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33 results about "Unscented transform" patented technology

The unscented transform (UT) is a mathematical function used to estimate the result of applying a given nonlinear transformation to a probability distribution that is characterized only in terms of a finite set of statistics. The most common use of the unscented transform is in the nonlinear projection of mean and covariance estimates in the context of nonlinear extensions of the Kalman filter. Its creator Jeffrey Uhlmann explained that "unscented" was an arbitrary name that he adopted to avoid it being referred to as the “Uhlmann filter.”

State estimation method based on high-order unscented Kalman filtering

The invention relates to a state estimation method based on high-order unscented Kalman filtering. A high-order unscented Kalman filter is used for finishing the state estimation task in the target tracking process. According to the state estimation method based on the high-order unscented Kalman filtering, the state estimation task in the target tracking process is finished by the high-order unscented Kalman filter. In the target tracking process, the state equation and the measurement equation of target tracking are established; a sigma point required for the target tracking filter is obtained by high-order unscented transformation, and the weight of the sigma point is calculated; and the state estimation is obtained by iterating the sigma point and the weight of the sigma point to realize the real-time tracking of the target. The tracking precision of the state estimation method is higher than those of the existing target tracking methods based on other filters, a proper performance parameter k is selected to further improve the precision of the proposed high-order unscented Kalman filtering (UKF) target tracking method, and the high-precision real-time tracking to the target is realized. The state estimation method disclosed by the invention is applied to the technical field of the target tracking.
Owner:HARBIN ENG UNIV

Self-contained navigation method for measurement of earth ultraviolet sensor

The invention relates to a self-contained navigation method for measurement of an earth ultraviolet sensor, which comprises the following steps of: initializing: utilizing satellite injection information to supply a state initial value and a covariance initial value outlier of a satellite at a starting moment, accumulating geocentric vector information and earth apparent radius information obtained by the ultraviolet sensor for a specified period of time, and then utilizing an outlier eliminating algorithm to eliminate the outlier in the information; batch processing: performing a least square method on the geocentric vector information and the earth apparent radius information after the outlier is eliminated, and calculating a state estimation Xk and a covariance estimation Pk of the satellite at an ending moment of observation; unscented transformation: utilizing the unscented transformation to realize the time updating of the state and the covariance, obtaining a state forecast X(k+1) and covariance forecast P(k+1) of the satellite at the next ending moment of observation; and recursion: continuously accumulating the geocentric vector information and the earth apparent radius information for a period of time, and repeating the steps and performing continuous recursion and calculation, thereby continuously obtaining the estimation of the state of the satellite. According to the method, the precision and the stability of a navigation system are increased.
Owner:BEIJING INST OF CONTROL ENG

Robot pose positioning method and system

The invention discloses a robot pose positioning method and a system, and relates to the field of robot positioning, wherein the method comprises the following steps of: acquiring IMU odometer data asa local reference system, acquiring a pose state vector and a covariance matrix at the previous time according to the local reference system, sampling the pose state vector at the previous time, performing unscented transformation to sampling points, predicting the pose state vector and the covariance matrix at the previous time subjected to unscented transformation by using a system model to obtain a prediction value at the current time, carrying out filtering treatment to the prediction value at the current time according to the actual measurement value to obtain the relative pose measurement value at the current time; after filtering, obtaining the global pose estimation at the current time according to the relative pose measurement value at the current time through coordinate transformation; and carrying out robot pose positioning according to the global pose estimation value at the current time. The unscented Kalman filter algorithm is combined with IMU odometer data and actual measurement values collected by GPS satellites or vision systems to obtain global pose estimation values, which are robust to complex environments and improve positioning precision.
Owner:SHENZHEN GRADUATE SCHOOL TSINGHUA UNIV

