CN113048984B - Dynamic positioning information fusion method for underwater unmanned robot cluster - Google Patents

Dynamic positioning information fusion method for underwater unmanned robot cluster Download PDF

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CN113048984B
CN113048984B CN202110359019.5A CN202110359019A CN113048984B CN 113048984 B CN113048984 B CN 113048984B CN 202110359019 A CN202110359019 A CN 202110359019A CN 113048984 B CN113048984 B CN 113048984B
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moment
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CN113048984A (en
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朱志宇
简杰
魏海峰
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Jiangsu University of Science and Technology
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    • 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
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Abstract

The invention relates to the technical field of unmanned robot clusters, in particular to a dynamic positioning information fusion method for an underwater unmanned robot cluster. By introducing the concept of a consistency method under dynamic topology and combining a distributed unscented Kalman filtering method, a local unscented filter and a weighted average consistency filter are embedded in each node of a communication network, and the local unscented filter obtains local unscented estimation quantity about the positioning state of a tested node by utilizing local multisource observation information of each AUV node; and simultaneously, the weighted average consistency filter carries out consistent fusion on all local posterior estimation, so that the global posterior estimation result is output in a mode of weighting the posterior estimation mean value by an information matrix.

Description

Dynamic positioning information fusion method for underwater unmanned robot cluster
Technical Field
The invention relates to the technical field of unmanned robot clusters, in particular to a dynamic positioning information fusion method for an underwater unmanned robot cluster.
Background
With the increasing maturity of AUV technology, the task difficulty and complexity of AUV are also increased, and single AUV cannot meet the new demands of increasing accuracy, diversity and complexity of tasks due to the limitations of AUV, and AUV is developing toward miniaturization, structural simplification, intellectualization, mixing and swarmization. In particular, multiple AUVs have advantages not available with some single AUVs, such as higher fault tolerance, robustness, efficient operation, reconfigurability, distributed sensing and coordination, wider application fields, and the like.
However, compared with the traditional land and air radio communication network-based co-location method, the multi-AUV cluster co-location based on the acoustic communication network has completely different technical characteristics and difficulties. The single AUV only has local sensing and communication capability, and the underwater acoustic communication has the problems of narrow channel bandwidth, low data transmission rate, long measurement time, poor real-time performance and the like, and the method of centralized decision and global decision is not suitable for the needs under the submarine environment. The deep sea environment is complex and changeable, so that the communication of AUV cluster formation presents sparse and dynamic change characteristics, and the message transmission method in the distributed co-location method depends on tree-shaped or ring-shaped communication topology, so that the method is hardly applicable to AUV cluster formation of dynamic topology. The message diffusion form represented by the channel filter only needs to carry out single-hop communication between adjacent nodes, has strong universality on communication topology in theory, and gradually becomes the main research direction of the distributed method. The LED light and low-frequency radio waves are used as dual communication media, detection equipment is changed from high-power-consumption sonar to low-power-consumption LED light strips and underwater cameras, power consumption is reduced, real-time monitoring of the experimental platform on shore is realized, experimental phenomena are convenient to observe, but the system energy consumption, calculated amount, communication amount and the like are greatly increased in system control and co-location scheme design in the face of severe deep sea environment, so that under the severe constraint condition, optimization of system energy consumption, calculated amount and communication amount is completed, and the method has very important significance for rapid aggregation of multiple AUV cluster systems and even adjustment of formation structures.
Disclosure of Invention
In order to solve the technical problems, the invention provides a dynamic positioning information fusion method for an underwater unmanned robot cluster, which is characterized in that a local unscented filter and a weighted average consistency filter are embedded in each node of a communication network by introducing the concept of a consistency method under dynamic topology and combining a distributed unscented Kalman filtering method, and the local unscented filter obtains local unscented estimation quantity about the positioning state of a tested node by utilizing local multisource observation information of each AUV node; and simultaneously, the weighted average consistency filter carries out consistent fusion on all local posterior estimation, so that the global posterior estimation result is output in a mode of weighting the posterior estimation mean value by an information matrix.
