7

Proportional term: this controls how quickly to turn the steering when the heading is not at the set value. A low P will lead to sluggish steering, reacting only slowly to set heading changes. It may never reach the commanded value. A higher P will give a snappier response, ideally with the steering turning rapidly and smoothly to follow commanded heading ...


7

Robots with two opposing wheels and usually a castor wheel for balancing reasons (no motor attached) are called Differential Drive Robots.


5

Are there any issues with this? The main issue with this is that while your proposed solution will instantaneously correct for a mismatch between the performance of the motors, it will not correct for accumulated error, let alone more complex errors in position such as Abbe error (see later). What is a better approach? There are several things you can ...


4

At first, I did not go trough your code to check for errors in the formulas but from a high level perspective this seems ok. Therefore, your position controller is fine. What you lack is a lowlevel controller for the PWM signal. This controller should take the error of w_l - e.g. e_w_l - and w_r and provide a duty cycle accordingly. For that you should ...


3

Your instincts are correct if you are talking about rotating both wheels forward (or reverse) with the same rotational speed. In that case, the robot would move linearly forward (or backward), just as you describe. The drawings at the link you provide seem to support this. However, this analysis is different from what the text describes. I think the ...


3

A few things: I took a look at your data set. Did you make sure you used the time column correctly? The first entry is "1429481388546050050" without the decimal. To make it in seconds, it should be 1429481388.546050050. Your motion model is fine (I've used it before, for people who want to see it derived, it is very similar to this one). However, to avoid ...


3

I would add a few lines after you check that theta is between +/- 2pi: meanDistance = (SL + SR)/2; posX = posX + meanDistance*cos (theta); posY = posY + meanDistance*sin(theta); This of course assumes theta is positive CCW starting from the +x-axis. This is similar but not the same as your code for X and Y, but your code appears to put the X origin on the ...


3

To append Demetris answer, if it has tank-like treads or even 4 fixed wheels, then you can also call it a skid steer vehicle.


3

OK. as drawn, ignoring mass and accelerations, the force $F_p$ will appear as a torque on your ball screw. However, the total force on the ball screw, and hence the torque, depends on the mass of the thing you're moving with the ball screw interacting with gravity (if it's being moved in anything other than a horizontal plane), and on whether or not the ...


2

I have a bot with 2 independently driven wheels. I chose to use a gyro to keep it heading in the desired direction, bumps slippage and even picking it up and turning it around are of little consequence to it as it will just correct it's heading. I use a single PID, which adds/subtracts a correction to the desired current speed for each of the 2 motors in ...


2

You aren't properly mapping your steering value to the wheel speeds. In fact, I don't think you're applying the PID correctly at all. From your code, my guess is that you're using get_segment_center to determine the adjustment that you need to make. My assumption is that this describes a distance measurement of how far the line sensor is off of the ...


2

Pure pursuit is the standard method for following a trajectory with a differential drive (or ackerman steering) robot. It is a very simple technique. You should be able to search for it and find some (very old) papers describing it.


2

At the foundation of PID control, there is the assumption that the quantity you are measuring (and using to compute your error) has a direct linear relationship with the quantity you are controlling. In practice, people frequently bend this rule without things going horribly wrong. In fact this resiliency to modeling error--when our assumptions (our "model")...


2

In order to do this, you need to have something on the robot that can intercept your "single joystick" signal from the remote control and translate it to left/right wheel speeds. Your arduino might be able to serve this purpose, with the appropriate shield. For that calculation, check out this question on calculating left and right motor speeds based on ...


2

To make compatible gears, you need to match the pitch and shape of the teeth. First, check out this wiki article about gears and especially the image about nomenclature, so you have a good idea of the names for things: You first need to determine the pitch of the gear you want to match, the 8-tooth gear. If it has a diameter of say 10 mm, then take the ...


2

Kinematics of mobile robots For the figure on the left: I = Inertial frame; R = Robot frame; S = Steering frame; W = Wheel frame; $\beta$ = Steering angle; For the figure on the right: L = Distance between the wheels; r = radious of the wheel; Now we can derive some useful equations. Kinematics: $\hspace{2.5em}$ $\vec{v}_{IW} = \vec{v}_{IR} + \vec{\...