Underwater robot monocular vision positioning method

ActiveCN105890589AMake up for the defect that only the position information can be estimatedNavigational calculation instrumentsPhotogrammetry/videogrammetryGyroscopeState vector
The invention provides an underwater robot monocular vision positioning method. A Doppler instrument and a gyroscope are combined o measure the linear speed and the angular speed of an underwater robot under a load system, and a state equation is obtained; four known static feature points of coordinates under an overall system are obtained, the positions of the feature points under an image system are obtained according to coordinate system changes, and a measuring equation is obtained; the state vector at the k-1 time and a covariance matrix of the state vector are known, and a Sigma point is obtained through an Unscented transform method; the measuring value at the k time is estimated through time update again; the Doppler instrument and the gyroscope are combined to measure the linear speed and the angular speed of an aircraft under the load system and the positions of the feature points under the overall system under the image system, the measuring value at the k time can be obtained, the state vector of the k time is estimated through measurement update, and a covariance matrix of the state vector at the k time is obtained. The limitation that layout of feather points in a geometric method must meet specific conditions is broken through, the defect that EKF filter can only estimate position information is overcome, and position information and the euler angle can be estimated at the same time.
Owner:NORTHWESTERN POLYTECHNICAL UNIV

Rotational speed estimation method for bearingless asynchronous motor

The invention discloses a rotational speed estimation method for a bearingless asynchronous motor. The method includes: according to a mathematical model of the asynchronous motor, establishing a system state equation and an observational equation; determining a covariance matrix of the system noise and the observation noise and a covariance initial matrix of the error of estimation; generating 2N+1 sigma points and the corresponding power values through unscented transformation and then calculating the further predictive value of a set of the points; calculating the further predictive value of the system state quantity and the covariance and the predictive observed quantity; and acquiring the mean value and the covariance through the weighted sum; calculating kalman gain matrix and status update and covariance update. This new kalman filtering algorithm spreads the statistical property of the stochastic process through the sampling point instead of utilizing first order linearization method in EKF, therefore, this algorithm has higher estimation precision. Besides, the attenuation factor is introduced when the prior error is calculated, which makes the filter much more relies on the measurement value in the estimation process, the influence of the state estimation uncertainty is reduced and the robustness of the system is enhanced.
Owner:江阴智产汇知识产权运营有限公司

Satellite sensor gyroscope combined attitude determination method, combined attitude determination system and application

PendingCN113074753AEnsure Satellite AttitudeImprove efficiencyMeasurement devicesGyroscopeState prediction
The invention belongs to the technical field of satellite attitude determination, and discloses a satellite sensor and gyroscope combined attitude determination method, a combined attitude determination system and application, and the method comprises the following steps: calculating a satellite attitude at a current moment k through an attitude estimation result of filtering at a k-1 moment and a satellite angular velocity measured by a gyroscope; performing unscented transformation on the mean value of the satellite attitude errors to obtain a sampling point; constructing a nonlinear system equation, performing nonlinear state updating on the sampling point, and performing cholesky updating to obtain a state prediction mean value and a variance square root; constructing a linear measurement equation, and performing linear measurement updating according to the predicted attitude error mean value; using Kalman filtering to fuse observation information and a predicted value to estimate an attitude error; and compensating the attitude estimation result by using the attitude error. According to the method, linear measurement updating is used for replacing nonlinear measurement updating of the system in combination with an application scene determined by the attitude, so that the calculation amount of the SRUKF is reduced, and the filtering efficiency can be improved.
Owner:南京天巡遥感技术研究院有限公司 +1

Self-contained navigation method for measurement of earth ultraviolet sensor

The invention relates to a self-contained navigation method for measurement of an earth ultraviolet sensor, which comprises the following steps of: initializing: utilizing satellite injection information to supply a state initial value X~1 and a covariance initial value P~1 outlier of a satellite at a starting moment, accumulating geocentric vector information and earth apparent radius information obtained by the ultraviolet sensor for a specified period of time, and then utilizing an outlier eliminating algorithm to eliminate the outlier in the information; batch processing: performing a least square method on the geocentric vector information and the earth apparent radius information after the outlier is eliminated, and calculating a state estimation X`k and a covariance estimation Pk of the satellite at an ending moment of observation; unscented transformation: utilizing the unscented transformation to realize the time updating of the state and the covariance, obtaining a state forecast X~(k+1) and covariance forecast P~(k+1) of the satellite at the next ending moment of observation; and recursion: continuously accumulating the geocentric vector information and the earth apparent radius information for a period of time, and repeating the steps and performing continuous recursion and calculation, thereby continuously obtaining the estimation of the state of the satellite. According to the method, the precision and the stability of a navigation system are increased.
Owner:BEIJING INST OF CONTROL ENG

A Linear Extension Method for Multilayer Unscented Kalman Filters with Higher Order Moment Matching

