The present invention will be described in detail with reference to the accompanying drawings. The method of the present invention makes use of the conditions featured in ground vehicle dynamics in addition to the GPS measurements for an integrated INS/GPS navigation system. Such vehicle dynamics conditions are determined by evaluating measured values obtained by inertial sensors which are low cost MEMS based sensors. In other words, in addition to a conventional integrated INS/GPS navigation system in which outputs of a GPS and an INS are combined by a Kalman filter, the measured values indicative of predefined vehicle dynamics conditions are also provided to the Kalman filter to obtain optimum estimates of the current position, velocity and orientation (direction) of the ground vehicle. As a result, errors involved in tracking the motion of the vehicle is corrected not only by the GPS but the vehicle dynamics conditioning as well. Since the vehicle dynamics conditioning is repeated by a frequency much higher than that of the GPS output, the amount of accumulated error becomes small because the error is corrected within a short period of time. Further, since the accumulated error becomes small, low cost, noisy MEMS sensors can be used in the integrated INS/GPS navigation system.
In
The IMU 32 has inertial sensors and a microprocessor. The inertial sensors are created through MEMS (microelectro mechanical system) technologies to detect accelerations and angular rates of three coordinates of the vehicle. The microprocessor processes the detected signals from the inertial sensors. Because the integrated INS/GPS navigation system 20 includes inertial sensors, it can also estimate a vertical position of the vehicle with accuracy much higher than that of the ordinary GPS navigation system. The IMU 32 produces the output data, for example, 100 times per second (100 Hz). The output data from the IMU 32 is supplied to the low-pass filtering unit 34 in which high frequency components thereof are removed. The output data from the low-pass filtering unit 34 is supplied to the navigation equation unit 36 where the current position, velocity and orientation of the vehicle are estimated through the inertial navigation technology.
The GPS receiver 40 receives signals from a plurality of satellites and calculates the estimated location and velocity of the vehicle by comparing clock signals and position and velocity data from the satellites. Typically, the GPS receiver 40 optimizes the obtained position and velocity data by the Kalman filter (KF-1) 42 to minimize the noises on the satellite signals. Typically, the GPS receiver 40 produces the position data every one second (1 Hz).
The estimated position data from the INS 30 and the estimated position data from the GPS receiver 40 are combined by the Kalman filter (KF-2) 50 which optimally estimates, in real time, the states of the navigation system based on such noisy measurement data. The Kalman gain unit 52 provides weight or gain to each parameter in the measurement data. The output of the Kalman filter 50 is provided to the navigation equation unit 36 which calculates the estimated position of the vehicle which will be displayed on a navigation monitor screen (not shown).
In this example, the VDC controller 25 measures the output data of the IMU 32 through the low-pass filter 34 to determine whether the vehicle is currently in which one of the conditions defined in the present invention. As will be described in detail later, the present invention classifies the current vehicle condition as either a normal, cornering or stationary condition. The VDC controller 25 provides the measured data indicative of one of the predefined vehicle dynamics conditions to the Kalman filter 50 so that the Kalman filter 50 incorporates the measured data to further optimize the position data. The VDC controller 25 produces the measured data at a rate higher than GPS measurement, for example, ten times per second (10 Hz).
Then, in the step 102, the integrated INS/GPS navigation system evaluates the outputs of three accelerometers and three gyroscopes in the IMU 32 mounted on the vehicle. Based on the outputs of the three accelerometers, the IMU 32 detects accelerations in the three (X, Y, Z) coordinates of the vehicle. Based on the output of the three gyroscopes, the IMU 32 detects angular rates in the three (X, Y, Z) coordinates of the vehicle. Within the context of the present invention, three coordinates X, Y, Z may also be referred to as forward, lateral and downward directions, respectively. Based on the accelerations and angular rates of the three coordinates of the vehicle, at the step 103, the VDC controller 25 (
In the step 104, the VDC controller 25 in the integrated INS/GPS navigation system 20 sends the measured values and the detected vehicle dynamics condition to the Kalman filter 50 (KF 2 in
In the step 106, the integrated INS/GPS navigation system 20 repeats the foregoing steps 102-105 to continuously optimize the position tracking accuracy. As noted above, the inertial sensors (accelerometers and gyroscopes) produce the sensor outputs 100 times per second (100 Hz) or higher, the VDC controller 25 can easily provide the measure values indicative of the vehicle dynamics condition to the Kalman filter at the repetition rate higher than GPS measurement such as 10 Hz. As known in the art, the position and velocity data from the GPS receiver indicating absolute position and velocity of the vehicle is produced at a typical rate of 1 Hz, thus, the error correction based on the vehicle dynamics conditioning is conducted several times faster than that of the GPS receiver, thereby minimizing the error accumulation. As a result, even when sufficient GPS signals are unavailable for a long period of time such as 2 minutes, the integrated INS/GPS navigation system 20 of the present invention is able to maintain the relatively high tracking accuracy.
