{-1} R^T f_m \\\\\n", + " \\Lambda_m(\\ddot{l}_{m} + b_m) + R^{+T} f = f_m^{\\parallel} + f_m^{\\perp} \n", + " \\end{gathered}\n", + "\\end{equation}\n", + "\n", + "\n", + "where $\\Lambda_m=(RM^{-1}R^T)^{+} \\in \\Re^{m \\times m}$ denotes the muscle space\n", + "inertia mass matrix and $b_m = - \\dot{R}\\dot{q} - \\dot{N}_{R} \\dot{l}_{m0}$ the muscle bias term. Note that\n", + "$\\Lambda_m N_{R} \\ddot{l}_{mt0}= 0$ and $\\Lambda_m R M^{-1} = R^{+T}$. The\n", + "muscle forces $f_m$ can be expressed as the sum of two mutually orthogonal\n", + "subspaces that span the entire muscle space ($f_m = f_m^{\\parallel} +\n", + "f_m^{\\perp} \\in \\Re^{m}$). In this example, $f_m^{\\perp}$ is appropriately\n", + "selected through an optimization such as that $f_m$ is the minimum effort\n", + "solution that satisfies the physiological constraints of the muscles ($0 \\preceq\n", + "f_m \\preceq f_{max}$)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "source": [ + "## Muscle Space Projection and Reflexes" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "source": [ + "We continue with the design of a posture controller that coarsely encapsulates\n", + "the characteristics of the internal regulation process performed in the spinal\n", + "cord and the evaluation of system's response to external disturbances. As the\n", + "muscle length and its derivative are the regulating variables, muscle space\n", + "projection is a natural representation in this setting. The following control\n", + "scheme is adopted for this experiment\n", + "\n", + "\n", + "\\begin{equation}\\label{equ:posture-controller}\n", + " \\ddot{l}_{mt}(t) = k_p(l_{mt}^d - l_{mt}(t - \\tau_{so})) - k_d \\dot{l}_{mt}(t - \\tau_{so})\n", + "\\end{equation}\n", + "\n", + "\n", + "where $\\ddot{l}_{mt}(t)$ denotes the muscle length acceleration goals, $l_{mt}^d\n", + "= l_{mt}(t=0)$ corresponds to the desired muscle length positions, $l_{mt}(t -\n", + "\\tau_{so}), \\dot{l}_{mt}(t - \\tau_{so})$ the perceived, delayed ($\\tau_{so} ~=\n", + "20ms$ originating from muscle spindle organs) muscle length positions and\n", + "velocities and $k_p, k_d$ the reflex gains. Note that this control law restores\n", + "the system to its original position $l_{mt}(t=0)$.\n", + "\n", + "A force disturbance impulse in an arbitrary direction is applied on the end\n", + "effector body. The impulse is modeled by a Gaussian function\n", + "\n", + "\n", + "\\begin{equation}\\label{equ:gaussian}\n", + " f(t) = a e^{\\frac{-(t - t_0)}{2 \\sigma^2}}\n", + "\\end{equation}\n", + "\n", + "\n", + "where $a$ controls the magnitude, $t_0$ the application time and $\\sigma$ the\n", + "outspread of the impulse. For the following experiments we will use\n", + "$a = 15, t_0 = 0.1, \\sigma = 0.01$ and the direction of perturbation will\n", + "be the $-x$ direction. In our experiments, $\\vec{\\dot{l}}_{m0}$ is set zero to \n", + "encode an unbiased strategy, for the sake of simplicity," + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "autoscroll": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The autoreload extension is already loaded. To reload it, use:\n", + " %reload_ext autoreload\n" + ] + } + ], + "source": [ + "# notebook general configuration\n", + "\n", + "%load_ext autoreload\n", + "%autoreload 2\n", + "\n", + "# imports and utilities\n", + "import numpy as np\n", + "import sympy as sp\n", + "from IPython.display import display, Image\n", + "sp.interactive.printing.init_printing()\n", + "\n", + "import logging\n", + "logging.basicConfig(level=logging.INFO)\n", + "\n", + "# plot\n", + "%matplotlib inline\n", + "from matplotlib.pyplot import *\n", + "rcParams['figure.figsize'] = (10.0, 6.0)\n", + "\n", + "# utility for displaying intermediate results\n", + "enable_display = True\n", + "def disp(*statement):\n", + " if (enable_display):\n", + " display(*statement)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "autoscroll": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [], + "source": [ + "# import necessary modules\n", + "from model import ArmModel\n", + "from projection import MuscleSpace\n", + "from controller import PosturalMuscleSpaceController\n", + "from simulation import Simulation" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "autoscroll": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [], + "source": [ + "# construct model,\n", + "\n", + "# Gravity is disabled to improve execution time during numerical integration\n", + "# note that if enabled, different PD gains are required to track the movement\n", + "# accurately. Furthermore, we disable the coordinate limiting and viscosity\n", + "# forces.\n", + "model = ArmModel(use_gravity=0, use_coordinate_limits=0, use_viscosity=0)\n", + "model.pre_substitute_parameters()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "autoscroll": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [ + { + "data": { + "image/png": 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H5j3E4+8/ztUlV0cai0gyRDXl/uWXX2bZsmWMHz8eCEqWjzzyyKTG0dmYWTYw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OTr/qGlY/8Ri3feg6dm9Y5wcNA95xO1zzc2jZAN9bBCvvkS4lQkwgUsAoImyb7NJV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\nGJIkSZIkqT0XGJIkSZIkqb33AVQFdBDkUXpZAAAAAElFTkSuQmCC\n", + "text/plain": [ + "<Figure size 1080x720 with 6 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# simulation parameters\n", + "t_end = 3.0\n", + "kp = 10\n", + "kd = 10\n", + "delay = 0.02\n", + "a = 15\n", + "t0 = 0.1\n", + "sigma = 0.01\n", + "gamma = np.pi\n", + "use_optimization = True\n", + "base_dir = 'results/posture_control/'\n", + "format_ext = 'pdf'\n", + "\n", + "# muscle space\n", + "muscle_space = MuscleSpace(model, use_optimization=use_optimization)\n", + "controller = PosturalMuscleSpaceController(model, muscle_space, kp, kd, delay,\n", + " a, t0, sigma, gamma)\n", + "\n", + "# numerical integration\n", + "simulation = Simulation(model, controller)\n", + "simulation.integrate(t_end)\n", + "\n", + "# plot simulation results\n", + "fig, ax = subplots(2, 3, figsize=(15, 10))\n", + "simulation.plot_simulation(ax[0])\n", + "controller.reporter.plot_postural_muscle_space_data(ax[1])\n", + "fig.tight_layout()\n", + "fig.savefig(base_dir + 'posture_full.' + format_ext, format=format_ext, dpi=300)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "autoscroll": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [ + { + "data": { + "image/png": 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fwMHhylClBOP0Q93OWQucBGBmhxMko4desxIRkQFSAiPDVjetBuDgkQdHHImI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\nUwNDRERERERERKre/wcJL0xXxTrp4gAAAABJRU5ErkJggg==\n", + "text/plain": [ + "<Figure size 1080x720 with 6 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# simulation without the descending command (kp = 0)\n", + "kp = 0\n", + "\n", + "# muscle space\n", + "muscle_space = MuscleSpace(model, use_optimization=use_optimization)\n", + "controller = PosturalMuscleSpaceController(model, muscle_space, kp, kd, delay,\n", + " a, t0, sigma, gamma)\n", + "\n", + "# numerical integration\n", + "simulation = Simulation(model, controller)\n", + "simulation.integrate(t_end)\n", + "\n", + "# plot simulation results\n", + "fig, ax = subplots(2, 3, figsize=(15, 10))\n", + "simulation.plot_simulation(ax[0])\n", + "controller.reporter.plot_postural_muscle_space_data(ax[1])\n", + "fig.tight_layout()\n", + "fig.savefig(base_dir + 'posture_reflex.' + format_ext, format=format_ext, dpi=300)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.15" + }, + "name": "muscle_space.ipynb" + }, + "nbformat": 4, + "nbformat_minor": 2 +}