The invention discloses a multilayer linear-extension unscented Kalman filter method using higher-order moment matching, belonging to the technical field of nonlinear filtering. The method comprises the following steps: 1, establishing a state equation and a measurement equation of a nonlinear system; 2, determining an initial state value of the system; 3, based on the state estimation and the state equation of the last step, calculating distribution characteristics of random variables of one-step state prediction by using linear-extension unscented transformation; 4, calculating distribution characteristics of random variables after being transformed by the measurement equation, of state prediction by using the linear extension unscented transformation; 5, calculating distribution characteristics of an optimal state by using a Kalman gain in combination with state prediction and actual measurement data; and 6, judging whether the iteration is ended. According to the linear extension method, orthogonally-symmetric samples and a multi-sampling structure are combined by using a proportion modifying idea, and by matching more high-order moments, the approximation accuracy is remarkably improved, the computation complexity is reduced, and the computation efficiency is greatly increased.
Owner:CHONGQING INST OF GREEN & INTELLIGENT TECH CHINESE ACADEMY OF SCI

Phase noise compensation method, module and system of CO-FBMC system

The invention discloses a phase noise compensation method, module and system of a CO-FBMC system, and belongs to the field of optical communication. The compensation method comprises the following steps: performing first unscented transformation on posterior estimation of phase noise at a previous moment to obtain an initial Sigma point set, approximating a priori estimation value of the phase noise at the current moment according to the initial Sigma point set, performing second unscented transformation on the priori estimation value to obtain a multiplied Sigma point set, substituting the multiplied Sigma point set into a nonlinear equation for iteration, and obtaining a multiplied Sigma point set; and solving to obtain an estimated mean value and a covariance of the FBMC symbol at the current moment, calculating a Kalman gain matrix according to the estimated mean value and the covariance, and obtaining a posteriori estimated value of the phase noise at the current moment according to the Kalman gain matrix. The invention also provides an unscented Kalman filter compensation module and a CO-FBMC system. According to the method, a nonlinear equation does not need to be approximated to a linear equation, and the method has higher phase noise tolerance under the same precision. Meanwhile, a Jacobian matrix does not need to be solved, and the calculation amount is greatly reduced.
Owner:HUAZHONG UNIV OF SCI & TECH

Robot pose positioning method and system

The invention discloses a robot pose positioning method and system. It relates to the field of robot positioning, wherein, the method collects IMU odometer data as a local reference system, obtains a previous moment pose state vector and a previous moment covariance matrix according to the local reference frame, and samples the last moment pose state vector, And perform unscented transformation on the sampling points, use the system model to predict the unscented transformed pose state vector and the covariance matrix at the previous moment to obtain the predicted value at the current moment, and combine the actual measured value to predict the predicted value at the current moment The filtering process obtains the relative pose measurement value at the current moment. After the filtering, the estimated value of the global pose at the current moment is obtained through coordinate transformation according to the measured value of the relative pose at the current moment, and the robot pose is positioned according to the estimated value of the global pose at the current moment. Using the unscented Kalman filter algorithm combined with the IMU odometer data and the actual measurement value collected by the GPS satellite or the vision system to obtain the global pose estimation value, which is robust to complex environments and improves the positioning accuracy.
Owner:SHENZHEN GRADUATE SCHOOL TSINGHUA UNIV

A Simultaneous Localization and Mapping Method under the Framework of Stochastic Finite Sets

The invention discloses a synchronous positioning and map constructing method under a random finite set framework, and the method is applied to the field of mobile robot environment perception and composition. The method is mainly characterized in that: a random finite set theory is utilized to model an SLAM problem, both sensor observation information and an environment map are expressed in a random finite set form, and a plurality of kinds of uncertain information are completely described; after Rao-Blackwellised decomposition is carried out on SLAM total probability distribution, unscented transformation is introduced, and a proposal distribution function of particle filtering used for robot state estimation is generated by UKF, and when environment map PHD function filtering is realized by a Gaussian mixture model, the UKF is fused with the observation information to realize the updating of Gaussian members; and finally, in order to prevent the calculation amount of the algorithm to rapidly rise along with the iteration process, merging and pruning mechanisms of the Gaussian members are introduced, and the calculation amount of the algorithm is controlled in a reasonable range. According to the invention, the estimation precision and robustness of the system in a non-linear non-Gaussian problem processing process are effectively improved.
Owner:SHANXI UNIV