In order to achieve the above purpose, the present invention provides the following technical solutions:
the dynamic positioning information fusion method for the underwater unmanned robot cluster comprises the following steps of:
step one: constructing a state space model of a multi-AUV co-location system and a communication network model based on an average network undirected graph, comprehensively considering the dynamics characteristics of a platform, determining input parameters, adding Gaussian noise, and establishing a motion equation;
step two: threshold weighting eliminates coarse differences in local information: a threshold weighting module is added to the rear end of the local observation value to optimize special node information;
step three: local information filter: approximating probability density of the function by using unscented transformation, solving expected and variance of a target event, converting a nonlinear problem into a Kalman filtering problem, and outputting a local posterior value;
step four: weighted average consistency filter: the weighted average consistency filter carries out consistent fusion on all local posterior estimation, so that a global posterior estimation result is output in a mode of weighting a posterior estimation mean value by an information matrix;
step five: optimizing global posterior results: when the consistency filter outputs the global posterior estimated value and covariance, judging whether the consistency filter corresponds to the latest moment and optimizing the latest moment, and generating a stable estimated value as an input value of the local filter so as to solve the problem of filtering asynchronism.
The invention is further improved, in the first step, the deep sea sparse dynamic wireless communication network is described based on an average network undirected graph model, the sparsity is described by an effective communication connection edge set between any nodes, and a state space model of any nodes is as follows:
the equation of state: x is x k =f(x k-1 )+Q k-1
Observation equation:
wherein x is k As a real state variable of the AUV under test,for observing the variable, the state equation and the observation equation are nonlinear functions, Q k-1 To predict noise, R k For observing noise, it is assumed that both are gaussian white noise, satisfying normal distribution;
random dynamic variation of sparse networks by monitoring the change of the correlation probability values in the average adjacency matrix and the average laplace matrix, using undirected graph G k =(V,ε k ) Describing a sparse dynamic network communication topology at any time k, wherein V is a set of sensor nodes, and the cardinality of the set of sensor nodes is N, epsilon k For the set of effective communication connection edges between nodes at the current moment, the base number of the set of effective communication connection edges is M k M in sparse dynamic network k The sparse condition is satisfied:
the adjacent matrix at the previous k moment is synthesized to obtain an average adjacent matrix, and the average adjacent matrix is differenced with the average degree matrix to obtain an average Laplace matrix (L=D-A), wherein the change value of elements in the matrix can clearly reflect the random dynamic change condition of a sparse network, the average Laplace matrix is a semi-positive definite matrix, and the minimum characteristic value of the average Laplace matrix is larger than zero and is a filling condition for communicating an average network undirected graph;
the convergence of the consistency method is described through the angle of mean square convergence, and in the average network undirected graph, the communication topology is randomly and dynamically changed with a certain probability, so that the method is more suitable for examining the convergence of the consistency method from the angle of mean square convergence, and if the average network undirected graph is communicated, the average consistency method can enable all node states to be converged to an average consistency value.
The invention is further improved, a threshold weighting module is added at the rear end of the local observed value in the second step to optimize special node information, the condition that the signal to be detected corresponds to the moment k-2 is assumed, and the state quantity such as the position, the speed, the heading angle and the like of the tracked node, the sampling period and the maximum error under the environmental interference such as ocean current and the like are based on the moment k-2Calculating the existence range of the estimated expected value of the tracking node at the moment k-1, and setting a threshold value +.>Calculating the existence range of the estimated expected value of the tracking node at the current moment, setting a threshold value according to the speed of the previous moment and the signal sampling period, and measuring the distance l between the target and the body at the previous moment and the next moment k-1 L k-2 Setting weight +.>Wherein Δl= |l k-1 -l k-2 If the observed signal exceeds the threshold value, a virtual position setpoint value is generated +.>Instead of the observed values, the method participates in local filtering calculation, and avoids the risk of excessive distortion of remote signals.
