Questions tagged [dynamics]

Dynamics is a branch of applied mathematics (specifically classical mechanics) concerned with the study of forces and torques and their effect on motion, as opposed to kinematics, which studies the motion of objects without reference to its causes.

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121 views

Free-floating sphere dynamics using Roy Featherstone's spatial_v2 toolbox

I am using Roy Featherstone's spatial_v2 to model a mobile robot. I encountered a problem so I went back to modeling a free-floating sphere to familiarize myself with the library and the algorithms. ...
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1answer
208 views

When are non-diagonal matrices advantageous for linear quadratic regulators?

When setting up an optimal control problem using a linear quadratic regulator, one often chooses semi-definite matrices Q and R such that the objective function J has the form $$J=\int_{t_0}^{t_f}(...
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1answer
554 views

Euler-Lagrange Dynamic model

I'm working on a masters thesis and need to calculate Mass inertia matrix ($M$), Coriolis/Centrifugal matrix ($C$), and the gravity matrix ($G$) in the equation $M\ddot{\theta} + C\theta + G = \tau$ (...
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1answer
743 views

Linear State Space of a 6DOF robot

I'm new to the field of robotics, so this is a pretty basic question: I'm assigned with the task of constructing a linear state space model of a 6DOF robotic arm that moves in 3D space. I believe the ...
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2answers
601 views

How do I calculate the direction robot is facing, pose from velocity and yaw rate?

I have a simple car robot with four wheels moving relatively slowly (5~10 mph). The robot has a velocity magnitude and yaw rate sensor and the sensor samples about every 0.1 seconds. I want to map the ...
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1answer
384 views

Dynamics of a robot manipulator with a force acting on the end-effector

I have this exercise The dynamic model is $B(q)\ddot{q}+S(q,\dot{q})\dot{q}=\tau+\tau_k$ Where $B(q)$ is the inertia matrix, $S(q,\dot{q})\dot{q}$ are the centrifugal and Coriolis terms, $\tau$ is ...
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2answers
909 views

Inverse dynamics for robotic arm using Matlab Simmechanics

I am learning Simmechanics Matlab to do inverse dynamics for 4 DOF robotic arm. I read many examples to input motion to revolute joints like through PID, slider gain, sine waves, signal Builder etc. ...
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1answer
83 views

Euler-Lagrange systems, autonomous or nonautonomous?

I was reading an article on Euler-Lagrange systems. It is stated there that since M(q) and C(q,q') depend on q, it is not autonomous. As a result, we cannot use LaSalle's theorem. I have uploaded that ...
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0answers
52 views

How to properly model a non-holonomic system?

I'm trying to model a robot which is composed of a non-holonomic and a holonomic system overall is non-holonomic. Basically it's a robot arm + mobile platform. So far I have found a similar work like ...
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1answer
30 views

Angular Velocities of CoM in Global Coordinate

The block diagram of the robot is shown as above. Here, $\phi$ is the angle between $X_v$ and $X_0$ (Yaw angle of the robot), and $\psi$ is the angle between $Z_b$ and $Z_v$ (pitch angle of the robot'...
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0answers
49 views

how to introduce 2 inputs into a matlab block function that processes only one variable at a time? [closed]

Using SIMULINK, I wanted to optimize 2 variables with the ant colony optimization algorithm; which is written in a matlab function block, the function is of type function y = f (x) it has only one ...
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0answers
48 views

OpenRAVE “fast-forward” physics simulation?

I am working with OpenRAVE simulator and I am using ODE Physics (OpenRAVE plugin to support ODE). I have a robot in an environment and multiple other objects that are subject to the physics engine. I ...
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286 views

Inertia Tensors in 3D objects for robot dynamics

I'm trying to obtain the dynamics of a 6DOF robot. Firstly, I calculated the combined centres of mass (between each link and the respective actuator) in order to calculate the gravity term, since it ...
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0answers
908 views

Computation of Coriolis Matrix [closed]

I am controlling a 6-DOF robot. For this, I want to compute the Coriolis Matrix. From my study of examples, I understand there are several ways of going about it. At the moment, I am using the theory ...
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4answers
238 views

Why I'm getting very long terms in the inertia matrix (or dynamics model) of the robot using matlab script?

I'm working on the dynamics model of a RRRR articulated robot, I'm following Euler-Lagrange approach and developing my code in m-file in matlab; I'm looking for dynamic model of this form: $$ D(q) \...
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5answers
146 views

Why we want to write all linear system into form of first order differential equations?

