CN109269511B - Curve matching visual navigation method for planet landing in unknown environment - Google Patents
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Abstract
The invention discloses a planet landing curve matching visual navigation method in an unknown environment, and belongs to the technical field of deep space exploration. The realization method of the invention is as follows: firstly, establishing a lander kinematic model by combining inertial measurement information, then establishing a measurement model based on interframe curve matching by using sequence images obtained in the descending process of the lander, and finally estimating the absolute motion state of the lander in real time by using a Kalman filtering algorithm, thereby realizing curve matching visual navigation of satellite landing in an unknown environment, improving the precision of a navigation system, ensuring the stability of the navigation system and ensuring the accurate and safe landing of the lander. The method can estimate the absolute motion state of the lander without prior map information, and improves the stability of a navigation system. The invention is not only suitable for the planet landing task, but also suitable for the small celestial body landing task.
Description
Technical Field
The invention relates to a planet landing curve matching visual navigation method in an unknown environment, and belongs to the technical field of deep space exploration.
Background
Landing detection and sample return are the main development directions of future deep space exploration. The future small celestial body and mars detection tasks require the detector to have the capability of accurate fixed-point landing in areas with higher scientific value. The target celestial body is far away from the earth, and the communication time delay is serious, so that the detector is required to have the autonomous navigation capability. Meanwhile, uncertainty such as insufficient prior information and environmental disturbance of the target celestial body environment puts higher requirements on the autonomous navigation system.
At present, a navigation method based on IMU (inertial measurement unit) position recursion is mainly adopted in the landing process, but the method cannot correct initial deviation, random drift and errors exist in the IMU, the accumulated errors can be gradually diffused along with time, and the requirement of high-precision navigation is difficult to meet. In view of the above drawbacks of the navigation method, the autonomous visual navigation method based on the image information of the surface features of the celestial body is becoming the focus of research of various national scholars. Autonomous visual navigation methods based on celestial surface feature image information are mainly classified into two categories: the first type is a navigation method with known landmark characteristic positions on the surface of the celestial body; the second type is a navigation method in which the landmark feature position on the surface of the celestial body is unknown. However, when the prior-to-test map information does not exist, that is, when the landmark feature position on the surface of the celestial body cannot be obtained, the first method is not applicable any more. The navigation method based on unknown landmark feature positions on the celestial body surface is divided into a navigation method based on feature point matching and a navigation method based on curve matching according to different landmark image features. But the characteristic point line-of-sight measurement information is susceptible to noise. In view of this, it is necessary to design a fast and effective visual navigation method for the lander to ensure accurate and safe landing of the lander, aiming at the problem of estimating the motion state of the lander in an unknown environment.
Disclosure of Invention
In order to solve the problem of interplanetary landing autonomous navigation in an unknown environment, the invention aims to provide a curve matching visual navigation method for planetary landing in the unknown environment, which is used for estimating the absolute motion state of a lander in real time by combining inertial measurement information and utilizing a Kalman filtering algorithm, so that interplanetary landing autonomous navigation in the unknown environment is realized, and accurate and safe landing of the lander is ensured.
The purpose of the invention is realized by the following technical scheme.
The invention discloses a curve matching visual navigation method for planet landing in an unknown environment, which comprises the steps of firstly establishing a lander kinematic model by combining inertia measurement information, then establishing a measurement model based on interframe curve matching by using a sequence image obtained in the descending process of the lander, and finally estimating the absolute motion state of the lander in real time by a Kalman filtering algorithm, thereby realizing the curve matching visual navigation for the planet landing in the unknown environment, improving the precision of a navigation system and ensuring the stability of the navigation system.
The invention discloses a planet landing curve matching visual navigation method in an unknown environment, which comprises the following steps:
step 1: and establishing a lander kinematic model.