The invention is further improved, and the specific steps of the local information filter in the step three are as follows:
knowing the AUV node state x detected at the current time k-1 Is estimated (mean value of posterior estimation for the previous moment) and covarianceDecomposing covariance matrix->Wherein the requirement->Must be positive;
1) In order to transfer the state transfer function f (x k-1 ) Is approximately normal distribution, and is subjected to UT conversion to obtain sigma points
L (i) Represents the ith column of matrix L, and the weight is
2)
Then
Obtaining the prior value of the detected node stateIs satisfying the normal distribution +.>
5) In the same way, the first step is toDecomposing, let->
6)
L 1(i ) Representative matrix L 1 Is the (i) th column of the weight value
5)y k (i) =f(x k-1 (i) ) Then
Priori expectation of observed value of measured node at k moment
Its a priori variance
6) Observe the observed value y of the AUV node to be tested m
7)
Note k=p xy (P y ) -1
8) State posterior expectation of AUV node under test at k moment
Posterior variance of
So far, the state posterior estimation value and covariance of the k moment are already obtained, and the next cycle can be entered to continue recursion.
The invention further improves, in step four, the consistency method of multi-agent clusters is used, and all local posterior estimation is subjected to consistency fusion through a weighted average consistency filter, so that the global posterior estimation result is output in the form of weighting the posterior estimation mean value by an information matrix:
considering a network of n AUVs, the AUV monomers estimate a signal that is disturbed by gaussian noise from the measurements, the signal model is slightly modified in form as follows:
x(k+1)=x(k)+w(k)
each AUV measures the signal as
z i (k)=H i (k)x(k)+v i (k)
Wherein the process noise and the measured value are respectively
E[w(k)w(l) T ]=Q(k)δ kl
E[v i (k)v j (l) T ]=R i (k)δ kl δ ij
Wherein when k=l, δ kl =1; otherwise, delta kl =0。
Consider a network consisting of n AUVs, assuming n (a, H) are observable; assume that each AUV applies the following distributed estimation method
And initial condition P i =P 0Then, estimate error->Is a stable linear system with Lyapunov function of +.>
The invention is further improved, when the consistency filter outputs the global posterior estimation value and covariance, judging the timeliness of the consistency filter, namely, whether the consistency filter corresponds to the current moment, if so, the consistency filter is used as the input of the local filter; if not, entering an estimation module, generating a reliable estimated value as a posterior value of the local filter, and generating the reliable estimated value as the posterior value of the local filter according to the following steps:
1) Calculating the change delta of the global estimated value of the AUV state to be measured at the moment k-1;
2) Obtaining a state assumption value of the AUV to be measured at the moment k under the variation delta;
3) Setting an estimated value of the AUV state as a weighted average of the assumed value and the local posterior value;
4) The predicted value is entered into the local method as a global posterior estimate and covariance.
The invention has the beneficial effects that:
(1) The invention combines the knowledge of graph theory and topology network and unscented Kalman filtering and consistency method, and is fully applicable to the situations of sparse communication, random dynamic change of communication topology and clutter interference of multi-AUV co-location in a deepwater environment.
(2) The AUV observation value threshold weighting method reduces measurement deviation caused by harsh underwater signal conditions and dynamic and static obstacles, eliminates observation rough differences according to the state of the AUV and environmental factors, and improves the reliability of positioning information.
(3) According to the invention, a global posterior value estimation mechanism is introduced, whether the local filtering at the next moment is carried out is selected by judging the aging of the consistency filtering, and the delayed global posterior result is replaced by the estimated value, so that the aging of the consistency method is ensured, and the filtering asynchronism problem of the local filtering and the consistency filtering is effectively avoided.