2

Thanks for the update. Now it looks like $x_c$ and $y_c$ denote the origin/starting position, and $\theta$ is positive, measured CCW from the positive x-axis. Now I am even more concerned about the equations you're using. Consider just $x$. You have: $$ x_k = x_{k-1} - \frac{v}{\omega} \sin{(\theta)} + \frac{v}{\omega} \sin{(\theta + \omega \Delta t)} $$ ...


2

The short answer is that the equations/models for these different vehicle should be different but there is no value in using more accurate equations. All these equations are approximations that make assumptions about how the ground and wheels/tracks interact. If there is 2 wheels and no slipping of the wheels on the ground, then the equation is reasonably ...


2

Your linear velocity should be the average of both wheel values. Assuming there's some wheel radius of WHEEL_RADIUS, as you've stated, then you should get each wheel speed as: left_velocity = left_rpm * (RPM_TO_RAD_PER_S * DIST_PER_RAD); right_velocity = right_rpm * (RPM_TO_RAD_PER_S * DIST_PER_RAD); linear_velocity = 0.5f * (left_velocity + right_velocity);...


1

OK, I'm going to work on the assumption that you are trying to calculate the Instantaneous Centre of Curvature, and that the values of $R$ and $\theta$ that you have been given are the distance from the ICC to the mid-point of the wheel axle and the direction of travel relative to the x-axis. That should correspond with the diagram below, taken from ...


1

The answer is very simple; Steer drive is what you know from a car where one motor powers both the wheels (either the front or the rear wheels) and then steering is achieved by turning the front wheels right or left. Differential drive means having two motors, one that powers all wheels (or the track) on the right side and one that powers all wheels on the ...


1

You can alter the C code structure in the Controller, so that the code you want to test is indepencent from platfrom specific code. (You can only test the platform independent code using Software in the Loop anyways.) I am not sure what ways are available in C in order to achive this, but all inversion of control methods, e.g. Dependency injection, have ...


1

1) Load or import the data that is in your xlsx files into w1 and w2, by using importdata as an array of values. 2) Write a for loop for extractting individual values from w1 and w2, to perform the necessary computation.


1

The inputs needed for the function are objects of the structures R and ENC. The member variables are clearly specified in the description. Declare and initialize these values before calling the function. That should solve your problem. learn more about structures in Matlab and how to initialize one here: https://in.mathworks.com/help/matlab/ref/struct.html ...


1

Yes, I have experienced this. Wheel encoders are great for a second to second hint for an ekf predict step, but are generally awful for long term, long distance prediction. Odometery and imu can do better, but both are integrators and will accumulate error quickly. Add GPS, terrain features, or other global estimates for a real solution.


1

You named a question "Standard equation for steering differential drive robot", so instead of going deep into your code, I'll try to give you a simple example, how can you steer a differential drive robot. Assumption: joystick steering - two input variables, throttle (forward speed) and steering. It would be easiest if they change from -255 (full revesre/...


1

Well, if it is truly a caster wheel with two differential drives, then I'd just assume that the castor is not a constraint at all! It's a freely rotating wheel that should just follow the direction of motion induced by rotating the differential wheels. In that case, you can use this answer.


1

Someone please check my math here, but the wheel encoder value $\theta$ is not a continuous random variable -- it can't have a variance. You might get a more reasonable continuous random variable in the form of the estimated total linear distance. In that case, the main source of variance in your encoder measurement is going to be the difference between ...


1

To estimate the first three parameters (distance between wheels and distance per encoder tick of both left and right wheels) I made a calibration pattern on the ground as shown in the image: (this shape was chosen because it's easy to make using tape measure and a string) Then I will manually drive the robot along the path in a ABCDBCA pattern as precisely ...


1

It depends on what transmitter you use, but I would try to find settings for channel mixing on it. You should mix +throttle input to +left and +right output and + turn to -right and +left.


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