In order to describe the position and attitude of the lander in the air and the relative geometrical relationship between the lander and the visual characteristics of the target celestial surface and define the motion equation of the lander in the relevant reference system, the following relevant coordinate system is firstly introduced: a landing site coordinate system { L }, a navigation camera body coordinate system { C } and a lander body coordinate system { B }. The position and attitude parameters of the lander are both described in the landing site coordinate system. The landing device body coordinate system and the navigation camera coordinate system are superposed, namely the installation matrix of the optical navigation camera and the landing device is a unit matrix. And (3) not considering the planetary rotation influence, establishing a lander landing kinematic equation by utilizing IMU measurement information as follows:
wherein the inertia information acceleration aimuAnd angular velocity ωimuThe measurement model is
Wherein the content of the first and second substances,Lr andLv respectively represents the position and the speed of the lander under a landing point coordinate system;is the quaternion of the attitude,is a transformation matrix from a landing point coordinate system to a lander body coordinate system, which is abbreviated as C (q);Lg is gravitational acceleration, ngDisturbance of gravitational acceleration; baAnd bωRespectively representing zero offset of an accelerometer and a gyroscope; n isaAnd nωAccelerometer and gyroscope, respectively, measure noise; n iswaAnd nwωAccelerometer and gyroscope bias noise, respectively;La represents the acceleration resulting from the resultant force acting on the lander in addition to the gravitational force;Bomega represents the rotation angular speed of the lander relative to the landing point coordinate system under the lander body coordinate system; for any angular velocity ω ═ ωx ωy ωz]TΩ (. cndot.) is defined as
Step 2: and establishing a measurement model based on inter-frame curve matching for updating the motion state of the lander.
The landing area is approximately planar, and the meteorite crater is represented as the landing site coordinate system { L }
WhereinIs any point on the edge of the meteorite crater under the coordinate system of the landing site.
Adopting pinhole imaging model to land any point on the planeLx=[Lx Ly Lz]TThe image point u in the ith descending image is [ u v ]]TIs composed of
Since the landing area is approximately planar, thenLz is 0, and formula (4) is written as
Wherein
Merle crater is represented in the ith descending image as
Then the meteorite crater curve E is obtained from the formula (3), the formula (5) and the formula (8)iIs composed of
WhereinIs the parameter of the meteorite crater edge curve,to measure noise, vech (·) represents a vectorized version of a symmetric matrix, vec (·) represents a vectorized version of an arbitrary matrix, matrix H is a transition matrix between vech (·) and vec (·),
since the meteorite absolute position information Q is unknown, equation (10) cannot be used directly for state estimation.
Meteorite crater Q is observed in two continuous descending images, and the lander is at t1And t2The meteorite crater image curves observed at the moment are respectively
Is obtained by formula (13) and formula (14)
and step 3: and (3) by combining the lander kinematic model established in the step (1) and the measurement model based on the unknown curve characteristics established in the step (2), estimating the absolute motion state of the lander in real time by using a Kalman filtering algorithm, realizing interplanetary landing autonomous navigation in an unknown environment, and ensuring accurate and safe landing of the lander.
In order to solve the problem of nonlinearity of the unknown curve characteristic measurement model established in the step 2, the unscented Kalman filtering algorithm is preferably selected as the Kalman filtering algorithm in the step 3.
When the unscented kalman filter algorithm is selected in step 3, the specific implementation method in step 3 is as follows:
step 3.1: the lander state equation is obtained based on the lander kinematic model established by using the inertia measurement information in the step 1
WhereinA differential form of the representation of the state,Lrcandrepresenting the position and attitude quaternion of the lander at the previous imaging instant, w representing the state noise, Qk=E[wwT]Is a state noise covariance matrix.
Step 3.2: based on the measurement model based on the unknown curve characteristics established in the step 2, the measurement model is obtained asIs composed of
zk=h(vech(Ek))+vk (19)
Wherein k is 1,2,3, …,vkto measure noise, Rk=E{vk(vk)TAnd is the measurement noise covariance matrix.
Step 3.3: and estimating the absolute motion state of the lander in real time by using an unscented Kalman filtering algorithm, realizing interstellar landing autonomous navigation in an unknown environment, and ensuring accurate and safe landing of the lander.
Step 3.3.1: initializing lander motion state
Wherein x0Andrespectively representing the initial state of the lander and its mean value, P0Representing the lander initial state covariance matrix.
Step 3.3.3: and (4) establishing a lander motion state time propagation equation by using the formula (18).
Step 3.3.4: and establishing a lander motion state measurement updating equation by using the formula (19).
In the above formula n represents the state dimension,
Step 3.3.5: the real-time absolute motion state of the lander is obtained by using the formulas (22) and (23)Andnamely, the interplanetary landing autonomous navigation under the unknown environment is realized, and the accurate and safe landing of the lander is ensured.