Drawings
FIG. 1 is a partial information filtering method of the present invention;
FIG. 2 is a threshold weighting module in a local filter of the present invention;
FIG. 3 is a parallel fusion consistency distributed filtering method of the present invention;
FIG. 4 is a schematic diagram of a predictive module for handling filtering asynchrony in accordance with the present invention.
Detailed Description
The present invention will be described in further detail with reference to the following examples, which are only for the purpose of illustrating the invention and are not to be construed as limiting the scope of the invention.
Examples: as shown in fig. 1 to 4, a dynamic positioning information fusion method for an underwater unmanned robot cluster includes the steps of:
step one: the method comprises the steps of constructing a state space model of a multi-AUV co-location system, comprehensively considering the dynamics characteristics of a platform, determining input parameter values, adding Gaussian noise, and establishing a motion equation. Constructing a communication network model based on an average network undirected graph, describing sparseness through an effective communication connection edge set among any nodes, describing random dynamic changes of the sparse network by monitoring changes of relevant probability values in an average adjacency matrix and an average Laplace matrix, and describing convergence of a consistency method through a mean square convergence angle.
Step two: the rough difference of the local information is eliminated by using threshold weighting: and a threshold weighting module is added at the rear end of the local observation value to perform rough difference elimination, and special node information is optimized.
Step three: improving unscented Kalman filtering to process local information: the probability density of the function is approximated by a Unscented Transform (UT), the expected and variance of the target event are calculated, and the nonlinear problem is converted into a kalman filter problem.
Step four: weighted average consistency filter: and the weighted average consistency filter carries out consistent fusion on all the local posterior estimation, so that the global posterior estimation result is output in the form of weighting the posterior estimation mean value by an information matrix.
Step five: optimizing global posterior results: when the consistency filter outputs the global posterior estimated value and covariance, judging whether the global posterior estimated value and covariance correspond to the latest moment, if the corresponding moment of the value is correct, the value is used as the input of the local filter, and if the value does not correspond to the current moment, the value enters the estimation module to generate a stable estimated value as the input value of the local filter so as to solve the problem of filtering asynchronism.
In this embodiment, the first step specifically includes: the platform state of the single AUV consists of elements such as the position, the speed, the gesture and the like of the platform. Comprehensively considering the dynamics characteristics of the platform, determining input parameters, adding Gaussian noise, and establishing a motion equation. The state equation of the whole co-location system can be obtained from the state, input and noise of the whole platform. Similarly, when the observation equation between the single platform and the platform is properly expanded, the observation equation of the whole system can be obtained. The state space model is a starting point of the design of the co-location method, and in the sparse dynamic wireless sensor network, the state space model of any node i is as follows:
the equation of state: x is x k =f(x k-1 )+Q k-1
Observation equation:
wherein x is k The real state variable of the AUV to be measured contains information such as position, speed, gesture and the like,for observing variables, the state equation and the observation equation are nonlinear functions in consideration of nonlinearity of the track push and the relative distance measurement model, and the actual observation value of the AUV to be measured. Q (Q) k-1 To predict noise, R k To observe noise, it is assumed that both are gaussian white noise, satisfying a normal distribution.
First, using undirected graph G k =(V,ε k ) Describing a sparse dynamic network communication topology at any time k, wherein V is a set of sensor nodes, and the cardinality of the set of sensor nodes is N, epsilon k Connecting a set of edges with a base ofNumber of active communication connection sides M k . M in sparse dynamic network k The sparse condition is satisfied:
the average adjacent matrix can be obtained by integrating the adjacent matrix at the previous k time, and the average Laplace matrix (L=D-A) can be obtained by making a difference with the average degree matrix, and the change value of the elements in the matrix can clearly reflect the random dynamic change condition of the sparse network. And the average Laplace matrix is a semi-positive definite matrix, and the minimum eigenvalue of the matrix is larger than zero, so that the average network undirected graph is a connected condition.
In the average network undirected graph, the communication topology changes randomly and dynamically with a certain probability, so that the method is more suitable for investigating the convergence of the consistency method from the aspect of mean square convergence. If the average network undirected graph is connected, the average consistency method can enable all node states to converge to an average consistency value in a mean square.
In this embodiment, the second step specifically includes: assuming that the signal to be detected corresponds to time k-2, and according to the state quantity such as the position, the speed, the heading angle and the like of the tracked node at time k-2, the sampling period and the maximum error under the environmental interference such as ocean current and the likeCalculating the existence range of the estimated expected value of the tracking node at the moment k-1, and setting a threshold value +.>According to the distance l between the measuring object and the body at the front and back time k-1 L k-2 Setting weight +.>Wherein Δl= |l k-1 -l k-2 | a. The invention relates to a method for producing a fibre-reinforced plastic composite. If the observed signal exceeds the threshold value, a virtual position expectation value is generated>Instead of looking atAnd measuring values, participating in local filtering calculation, and avoiding the risk of excessive distortion of remote signals.
In this embodiment, the third step specifically includes: knowing the AUV node state x detected at the current time k-1 Is estimated (mean value of posterior estimation for the previous moment) and covarianceDecomposing covariance matrix->Wherein the requirement->Must be positive;
1) In order to transfer the state transfer function f (x k-1 ) Is approximately normal distribution, and is subjected to UT conversion to obtain sigma points
L (i) Represents the ith column of matrix L, and the weight is
2)
Then
Obtaining the prior value of the detected node stateIs satisfying the normal distribution +.>
3) In the same way, the first step is toDecomposing, let->
4)
L 1(i) Representative matrix L 1 Is the (i) th column of the weight value
5)y k (i) =f(x k-1 (i) ) Then
Priori expectation of observed value of measured node at k moment
Its a priori variance
6) Observe the observed value y of the AUV node to be tested m
7)
Note k=p xy (P y ) -1
8) State posterior expectation of AUV node under test at k moment
Posterior variance of
So far, the state posterior estimation value and covariance of the k moment are already obtained, and the next cycle can be entered to continue recursion.
In this embodiment, the fourth step specifically includes: considering a network of n AUVs, the AUV monomers estimate a signal that is disturbed by gaussian noise from the measurements, the signal model is slightly modified in form as follows:
x(k+1)=x(k)+w(k)
each AUV measures the signal as
z i (k)=H i (k)x(k)+v i (k)
Wherein the process noise and the measured value are respectively
E[w(k)w(l) T ]=Q(k)δ kl
E[v i (k)v j (l) T ]=R i (k)δ kl δ ij
Wherein when k=l, δ kl =1; otherwise, delta kl =0。
Consider a network consisting of n AUVs, assuming n (a, H) are observable. Assume that each AUV applies the following distributed estimation method
And initial condition P i =P 0Then, estimate error->Is a stable linear system with Lyapunov function of +.>
In this embodiment, the fifth step specifically includes: in the case of a significant improvement in hardware level, the computation cycle is also greatly shortened, and the latest global posterior result should be fully utilized by the system. Outputting global posterior estimation value by consistency filterCovariance->Judging whether the value corresponds to the k moment or not, and if the value corresponds to the moment correctly, taking the value as the input of the local filter; if the current time is not corresponding, entering an estimation module, and taking a reliable estimated value as a posterior value of the local filter according to the generation of the reliable estimated value, wherein the method specifically comprises the following steps:
1) Calculating the change delta of the global estimated value of the AUV state to be measured at the moment k-1;
2) Obtaining a state assumption value of the AUV to be measured at the moment k under the variation delta;
3) Setting an estimated value of the AUV state as a weighted average of the assumed value and the local posterior value;
4) The predicted value is entered into the local method as a global posterior estimate and covariance.
The foregoing is merely exemplary embodiments of the present invention, and specific structures and features that are well known in the art are not described in detail herein. It will be evident to those skilled in the art that the invention is not limited to the details of the foregoing illustrative embodiments, and that the present invention may be embodied in other specific forms without departing from the spirit or essential characteristics thereof. The present embodiments are, therefore, to be considered in all respects as illustrative and not restrictive, the scope of the invention being indicated by the appended claims rather than by the foregoing description, and all changes which come within the meaning and range of equivalency of the claims are therefore intended to be embraced therein. Any reference sign in a claim should not be construed as limiting the claim concerned.

Claims (6)

1. The dynamic positioning information fusion method for the underwater unmanned robot cluster is characterized by comprising the following steps of:
step one: constructing a state space model of a multi-AUV co-location system and a communication network model based on an average network undirected graph, comprehensively considering the dynamics characteristics of a platform, determining input parameters, adding Gaussian noise, and establishing a motion equation;
step two: threshold weighting eliminates coarse differences in local information: a threshold weighting module is added to the rear end of the local observation value to optimize special node information;
step three: local information filter: approximating probability density of the function by using unscented transformation, solving expected and variance of a target event, converting a nonlinear problem into a Kalman filtering problem, and outputting a local posterior value;
step four: weighted average consistency filter: the weighted average consistency filter carries out consistent fusion on all local posterior estimation, so that a global posterior estimation result is output in a mode of weighting a posterior estimation mean value by an information matrix;
step five: optimizing global posterior results: when the consistency filter outputs the global posterior estimated value and covariance, judging whether the consistency filter corresponds to the latest moment and optimizing the latest moment, and generating a stable estimated value as an input value of the local filter so as to solve the problem of filtering asynchronism.
2. The method for dynamic positioning information fusion of an underwater unmanned robot cluster according to claim 1, wherein in the first step, a deep sea sparse dynamic wireless communication network is described based on a communication network model of an average network undirected graph, sparseness is described by an effective communication connection edge set between any nodes, and a state space model of any node is as follows:
the equation of state: x is x k =f(x k-1 )+Q k-1
Observation equation:
wherein x is k As a real state variable of the AUV under test,for observing the variable, the state equation and the observation equation are nonlinear functions, Q k-1 To predict noise, R k For observing noise, it is assumed that both are gaussian white noise, satisfying normal distribution;
random dynamic variation of sparse networks by monitoring the change of the correlation probability values in the average adjacency matrix and the average laplace matrix, using undirected graph G k =(V,ε k ) Describing a sparse dynamic network communication topology at any time k, wherein V is a set of sensor nodes, and the cardinality of the set of sensor nodes is N, epsilon k For the set of effective communication connection edges between nodes at the current moment, the base number of the set of effective communication connection edges is M k M in sparse dynamic network k Satisfy sparse barPiece (2):
the adjacent matrix at the previous k moment is synthesized to obtain an average adjacent matrix, and the average adjacent matrix is differenced with the average degree matrix to obtain an average Laplace matrix (L=D-A), wherein the change value of elements in the matrix can clearly reflect the random dynamic change condition of a sparse network, the average Laplace matrix is a semi-positive definite matrix, and the minimum characteristic value of the average Laplace matrix is larger than zero and is a filling condition for communicating an average network undirected graph;
the convergence of the consistency method is described through the angle of mean square convergence, and in the average network undirected graph, the communication topology is randomly and dynamically changed with a certain probability, so that the method is more suitable for examining the convergence of the consistency method from the angle of mean square convergence, and if the average network undirected graph is communicated, the average consistency method can enable all node states to be converged to an average consistency value.