It seems to be taken granted that when we deal with some control system, the first thing we want to do is to linearize the system and put it in form of first order differential equations like $\dot x =...
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2answers
466 views

Moment of Inertia of a Dumbbell

hope you are all doing well. I am taking a course at Coursera about Robotics and in one of the quizes, I had some problem with a particular question. I passed the quiz (4/5 correct answers), however I ...
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2answers
35 views

Can workspace of a manipulator change after considering its dynamics?

As per my knowledge, the workspace of a manipulator can be determined if one knows the forward and inverse kinematics. But is it possible that the workspace of the manipulator can change after ...
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1answer
56 views

Velocity-Control of a manipulator without a dynamic model

I have a five DoF robot. Each axis is connected to a cylinder. You can send PWM values to each cylinder and you are able to read out the position values of each cylinder which makes it possible to ...
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1answer
194 views

Why using screws instead of homogeneous transforms in kinematics and dynamics?

Can anyone give a justification for using screws (twists, wrenches) instead of the traditional approach (rotation matrices, homogeneous transforms)? Even if screws are more compact, the situation gets ...
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1answer
163 views

Joint torque sensor vs end-effector force sensor

I am trying to understand the difference between joint torque sensors, and force sensors, in a robot arm. From what I understand, joint torque sensors estimate the torque at each joint, whereas a ...
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3answers
315 views

Dynamic simulation of compliant elements in quadruped robot

I have a preliminary design for a legged robot that uses compliant elements in the legs and in parallel with the motors for energy recovery during impact as well as a pair of flywheels on the front ...
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1answer
45 views

How to find inertia parameter of payload automatically

I know of several robot manufacturers who can perform automatic inertial measurement for 6 axis robots. Fanuc, for example, moves with axes 5 and 6 each from +180 to -180 °, once with and once without ...
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1answer
47 views

Non-planar robot Dynamics error using Roy Featherstone's Spatial toolbox

I am using this code to test robot dynamics of above robot using Spatial Toolbox function: FDab(rob, [0;0;0], [0;0;0], [0;0;0]) %a_grav = [0,0,-9.81] But it ...
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2answers
141 views

Effiecient computation of coriollis matrix

I want to perform kinodynamic motion planning on a 6DoF hybrid manipulator. I calculated mass matrix, coriollis matrix etc using the lagrangian method. The coriollis matirx was calculated symbolically ...
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1answer
92 views

Quadrotor SE3 Controller: Calculating Rd_dot

I am trying to simulate and implement the controller in the paper Geometric Tracking Control of a Quadrotor UAV on SE(3). I have the dynamics implemented, however I am stuck at one part in the ...
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1answer
114 views

Urdf as a way to model dynamics?

Since urdf format serves the purpose of kinematic model but also extends for dynamical properties such as mass,moment of inertia and centre of masses, can it be considered a viable dynamical model of ...
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1answer
385 views

Robot with Double Integrator Model [duplicate]

Does the robot described by Double Integrator Model is holonomic ? Let's say we have a robot with dynamics described by equations \begin{cases} \dot x = v, & \\ \dot v = \frac {1}{m}u \end{...
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3answers
379 views

Second-order dynamical systems

I have been reading this paper (https://arxiv.org/pdf/1509.06113.pdf), which is about control of a robotic arm. They learn a mapping from robot state to robot control, where the state is the positions ...
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3answers
704 views

How to apply A bang-bang signal of amplitude 1 N and 1 s width as an input force to reproduce certain results in Matlab?

I working on dynamic modeling and simulation of a mechanical system (overhead crane), after I obtained the equation of motion, in the form: $$ M(q)\ddot{q}+C(q,\dot{q})\dot{q}+G(q)=Q $$ All the ...
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1answer
79 views

Jacobian of Euler's rotation equations

I propagate the attitude of a satellite in a free-floating, torque free environment from $t_k$ to $t_{k+1}$ by integrating Euler's equation of motion: $$ \dot{\omega} = [J]^{-1}([\omega]_{\times}[J]\:\...
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2answers
85 views

How to calculate potential enegy of manipulator dynamics?

I'm trying to obtain dynamics of a 4 DOF robot. Firstly, I calculated all Transformation matrices and Jacobians. While solving Lagrangian there is two main things one is kinetic energy and the other ...
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1answer
31 views

How to solve dynamics of cardan joint manipulator

We can use the Recursive Newton-Euler Algorithm to solve the dynamic problems of open chains manipulator, but how about the Cardan-joint manipulator? For example, if we have one Cardan joint (...
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1answer
78 views

Bullet vs SimMechanics: Inverse Dynamics and sensed forces/torques

This question may be a little broad, but I could not find any other information. How accurate are the inverse dynamics functions in SimMechanics compared to Bullet? How accurate are the sensed/...
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2answers
125 views

Dynamic model using identification for control

I'm currently working of a 5 DOF robot, for which i'd like to compute the dynamic model through identification. I have experimental data representing torques (inputs) and positions (outputs). How can ...
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1answer
331 views

6DOF Robot Dynamics from Newton-Euler Iterative Algorithm [closed]

I don't know if someone can help me with this but I'm calculating the dynamics of a 6DOF robot using the Newton-Euler iterative dynamics algorithm. I'm following the recursive method (inwards and ...
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1answer
74 views

PI with poor sampling rate

I have a 1-DOF electromechanical application whereby I am controlling the contact-force at the tip of the end-effector. The force sensor on the end-effector unfortunately gives me force data and an ...
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2answers
847 views

Estimating yaw angle and yaw rate for a frontal vehicle

I would like to know if it is possible (and if it is possible how can it be done) to estimate the yaw angle and yaw rate of a vehicle in front of me knowing the following information: -my speed (x,y,...
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1answer
221 views

Matlab: System simulation with dynamic state matrix / input matrix [closed]

I have the following system: $$\dot{x} = A(t)x+B(t)u$$ $$y = x$$ $A(t)$ and $B(t)$ are actually scalar, but time-dependent. If they would be constant, I could simulate the system in Matlab using: <...
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1answer
493 views

Converting a linear acceleration command into a DC motor command?

I'm constructing a 2 wheels balancing robot which uses a PID controller. I've tuned my parameters on numerical simulations based on a continuous inverted pendulum system so that the simulated ...
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0answers
27 views

Multidimensional obstacle avoidance in ODE. Part II

Multidimensional obstacle avoidance https://math.stackexchange.com/questions/4146255/multidimensional-obstacle-avoidance-in-ode For some time, I studied this question more closely and came to the ...
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0answers
26 views

Ground based path generation from RGBD camera

How does one generate a trajectory for a ground vehicle using an RGBD camera? For a drone it's simpler since you're not constrained by having to move on the ground but it's not clear to me how ...
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0answers
33 views

Moment of Inertia of a planar rotation link with a 6-DOF base

I'm interested in analytic calculation of a moment of inertia of a robot's arm in the following situation. Let us assume the following: Stationary reference frame $ \{b\} = \{X_B, Y_B, Z_B\}$ and ...
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0answers
24 views

Determination of the operational space dynamic model (Task space)

I am trying to implement a hybrid Force/Motion controller for a quadruped. To do that I first need the Inverse Dynamic Model of the robot in Operational Space. I found a lot of resources on how to ...
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0answers
83 views

4 wheeled differential wheeled (skid-steer) robot steering problem

My question is about a square shaped differential wheeled robot, I built, that has a hub-motor (BLDC motor) attached to each corner, i.e., the wheels on the same side, either left or right, have the ...
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0answers
51 views

Determine moments of inertia of a tool experimentally

I've mounted a broom as an effector of the Kuka IIWA. I've configured a tool in the Kuka Sunrise Workbench software with approximative mass and center of gravity. However, when control is started with ...
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0answers
101 views

How to interpret and apply results from Inverse Dynamics

I am applying Recursive Newton Euler Inverse Dynamics to a simple two link model. If I apply the result torques and forces using PhysX or Bullet Physics I get unexpected results. The model spins and ...
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0answers
60 views

Theory behind wheeled inverted pendulum robots [closed]

I'm trying to get a deeper understanding of the theory behind wheeled self-balancing robots. Can anyone point me to a text on dynamic modelling and control theory that might help?
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0answers
80 views

Torque control in eye-in-hand visual servoing

In most papers about IBVS the camera velocity is computed and then used as a pseudo-input for the manipulator. (e.g. this one) Is there any work in which the dynamic Lagrange model $H(q) \ddot q +C(q,\...
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0answers
169 views

Dynamics of parallel manipulator

My task is to apply forces to control 3-dof parallel manipulator. Forces are applied to linear actuators, friction is neglected. End-effector of a robot is supposed to follow generated path; for ...