Has the advantages that:
1. the invention discloses a visual navigation method for planet landing curve matching in an unknown environment, and provides a visual navigation method for a lander by using inter-frame curve matching.
2. The invention discloses a planet landing curve matching visual navigation method in an unknown environment, which utilizes inter-frame curve matching as a measurement model, so that the absolute motion state of a lander can be estimated without prior map information, and the stability of a navigation system is improved.
3. Because the surfaces of the planet and the small celestial body have curve characteristics, the curve matching visual navigation method for the planet landing in the unknown environment is not only suitable for the planet landing task, but also suitable for the small celestial body landing task.
Drawings
FIG. 1 is a flow chart of a planetary landing curve matching visual navigation method in an unknown environment;
FIG. 2 shows the lander position estimation error and its 3 σ filter standard deviation;
FIG. 3 is a lander velocity estimation error and its 3 σ filter standard deviation;
FIG. 4 shows the lander attitude estimation error and its 3 σ filter standard deviation.
Detailed Description
For a better understanding of the objects and advantages of the present invention, reference should be made to the following detailed description taken in conjunction with the accompanying drawings and examples.
As shown in fig. 1, the method for visual navigation by planet landing curve matching in unknown environment disclosed in this example includes the following specific steps:
step 1: and establishing a lander kinematic model.
In order to describe the position and attitude of the lander in the air and the relative geometrical relationship between the lander and the visual characteristics of the target celestial surface and define the motion equation of the lander in the relevant reference system, the following relevant coordinate system is firstly introduced: a landing site coordinate system { L }, a navigation camera body coordinate system { C } and a lander body coordinate system { B }. The position and attitude parameters of the lander are both described in the landing site coordinate system. The landing device body coordinate system and the navigation camera coordinate system are superposed, namely the installation matrix of the optical navigation camera and the landing device is a unit matrix. And (3) not considering the planetary rotation influence, establishing a lander landing kinematic equation by utilizing IMU measurement information as follows:
wherein the inertia information acceleration aimuAnd angular velocity ωimuThe measurement model is
Wherein the content of the first and second substances,Lr andLv respectively represents the position and the speed of the lander under a landing point coordinate system;is the quaternion of the attitude,is a transformation matrix from a landing point coordinate system to a lander body coordinate system, which is abbreviated as C (q);Lg is gravitational acceleration, ngDisturbance of gravitational acceleration; baAnd bωRespectively representing zero offset of an accelerometer and a gyroscope; n isaAnd nωAccelerometer and gyroscope, respectively, measure noise; n iswaAnd nwωAccelerometer and gyroscope bias noise, respectively;La represents the acceleration resulting from the resultant force acting on the lander in addition to the gravitational force;Bomega represents the rotation angular speed of the lander relative to the landing point coordinate system under the lander body coordinate system; for any angular velocity ω ═ ωx ωy ωz]TΩ (. cndot.) is defined as
Step 2: and establishing a measurement model based on inter-frame curve matching for updating the motion state of the lander.
The landing area is approximately planar, and the meteorite crater is represented as the landing site coordinate system { L }
Wherein1]TIs any point on the edge of the meteorite crater under the coordinate system of the landing site.
Adopting pinhole imaging model to land any point on the planeLx=[Lx Ly Lz]TThe image point u in the ith descending image is [ u v ]]TIs composed of
Where a is a non-zero constant, where,f is the focal length of the camera, Ri=C(qi)。
Since the landing area is approximately planar, thenLz is 0, and formula (28) is written as
Wherein
Merle crater is represented in the ith descending image as
Then the meteorite crater curve E is obtained from the formula (27), the formula (29) and the formula (32)iIs composed of
WhereinIs the parameter of the meteorite crater edge curve,to measure noise, vech (·) represents a vectorized version of a symmetric matrix, vec (·) represents a vectorized version of an arbitrary matrix, matrix H is a transition matrix between vech (·) and vec (·),
since the meteorite absolute position information Q is unknown, equation (34) cannot be used directly for state estimation.
Meteorite crater Q is observed in two continuous descending images, and the lander is at t1And t2Time of dayObserved meteorite crater image curves are respectively
Is obtained by formula (37) and formula (38)
and step 3: and (3) by combining the lander kinematic model established in the step (1) and the measurement model based on the unknown curve characteristics established in the step (2), estimating the absolute motion state of the lander in real time by using a Kalman filtering algorithm, realizing interplanetary landing autonomous navigation in an unknown environment, and ensuring accurate and safe landing of the lander.
In order to solve the problem of nonlinearity of the measurement model based on the unknown curve characteristics established in the step 2, the unscented kalman filter algorithm is preferred as the kalman filter algorithm in the step 3.
When the unscented kalman filter algorithm is selected in step 3, the specific implementation method in step 3 is as follows:
step 3.1: the lander state equation is obtained based on the lander kinematic model established by using the inertia measurement information in the step 1
WhereinA differential form of the representation of the state,Lrcandrespectively representing landers at a preceding imaging moment
Position and attitude quaternions, w represents state noise, Qk=E[wwT]Is a state noise covariance matrix.
Step 3.2: based on the measurement model based on the unknown curve characteristics established in the step 2, the measurement model is obtained asIs composed of
zk=h(vech(Ek))+vk (43)
Wherein k is 1,2,3, …,vkto measure noise, Rk=E{vk(vk)TAnd is the measurement noise covariance matrix.
Step 3.3: and estimating the absolute motion state of the lander in real time by using an unscented Kalman filtering algorithm, realizing interstellar landing autonomous navigation in an unknown environment, and ensuring accurate and safe landing of the lander.
Step 3.3.1: initializing lander motion state
Wherein x0Andrespectively representing the initial state of the lander and its mean value, P0Representing the lander initial state covariance matrix.
Step 3.3.3: and establishing a lander motion state time propagation equation by using the formula (42).
Step 3.3.4: and establishing a lander motion state measurement updating equation by using the formula (43).
Wherein n represents a state dimension, n is 23,
therein 10-4≤α≤1,κ=3-n,β=2
Step 3.3.5: the real-time absolute motion state of the lander is obtained by using the formulas (46) and (47)Andthe planet landing autonomous navigation under the unknown environment is realized, and the accurate and safe landing of the lander is ensured.
In Matlab environment, a curve is used for carrying out mathematical simulation verification by taking Mars landing detection as a background. And when the lander reaches a position 100m above the landing point, the simulation is finished, and the landing time is 120 s. The navigation camera has 45 degrees of field angle and 14.6mm of focal length, and measures 1 pixel of noise. The IMU adopts LN-200 and the sampling frequency is 50 HZ. The initial state of the lander is shown in table 1, the initial error of the position in each direction is 500m, the initial error of the speed in each direction is 1m/s, and the initial error of the attitude in each direction is 1 °. Process noise covariance Q of
Q=diag([2.4×10-13I 2.4×10-13I 2.5×10-7I 1.2×10-7I 1.2×10-8I])
TABLE 1 simulation parameters
The above detailed description is intended to illustrate the objects, aspects and advantages of the present invention, and it should be understood that the above detailed description is only exemplary of the present invention and is not intended to limit the scope of the present invention, and any modifications, equivalents, improvements and the like made within the spirit and principle of the present invention should be included in the scope of the present invention.
Claims (4)
1. The planet landing curve matching visual navigation method under the unknown environment is characterized by comprising the following steps: the method comprises the following steps:
step 1: establishing a lander kinematic model;
step 2: establishing a measurement model based on interframe curve matching for updating the motion state of the lander;
and step 3: combining the lander kinematics model established in the step 1 and the measurement model based on the unknown curve characteristics established in the step 2, estimating the absolute motion state of the lander in real time by using a Kalman filtering algorithm, realizing interplanetary landing autonomous navigation in an unknown environment, and ensuring accurate and safe landing of the lander;
the specific implementation method of the step 1 is that,
in order to describe the position and attitude of the lander in the air and the relative geometrical relationship between the lander and the visual characteristics of the target celestial surface and define the motion equation of the lander in the relevant reference system, the following relevant coordinate system is firstly introduced: a landing site coordinate system { L }, a navigation camera body coordinate system { C } and a lander body coordinate system { B }; the position and attitude parameters of the lander are described in a landing point coordinate system; the landing device body coordinate system and the navigation camera coordinate system are overlapped, namely the installation matrix of the optical navigation camera and the landing device is a unit array; and (3) not considering the planetary rotation influence, establishing a lander landing kinematic equation by utilizing IMU measurement information as follows:
wherein the inertia information acceleration aimuAnd angular velocity ωimuThe measurement model is
Wherein the content of the first and second substances,Lr andLv respectively represents the position and the speed of the lander under a landing point coordinate system;is the quaternion of the attitude,is a transformation matrix from a landing point coordinate system to a lander body coordinate system, which is abbreviated as C (q);Lg is gravitational acceleration, ngDisturbance of gravitational acceleration; baAnd bωRespectively representing zero offset of an accelerometer and a gyroscope; n isaAnd nωAccelerometer and gyroscope, respectively, measure noise; n iswaAnd nwωAccelerometer and gyroscope bias noise, respectively;La represents the acceleration resulting from the resultant force acting on the lander in addition to the gravitational force;Bomega represents the rotation angular speed of the lander relative to the landing point coordinate system under the lander body coordinate system; for any angular velocity ω ═ ωx ωy ωz]TΩ (. cndot.) is defined as
The specific implementation method of the step 2 is that,
the landing area is approximately planar, and the meteorite crater is represented as the landing site coordinate system { L }
WhereinAny point on the edge of the meteorite crater under the coordinate system of the landing point;
adopting pinhole imaging model to land any point on the planeLx=[Lx Ly Lz]TThe image point u in the ith descending image is [ u v ]]TIs composed of
Where a is a non-zero constant, where,f is the focal length of the camera, Ri=C(qi);
Since the landing area is approximately planar, thenLz is 0, and formula (4) is written as
Wherein
WhereinLri x,Lri y,Lri zRepresenting the lander position component under the landing point coordinate system;
merle crater is represented in the ith descending image as
Then the meteorite crater curve E is obtained from the formula (3), the formula (5) and the formula (8)iIs composed of
Measurement of the jth Merle crater in the ith descending imageIs shown as
WhereinIs the parameter of the meteorite crater edge curve,to measure noise, vech (·) represents a vectorized version of a symmetric matrix, vec (·) represents a vectorized version of an arbitrary matrix, matrix H is a transition matrix between vech (·) and vec (·),
since the meteorite crater absolute position information Q is unknown, equation (10) cannot be used directly for state estimation;
meteorite crater Q is observed in two continuous descending images, and the lander is at t1And t2The meteorite crater image curves observed at the moment are respectively
Is obtained by formula (13) and formula (14)
WhereinIn order to measure the noise, it is,
2. the method for curve matching visual navigation of planetary landing in unknown environments as claimed in claim 1, wherein: in order to solve the problem of nonlinearity of the unknown curve characteristic measurement model established in the step 2, the unscented Kalman filtering algorithm is selected as the Kalman filtering algorithm in the step 3.
3. The method for curve matching visual navigation of planetary landing in unknown environments as claimed in claim 2, wherein: when the unscented kalman filter algorithm is selected in step 3, the specific implementation method of step 3 is as follows,
step 3.1: the lander state equation is obtained based on the lander kinematic model established by using the inertia measurement information in the step 1
WhereinA differential form of the representation of the state,Lrcandrepresenting the position and attitude quaternion of the lander at the previous imaging instant, w representing the state noise, Qk=E[wwT]Is a state noise covariance matrix;
step 3.2: based on the measurement model based on the unknown curve characteristics established in the step 2, the measurement model is obtained asIs composed of
zk=h(vech(Ek))+vk (19)
Wherein k is 1,2,3 …,vkto measure noise, Rk=E{vk(vk)TThe covariance matrix of the measured noise is used as the mean value;
step 3.3: and estimating the absolute motion state of the lander in real time by using an unscented Kalman filtering algorithm, realizing interstellar landing autonomous navigation in an unknown environment, and ensuring accurate and safe landing of the lander.
4. The method for curve matching visual navigation of planetary landing in unknown environments as claimed in claim 3, wherein: step 3.3 the specific implementation method is that,
step 3.3.1: initializing lander motion state
Wherein x0Andrespectively representing the initial state of the lander and its mean value, P0Representing an initial state covariance matrix of the lander;
Step 3.3.3: establishing a lander motion state time propagation equation by using a formula (18);
step 3.3.4: establishing a lander motion state measurement updating equation by using a formula (19);
in the above formula n represents the state dimension,
therein 10-4≤α≤1,κ=3-n,β=2
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