3. The method for dynamic positioning information fusion of an underwater unmanned robot cluster according to claim 1, wherein a threshold weighting module is added to the rear end of the local observation value in the second step to optimize special node information, and the state quantities and sampling periods of the tracked nodes at the time k-2 are based on the position, speed, heading angle and the like of the tracked nodes and the maximum error under the environmental interference of ocean currents and the like under the assumption that the signal to be detected corresponds to the time k-2Calculating the existence range of the estimated expected value of the tracking node at the moment k-1, and setting a threshold value +.>Calculating the existence range of the estimated expected value of the tracking node at the current moment, setting a threshold value according to the speed of the previous moment and the signal sampling period, and measuring the distance l between the target and the body at the previous moment and the next moment k-1 L k-2 Setting weight +.>Wherein Δl= |l k-1 -l k-2 If the observed signal exceeds the threshold value, a virtual position setpoint value is generated +.>Instead of the observed values, the method participates in local filtering calculation, and avoids the risk of excessive distortion of remote signals.
4. The method for dynamic positioning information fusion of an underwater unmanned robot cluster according to claim 1, wherein the specific steps of the local information filter in the third step are as follows:
knowing the AUV node state x detected at the current time k-1 Is estimated (mean value of posterior estimation for the previous moment) and covarianceDecomposing covariance matrix->Wherein the requirement->Must be positive;
1) In order to transfer the state transfer function f (x k-1 ) Is approximately normal distribution, and is subjected to UT conversion to obtain sigma points
L (i) Represents the ith column of matrix L, and the weight is
2)
Then
Obtaining the prior value of the detected node stateIs satisfying the normal distribution +.>
3) In the same way, the first step is toDecomposing, let->
4)
L 1(i) Representative matrix L 1 Is the (i) th column of the weight value
5)y k (i) =f(x k-1 (i) ) Then
Priori expectation of observed value of measured node at k moment
Its a priori variance
6) Observe the observed value y of the AUV node to be tested m
7)
Note k=p xy (P y ) -1
8) State posterior expectation of AUV node under test at k moment
Posterior variance of
So far, the state posterior estimation value and covariance of the k moment are already obtained, and the next cycle can be entered to continue recursion.
5. The method for dynamic positioning information fusion of underwater unmanned robot clusters according to claim 1, wherein in the fourth step, a multi-agent cluster consistency method is used, and all local posterior estimates are consistently fused through a weighted average consistency filter, so that a global posterior estimation result is output in a form of weighting a posterior estimation mean value by an information matrix:
considering a network of n AUVs, the AUV monomers estimate a signal that is disturbed by gaussian noise from the measurements, the signal model is slightly modified in form as follows:
x(k+1)=x(k)+w(k)
each AUV measures the signal as
z i (k)=H i (k)x(k)+v i (k)
Wherein the process noise and the measured value are respectively
E[w(k)w(l) T ]=Q(k)δ kl
E[v i (k)v j (l)T]=R i (k)δ kl δ ij
Wherein when k=l, δ kl =1; otherwise, delta kl =0;
Consider a network consisting of n AUVs, assuming n (a, H) are observable; assume that each AUV applies the following distributed estimation method
And initial condition P i =P 0Then, estimate error->Is a stable linear system with Lyapunov function of +.>
6. The method for dynamic positioning information fusion of an underwater unmanned robot cluster according to claim 1, wherein the fifth step is to judge the timeliness of the global posterior estimate and covariance when the consistency filter outputs the global posterior estimate and covariance, namely, whether the global posterior estimate and covariance correspond to the current moment, and if so, the global posterior estimate and covariance are used as the input of the local filter; if not, entering an estimation module, generating a reliable estimated value as a posterior value of the local filter, and generating the reliable estimated value as the posterior value of the local filter according to the following steps:
1) Calculating the change delta of the global estimated value of the AUV state to be measured at the moment k-1;
2) Obtaining a state assumption value of the AUV to be measured at the moment k under the variation delta;
3) Setting an estimated value of the AUV state as a weighted average of the assumed value and the local posterior value;
4) The predicted value is entered into the local method as a global posterior estimate and covariance.
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