State estimation method based on high-order unscented Kalman filtering

The invention relates to a state estimation method based on high-order unscented Kalman filtering. A high-order unscented Kalman filter is used for finishing the state estimation task in the target tracking process. According to the state estimation method based on the high-order unscented Kalman filtering, the state estimation task in the target tracking process is finished by the high-order unscented Kalman filter. In the target tracking process, the state equation and the measurement equation of target tracking are established; a sigma point required for the target tracking filter is obtained by high-order unscented transformation, and the weight of the sigma point is calculated; and the state estimation is obtained by iterating the sigma point and the weight of the sigma point to realize the real-time tracking of the target. The tracking precision of the state estimation method is higher than those of the existing target tracking methods based on other filters, a proper performance parameter k is selected to further improve the precision of the proposed high-order unscented Kalman filtering (UKF) target tracking method, and the high-precision real-time tracking to the target is realized. The state estimation method disclosed by the invention is applied to the technical field of the target tracking.
Owner:HARBIN ENG UNIV

A Speed ​​Estimation Method of Bearingless Asynchronous Motor

The invention discloses a rotational speed estimation method for a bearingless asynchronous motor. The method includes: according to a mathematical model of the asynchronous motor, establishing a system state equation and an observational equation; determining a covariance matrix of the system noise and the observation noise and a covariance initial matrix of the error of estimation; generating 2N+1 sigma points and the corresponding power values through unscented transformation and then calculating the further predictive value of a set of the points; calculating the further predictive value of the system state quantity and the covariance and the predictive observed quantity; and acquiring the mean value and the covariance through the weighted sum; calculating kalman gain matrix and status update and covariance update. This new kalman filtering algorithm spreads the statistical property of the stochastic process through the sampling point instead of utilizing first order linearization method in EKF, therefore, this algorithm has higher estimation precision. Besides, the attenuation factor is introduced when the prior error is calculated, which makes the filter much more relies on the measurement value in the estimation process, the influence of the state estimation uncertainty is reduced and the robustness of the system is enhanced.
Owner:江阴智产汇知识产权运营有限公司

Maneuvering target tracking method and device and computer readable storage medium

The invention discloses a maneuvering target tracking method and device and a computer readable storage medium, and the method comprises the steps: constructing a minimum fuzzy error entropy criterion based on a fuzzy membership degree of an index representing the influence of different error samples on a state estimation result; obtaining state and prior estimation of the corresponding covariance by using an unscented transformation framework, and observing and prior estimation of the corresponding covariance; constructing a linear regression model based on state and prior estimation of corresponding covariance, observation and prior estimation of corresponding covariance, and obtaining error information through system reconstruction; based on a minimum fuzzy error entropy criterion and error information, a posteriori estimate of the state and the corresponding covariance is calculated. Through the implementation of the method, the fuzzy membership degree is introduced to adaptively adjust the weight and derive the minimum fuzzy error entropy unscented filtering model according to different error sample conditions, and a nonlinear system under a complex non-Gaussian noise signal shows good estimation performance, has a good target tracking effect and shows relatively high stability.
Owner:SHENZHEN UNIV

A Monocular Vision Positioning Method for Underwater Robot

ActiveCN105890589BMake up for the defect that only the position information can be estimatedNavigational calculation instrumentsPhotogrammetry/videogrammetryGyroscopeSigma point
The invention provides an underwater robot monocular vision positioning method. A Doppler instrument and a gyroscope are combined o measure the linear speed and the angular speed of an underwater robot under a load system, and a state equation is obtained; four known static feature points of coordinates under an overall system are obtained, the positions of the feature points under an image system are obtained according to coordinate system changes, and a measuring equation is obtained; the state vector at the k-1 time and a covariance matrix of the state vector are known, and a Sigma point is obtained through an Unscented transform method; the measuring value at the k time is estimated through time update again; the Doppler instrument and the gyroscope are combined to measure the linear speed and the angular speed of an aircraft under the load system and the positions of the feature points under the overall system under the image system, the measuring value at the k time can be obtained, the state vector of the k time is estimated through measurement update, and a covariance matrix of the state vector at the k time is obtained. The limitation that layout of feather points in a geometric method must meet specific conditions is broken through, the defect that EKF filter can only estimate position information is overcome, and position information and the euler angle can be estimated at the same time.
Owner:NORTHWESTERN POLYTECHNICAL UNIV
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