Kalman Filter with same A, B and C, D matrices
$begingroup$
I am trying to work on a toy problem of EKF which consists of a Kinematic Model of a bicycle. The model is as follows:Kinematic Model
I have linearized the model with inputs as u and delta_f(steering angle)
I am considering the available measurements are x_dot, y_dot and psi_dot
I am confused how to include the measurement model? Will it be same as the process model? This will make the system unobservable but I believe it will be detectable.
I am trying to perform full state estimation using EKF.
Any inputs will be valuable.
estimation kalman-filter
$endgroup$
add a comment |
$begingroup$
I am trying to work on a toy problem of EKF which consists of a Kinematic Model of a bicycle. The model is as follows:Kinematic Model
I have linearized the model with inputs as u and delta_f(steering angle)
I am considering the available measurements are x_dot, y_dot and psi_dot
I am confused how to include the measurement model? Will it be same as the process model? This will make the system unobservable but I believe it will be detectable.
I am trying to perform full state estimation using EKF.
Any inputs will be valuable.
estimation kalman-filter
$endgroup$
add a comment |
$begingroup$
I am trying to work on a toy problem of EKF which consists of a Kinematic Model of a bicycle. The model is as follows:Kinematic Model
I have linearized the model with inputs as u and delta_f(steering angle)
I am considering the available measurements are x_dot, y_dot and psi_dot
I am confused how to include the measurement model? Will it be same as the process model? This will make the system unobservable but I believe it will be detectable.
I am trying to perform full state estimation using EKF.
Any inputs will be valuable.
estimation kalman-filter
$endgroup$
I am trying to work on a toy problem of EKF which consists of a Kinematic Model of a bicycle. The model is as follows:Kinematic Model
I have linearized the model with inputs as u and delta_f(steering angle)
I am considering the available measurements are x_dot, y_dot and psi_dot
I am confused how to include the measurement model? Will it be same as the process model? This will make the system unobservable but I believe it will be detectable.
I am trying to perform full state estimation using EKF.
Any inputs will be valuable.
estimation kalman-filter
estimation kalman-filter
edited Feb 1 at 18:54
controlsgeek
asked Feb 1 at 18:48
controlsgeekcontrolsgeek
12
12
add a comment |
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3096593%2fkalman-filter-with-same-a-b-and-c-d-matrices%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3096593%2fkalman-filter-with-same-a-b-and-c-d-matrices%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown