CN109541533A - A kind of RFID label tag indoor tracking method and equipment based on Unscented kalman filtering - Google Patents

A kind of RFID label tag indoor tracking method and equipment based on Unscented kalman filtering Download PDF

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CN109541533A
CN109541533A CN201811416628.4A CN201811416628A CN109541533A CN 109541533 A CN109541533 A CN 109541533A CN 201811416628 A CN201811416628 A CN 201811416628A CN 109541533 A CN109541533 A CN 109541533A
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target labels
kalman filtering
unscented kalman
rssi
observation
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胡静
宋铁成
杨丽
徐洁
夏玮玮
燕锋
沈连丰
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Southeast University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S5/00Position-fixing by co-ordinating two or more direction or position line determinations; Position-fixing by co-ordinating two or more distance determinations
    • G01S5/02Position-fixing by co-ordinating two or more direction or position line determinations; Position-fixing by co-ordinating two or more distance determinations using radio waves
    • G01S5/0294Trajectory determination or predictive filtering, e.g. target tracking or Kalman filtering
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C21/00Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00
    • G01C21/20Instruments for performing navigational calculations
    • G01C21/206Instruments for performing navigational calculations specially adapted for indoor navigation

Abstract

The invention discloses a kind of RFID label tag indoor tracking method and equipment based on Unscented kalman filtering, belong to Internet of Things technical field of RFID, this method comprises: initially setting up the state model and observation model of target labels movement, and the Nonlinear Mapping relationship of tag signal strength RSSI and distance are constructed by off-line training;Then according to constructing objective function after the RSSI estimated distance of target labels, and the observation vector of acquisition system is solved to objective function by particle group optimizing;To filtering before being carried out again by Unscented kalman filtering to observation vector;Finally smoothly the track after the completion of filtering is smoothed with segmentation RTS.The present invention improves the precision of systematic observation vector by way of non-linear support vector regression and particle group optimizing, and smoothly track is carried out smoothly by Unscented kalman filtering and segmentation RTS on this basis, the error for reducing movement objective orbit tracking, greatly improves the precision of track following.

Description

A kind of RFID label tag indoor tracking method and equipment based on Unscented kalman filtering
Technical field
The radio frequency knowledge based on Unscented kalman filtering (Unscented Kalman Filter, UKF) that the present invention relates to a kind of Not (Radio Frequency Identification, RFID) label indoor tracking method and equipment, belong to Internet of Things radio frequency Identification technology field.
Background technique
Radio frequency identification is a kind of automatic identification technology of wireless communication, it completes Item Information using radio frequency signal The advantages that acquisition and transmission have non line of sight, non-contact, at low cost, strong environmental adaptability, is widely used in ceasing with life Cease relevant materials supply chain, material flow tracking, communications and transportation, access control, the fields such as Workshop Production.RFID system passes through read-write Communication between device and electronic tag can carry out information data collection to object, provide for upper layer application and accurately and effectively count According to support.RFID locating and tracking technology carries out object to be measured using the bidirectional data exchange between reader and electronic tag Positioning and tracking, the location information of article is got while obtaining article ID, becomes the research hotspot of indoor positioning technologies.
Most common technology is GPS positioning by satellite positioning in outdoor positioning tracking at present.But ring indoors In border, due to building construction complexity, satellite-signal decaying is caused even to be lost, and indoor spaces limited area, so defending Star communication is unable to satisfy the high-precision demand of indoor positioning tracking.More commonly used technology is infrared in positioning indoors at present Line, ZigBee, Wi-Fi, RFID etc..Wherein, RFID location technology is that have at low cost, strong environmental adaptability, Ke Yi The advantages that reaching higher positioning accuracy in the very short time, therefore RFID location technology is got growing concern for.RFID Positioning can be applied to item tracking, such as warehouse logistics, workshop inspection etc., can be used for personnel positioning such as mine staff Tracking, the elderly's tracking, hospital patient management etc..Frequency recognition positiming method can be divided into location algorithm and non-ranging algorithm. The essence of location algorithm is that the orientation or distance between measurement label and reader are positioned, the ranging side that each algorithm uses Method is different, such as TOA, TDOA, AOA, RSSI etc..Range-free localization algorithm is based on scene analysis method.For example, VIRE method Reference label is introduced, but the density of positioning accuracy and reference label is closely related, the bigger position error of density is smaller, still When density is excessive, the interference of signal can be generated between label again, leads to the information collected inaccuracy, positioning accuracy is not high.
Summary of the invention
Goal of the invention: in view of the above shortcomings of the prior art, the object of the present invention is to provide one kind to be based on Unscented kalman The RFID label tag indoor tracking method and equipment of filtering, this method carry out off-line training using non-linear support vector regression, lead to The observation vector that population iteration obtains system is crossed, then observation vector is filtered by Unscented kalman filtering, finally It is smoothed with the track that RTS completes filtering, effectively improves indoor tracking precision.
Technical solution: to achieve the above object, the technical solution adopted by the present invention are as follows:
A kind of RFID label tag indoor tracking method based on Unscented kalman filtering, this method comprises the following steps:
(1) according to the motion state of target labels, the state model x of system is establishedk+1=f (xk)+WkWith observation model zk =h (xk)+Vk;Wherein subscript k indicates moment, xkThe state vector of expression system, including target labels in the position of x-axis direction And speed and target labels are in the position and speed in y-axis direction;zkThe observation vector of expression system, f indicate nonlinear state Equation functions, h indicate non-linear observation equation functions, WkIndicate zero-mean, the process noise that covariance matrix is Q, VkIndicate zero Mean value, the observation noise that covariance matrix is R;
(2) RSSI for being evenly distributed on indoor reference label and reference label are passed through at a distance from reader non-linear SVR is trained, and constructs the Nonlinear Mapping relationship of RSSI and distance;
(3) RSSI of the target labels at current time is obtained, according to the Nonlinear Mapping relationship that step (2) construct, estimation Distance between target labels and reader out, building calculate the Nonlinear System of Equations of target labels position, and by nonlinear equation Group Solve problems are converted into the optimization problem of objective function, are solved by particle group optimizing to objective function, obtain current time Target labels observation coordinate;
(4) to filter before being carried out by observation track of the Unscented kalman filtering algorithm to the target labels before current time Wave;
(5) to smooth after carrying out to filtered track, smoothed out track is the indoor tracking track of target labels.
In preferred embodiments, in the step (1) system state vector are as follows: xk=[pxk vx(k) pyk vy(k)]T;Wherein, pxkIt is target labels in the position of x-axis direction, vx(k)Speed for target labels in x-axis direction, pykFor mesh Mark position of the label in y-axis direction, vy(k)Speed for target labels in y-axis direction;
The nonlinear state function of system is related with the motion state of system;For the target labels of uniform motion, system State model are as follows:T is sampling time interval;
For the target labels at the uniform velocity turned, the state model of system are as follows:Wherein T is sampling time interval, and ω is turning rate;
The observation model of system are as follows:
In preferred embodiments, step (2) specifically includes:
(2.1) reference is established according to the signal strength indication RSSI for being evenly distributed on indoor reference label that reader obtains The RSSI matrix of label;The distance matrix of reference label is established according to the distance between reference label and reader;
(2.2) using the RSSI of reference label as the input value of sample, using the distance of reference label as the expectation of sample Output valve, the RSSI of reference label are trained with apart from one-to-one correspondence by non-linear SVR;
(2.3) it according to the training result of non-linear SVR, establishes non-thread between input signal strength RSSI and output distance Property mapping relations.
In preferred embodiments, the Nonlinear System of Equations in step (3) are as follows:
Wherein, diIt is the distance between the target labels estimated and i-th of reader, (x, y) is target labels coordinate, (Xi,Yi) be reader position coordinates, i ∈ (1, M);M is the number of reader.
In preferred embodiments, the objective function of the particle group optimizing in step (3) are as follows:
In preferred embodiments, the step of Unscented kalman filtering in the step (4) includes:
(4.1) the system mode x at k momentkIt is converted using UT and obtains Sigma point, and obtained using ratio amendment sampling policy Take the corresponding mean value weight of Sigma pointAnd variance weight
(4.2) the one-step prediction X of Sigma point is calculatedi,k+1/k=f (xi,k), and the estimated value of system state amount is calculatedAnd error co-variance matrixWherein n is system mode vector Dimension;
(4.3) the Sigma point of prediction is substituted into the observed quantity Z that observational equation calculates predictioni,k+1/k=h (Xi,k+1/k), and count It calculates and obtains the predicted value of systematic perspective measurementAnd covariance, and according to the covariance of system prediction value Calculate Kalman gainWherein:
(4.4) the observation vector z of subsequent time is utilizedk+1It is updated, obtains estimated value last in recursive processAnd varianceTarget after obtaining filtering estimation Position.
In preferred embodiments, backward smoothly smooth using segmentation RTS in the step (5), by label The whole process of movement is divided into multistage, and every section gradually reverse smooth.
A kind of computer equipment that another aspect of the present invention provides, including memory, processor and storage are on a memory And the computer program that can be run on a processor, based on nothing described in realization when the computer program is loaded on processor The RFID label tag indoor tracking method of mark Kalman filtering.
The utility model has the advantages that compared with the prior art, the advantages of the present invention are as follows: in RFID label tag room according to the present invention with Track method is effectively improved using the signal strength indication of non-linear support vector regression label with apart from off-line training is carried out The precision of RSSI ranging, according to objective function is constructed after the RSSI estimated distance of target labels, by particle group optimizing to target Then the observation vector that function solves acquisition system passes through Unscented kalman filtering so that the observation vector precision of system is higher Observation vector is filtered, finally smoothly the track after the completion of filtering is smoothed with segmentation RTS, is effectively improved Indoor tracking precision.Compared with prior art, the present invention realizes the feelings in less reference label and reader quantity Under condition, the precision of systematic observation vector is improved by way of non-linear support vector regression and particle group optimizing, and Smoothly track is carried out smoothly by Unscented kalman filtering and segmentation RTS on the basis of this, rather than directlys adopt target labels and arrives The distance between reader be used as observation vector, the present invention using the position coordinates of target labels be used as observation vector, by SVR with PSO is filtered after improving observation vector precision and smoothly, reduces the error of movement objective orbit tracking, greatly improve The precision of track following.
Detailed description of the invention
Fig. 1 is the system model figure of label tracking in the embodiment of the present invention;
Fig. 2 is the flow diagram of label tracking in the embodiment of the present invention;
Fig. 3 is the motion model analogous diagram of label tracking in the embodiment of the present invention;
Fig. 4 is the simulation result Error Graph of label tracking in the embodiment of the present invention.
Specific embodiment
Below in conjunction with the drawings and specific embodiments, present invention is further described in detail.
As shown in Figure 1, being the system model figure that label indoor tracking method is implemented, specific requirement is as follows: in target area 4 readers and equally distributed M reference label are placed, a reader is placed in every nook and cranny usually in the zone, and Every two meters of placements, one reference label;And a certain number of labels to be positioned are generated at random and are scattered in target area.Reader Reading range can cover whole region, wherein the position coordinates of reader be (Xi,Yi),i∈(1,M);
As shown in Fig. 2, a kind of RFID label tag indoor tracking based on Unscented kalman filtering disclosed by the embodiments of the present invention Method mainly includes the following steps:
(1) according to the motion state of target labels, the state model x of system is establishedk+1=f (xk)+WkWith observation model zk =h (xk)+Vk;Wherein subscript k indicates moment, xkThe state vector of expression system, including target labels in the position of x-axis direction And speed and target labels are in the position and speed in y-axis direction;zkThe observation vector of expression system, f indicate nonlinear state Equation functions, h indicate non-linear observation equation functions, WkIndicate zero-mean, the process noise that covariance matrix is Q, VkIndicate zero Mean value, the observation noise that covariance matrix is R;
The state vector of system are as follows:
xk=[pxk vx(k) pyk vy(k)]T
Wherein, pxkIt is target labels in the position of x-axis direction, vx(k)Speed for target labels in x-axis direction, pykFor mesh Mark position of the label in y-axis direction, vy(k)Speed for target labels in y-axis direction.
The nonlinear state function of system is related with the motion state of system.For the target labels of uniform motion, system State model are as follows:T is sampling time interval;
For the target labels at the uniform velocity turned, the state model of system are as follows:Wherein T is sampling time interval, and ω is turning rate;
The observation model of system are as follows:
Process noise WkUsually taking variance is 0.15, observation noise VkUsually taking variance is 1.
(2) RSSI for being evenly distributed on indoor reference label and reference label are passed through at a distance from reader non-linear SVR is trained, and constructs the Nonlinear Mapping relationship of RSSI and distance;Specific steps include:
(2.1) reference is established according to the signal strength indication RSSI for being evenly distributed on indoor reference label that reader obtains The RSSI matrix of label;The distance matrix of reference label is established according to the distance between reference label and reader;
(2.2) using the RSSI of reference label as the input value of sample, using the distance of reference label as the expectation of sample Output valve, the RSSI of reference label are trained with apart from one-to-one correspondence by non-linear SVR;
(2.3) it according to the training result of non-linear SVR, establishes non-thread between input signal strength RSSI and output distance Property mapping relations.
(3) RSSI of the target labels at current time is obtained, according to the Nonlinear Mapping relationship that step (2) construct, estimation Distance between target labels and reader out, building calculate the Nonlinear System of Equations of target labels position, and by nonlinear equation Group Solve problems are converted into the optimization problem of objective function, are solved by particle group optimizing to objective function, obtain current time Target labels observation coordinate;Specific steps are as follows:
(3.1) signal strength indication of the label to be positioned obtained according to reader establishes the RSSI matrix of label to be positioned, Using the RSSI matrix of label to be positioned as the input of decision function, according to the Nonlinear Mapping of RSSI and distance in step (2) Relationship obtains the distance matrix of label and reader to be positioned;
(3.2) it according to the distance matrix of label to be positioned and the position coordinates of reader, constructs and calculates mark to be positioned Sign the Nonlinear System of Equations of position;
Wherein, diIt is the distance between the target labels estimated and i-th of reader, (x, y) is target labels coordinate, (Xi,Yi) be reader position coordinates, i ∈ (1, M);M is the number of reader.
(3.3) Solving Nonlinear Systems of Equations problem is converted to the optimization problem of objective function, it is logical using PSO optimization method Cross the optimal solution that iteration seeks objective function.Wherein, the objective function of particle group optimizing are as follows:
(3.4) fitness value of calculating and more all particles changes grain according to global optimum and individual optimal value The position and speed of son draws close the position coordinates that the optimal solution obtained from is target labels to optimal solution.
(4) to filter before being carried out by observation track of the Unscented kalman filtering algorithm to the target labels before current time Wave;Specific steps include:
(4.1) the system mode x at k momentkIt is converted using UT and obtains Sigma point Xi,k, and sampling policy is corrected using ratio Obtain the weight of the corresponding mean value of Sigma point and variance.The weight of the corresponding mean value of Sigma point is denoted asThe weight of variance It is denoted as
In formula, λ=α2(n+v)-n, n are the dimension of system mode vector, value 4;α is for point set is arranged to mean value The distance of point, usually the number of a very little, value 0.01, ν are a scale parameters, value 0, and β is higher order term information Parameter, value 2.
(4.2) the one-step prediction X of Sigma point is calculatedi,k+1/k=f (xi,k), according to the prediction to Sigma point, it is weighted Summation obtains the one-step prediction of system state amountAnd according to the one-step prediction of system state amount Value, calculates the covariance matrix of system state amountThe Sigma point of prediction is substituted into and is seen Survey equation, the observed quantity Z predictedi,k+1/k=h (Xi,k+1/k);According to the observation predicted value to Sigma point, weighted sum is obtained Take system prediction valueAnd obtain the covariance of system:
(4.3) Kalman gain is calculated according to the covariance of system prediction value:Utilize lower a period of time The observation vector at quarter is updated, and obtains estimated value last in recursive process The side and DifferenceTarget position after obtaining filtering estimation.
(5) backward recursion: smooth theoretical smooth to the progress of filtered track by RTS, smoothed out structure is mesh Mark the indoor tracking track of label.It is smoothly smooth using segmentation RTS backward, the whole process of tag motion is divided into more Section, every section gradually reverse smooth.The specific steps of sectionally smooth include:
(5.1) (k=N-1 ..., 1) is initialized, wherein N is the number of sampled point in each section of section;For smoothing process In state vector;For the variance in smoothing process;
(5.2) flat gain is calculatedWherein CkFor cross covariance matrix;
(5.3) smooth vector sum variance is updated;
Experimental situation is configured that in this experiment, and area to be targeted is the room area of 8m*8m, in this region every Place a reader, that is, M=4 in a corner;4*4 reference label is uniformly placed in whole region.The iteration of particle group optimizing Total degree is set as 100.As shown in figure 3, giving the RFID label tag indoor tracking side in this example based on Unscented kalman filtering The motion model analogous diagram of method.The motion profile of moving target are as follows: 0~20s does linear uniform motion on the basis of initial value;
20~40s, target do movement of at the uniform velocity turning left after linear uniform motion;
40~60s, target do linear uniform motion after movement of at the uniform velocity turning left;
60~80s, target do movement of at the uniform velocity turning right after uniformly accelerated motion;
80~100s, target do linear uniform motion after movement of at the uniform velocity turning right.
As shown in figure 4, giving the imitative of the RFID label tag indoor tracking method in this example based on Unscented kalman filtering True resultant error figure.As seen from Figure 4, under the conditions of same experiment simulation, the error of RFID label tag positioning in the present invention Significantly lower than the position error of classical VIRE and EKF method.From the foregoing, it will be observed that label tracking in the embodiment of the present invention with The indoor tracking algorithm of the prior art, which is compared, has higher positioning accuracy, when target state changes, the present invention In tracking still there is good tracking result, strong robustness.
Based on the same technical idea, the embodiment of the invention also provides a kind of computer equipments, which can With include memory, processor and storage on a memory and the computer program that can run on a processor, the computer Program realizes the above-mentioned RFID label tag indoor tracking method based on Unscented kalman filtering when being loaded on processor.
The foregoing is merely better embodiment of the invention, protection scope of the present invention is not with above embodiment Limit, as long as those of ordinary skill in the art's equivalent modification or variation made by disclosure according to the present invention, should all be included in power In the protection scope recorded in sharp claim.

Claims (8)

1. a kind of RFID label tag indoor tracking method based on Unscented kalman filtering, it is characterised in that: this method includes as follows Step:
(1) according to the motion state of target labels, the state model x of system is establishedk+1=f (xk)+WkWith observation model zk=h (xk)+Vk;Wherein subscript k indicates moment, xkThe state vector of expression system, position and speed including target labels in x-axis direction Degree and target labels y-axis direction position and speed;zkThe observation vector of expression system, f indicate nonlinear state equation Function, h indicate non-linear observation equation functions, WkIndicate zero-mean, the process noise that covariance matrix is Q, VkIndicate that zero is equal Value, the observation noise that covariance matrix is R;
(2) RSSI for being evenly distributed on indoor reference label and reference label are passed through into non-linear SVR at a distance from reader It is trained, constructs the Nonlinear Mapping relationship of RSSI and distance;
(3) RSSI of the target labels at current time is obtained, according to the Nonlinear Mapping relationship that step (2) construct, estimates mesh Distance between label and reader is marked, building calculates the Nonlinear System of Equations of target labels position, and Nonlinear System of Equations is asked Solution problem is converted into the optimization problem of objective function, is solved by particle group optimizing to objective function, obtains the mesh at current time Mark the observation coordinate of label;
(4) to filtering before being carried out by observation track of the Unscented kalman filtering algorithm to the target labels before current time;
(5) to smooth after carrying out to filtered track, smoothed out track is the indoor tracking track of target labels.
2. a kind of RFID label tag indoor tracking method based on Unscented kalman filtering according to claim 1, feature It is: the state vector of system in the step (1) are as follows: xk=[pxk vx(k)pyk vy(k)]T;Wherein, pxkIt is target labels in x The position of axis direction, vx(k)Speed for target labels in x-axis direction, pykPosition for target labels in y-axis direction, vy(k)For Speed of the target labels in y-axis direction;
The nonlinear state function of system is related with the motion state of system;For the target labels of uniform motion, the shape of system States model are as follows:T is sampling time interval;
For the target labels at the uniform velocity turned, the state model of system are as follows:Wherein T is sampling time interval, and ω is turning rate;
The observation model of system are as follows:
3. a kind of RFID label tag indoor tracking method based on Unscented kalman filtering according to claim 1, feature It is: is specifically included in the step (2):
(2.1) reference label is established according to the signal strength indication RSSI for being evenly distributed on indoor reference label that reader obtains RSSI matrix;The distance matrix of reference label is established according to the distance between reference label and reader;
(2.2) it using the RSSI of reference label as the input value of sample, is exported the distance of reference label as the expectation of sample Value, the RSSI of reference label are trained with apart from one-to-one correspondence by non-linear SVR;
(2.3) according to the training result of non-linear SVR, that establishes between input signal strength RSSI and output distance non-linear reflects Penetrate relationship.
4. a kind of RFID label tag indoor tracking method based on Unscented kalman filtering according to claim 1, feature It is: the Nonlinear System of Equations in the step (3) are as follows:
Wherein, diIt is the distance between the target labels estimated and i-th of reader, (x, y) is target labels coordinate, (Xi, Yi) be reader position coordinates, i ∈ (1, M);M is the number of reader.
5. a kind of RFID label tag indoor tracking method based on Unscented kalman filtering according to claim 4, feature It is: the objective function of the particle group optimizing in the step (3) are as follows:
6. a kind of RFID label tag indoor tracking method based on Unscented kalman filtering according to claim 1, feature Be: the step of Unscented kalman filtering in the step (4) includes:
(4.1) the system mode x at k momentkIt is converted using UT and obtains Sigma point, and obtained using ratio amendment sampling policy The corresponding mean value weight of Sigma pointAnd variance weight Wi c
(4.2) the one-step prediction X of Sigma point is calculatedi,k+1/k=f (xi,k), and the estimated value of system state amount is calculatedAnd error co-variance matrix Wherein n is the dimension of system mode vector;
(4.3) the Sigma point of prediction is substituted into the observed quantity Z that observational equation calculates predictioni,k+1/k=h (Xi,k+1/k), and calculate The predicted value measured to systematic perspectiveAnd covariance, and calculated according to the covariance of system prediction value Kalman gainWherein:
(4.4) the observation vector z of subsequent time is utilizedk+1It is updated, obtains estimated value last in recursive processAnd varianceTarget after obtaining filtering estimation Position.
7. a kind of RFID label tag indoor tracking method based on Unscented kalman filtering according to claim 1, feature It is: it is backward smoothly smooth using segmentation RTS in the step (5), the whole process of tag motion is divided into multistage, Every section gradually reverse smooth.
8. a kind of computer equipment including memory, processor and stores the meter that can be run on a memory and on a processor Calculation machine program, which is characterized in that the computer program realizes any one of -7 institute according to claim 1 when being loaded on processor The RFID label tag indoor tracking method based on Unscented kalman filtering stated.
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Application publication date: 20190329