As mentioned above, the present invention defines the vehicle dynamics as three conditions; normal condition, cornering condition, and stationary condition as follows:
Each condition will be described in detail in the following:
When large rotation is not detected, the following measurements are used in the Kalman filter 50 additionally to the GPS measurements:
The output data of the gyroscopes are used after bias corrections. Note that σvxv, σvyv, σvzv and threshold values are design parameters which may depend on the sensor performance and a designer's choice.
First, define large rotation to execute this condition as |r|>9.2 deg/s (0.16 rad/s). When this applies, the following measurements are used in the Kalman filter 50 additionally to the GPS measurements:
where
The vxv estimation in the first row is obtained by the relationship between ayv and r as explained in the following (see
It should be noted that the important exception as defined with the opposite sign: a vehicle often overshoots with significant sideslip velocity, and the sign of r could change in the middle of cornering. This motion is illustrated by the trajectory (3) in
This is justified by the following: assuming that instantaneous vyv will linearly decrease to 0 after dT seconds at the rate of the instantaneous ayv,
α−r dT=0, or, α=r dT
First, identify the stationary status through a procedure described by the flowchart in
Quiet Condition
|p|<0.46 deg/s∩|q|<0.46 deg/s∩|r|<0.57 deg/s∩|axv|<0.4 m/s2∩|ayv|<0.1 m/s2∩|axv|<0.1 m/s2∩|vxv|<3 m/s
Related Counters:
i=1(On) or 0(Off): Quiet Flag to tell if Quiet Condition is met unless Restart Condition is on
j: continuous count of successful Quiet Condition during a single stationary event
This is the basic condition for quiet IMU output suggesting potentially stationary vehicle. The threshold values to bound sensor output may depend on IMU performance.
Stationary Condition
j=20
When j reaches 20, it is regarded as that the vehicle is stationary.
Restart Condition
j≧20∩|axv|>0.15 m/s2
Even Quiet Condition is met, the vehicle could still be moving. For example, restarting motion from stationary condition can be very smooth without any peak in acceleration. Restart Condition will identify this case.
Peak Condition
max_ax>0.6 m/s2 where max_ax=max(aaxv(t)) for t=[t−1.5 s, t]
The threshold 0.6 m/s2 is a design parameter depending on a designer's decision
When a vehicle stops by breaking, as the magnitude of the forwarding velocity decreases in a step-function manner, there must be a peak in forwarding acceleration max_ax will be used to judge if there was a peak. Normally, Peak Condition followed by Quiet Condition will identify that the vehicle is stationary.
Being Quiet Condition
This means that if the vehicle is stationary but Quiet Condition does not follow Peak Condition, Quiet Condition must be continuing.
Very Quiet Condition
This condition is the same as Quiet Condition, except
|aaxv|<0.1m/s2
Related Counters:
m: total count of successful Very Quiet Condition during a single stationary event
n: continuous count of successful Very Quiet Condition during a single stationary event
This is a tighter condition for quiet IMU output. Not always, but in some cases this will tell us stationary condition.
The flow is executed at 10 Hz as an example here. When j reaches 20 or more, it is regarded as that the vehicle is stationary.
When stationary status is detected by j=20 or more, the following measurements are used in the Kalman filter 50 additionally to the GPS measurements:
v
xv
obs=0, σvxv=0.001 m/s
v
yv
obs=0, σvyv=0.001 m/s
v
zv
obs=0, σvzv=0.001 m/s
P=0, σP=Nωx
Q=0, σQ=Nωy
R=0, σR=Nωz
where
Use of the conditions for IMU outputs is up to a designer's choice. Application of Stationary Condition will stop wandering position estimates while the vehicle is stationary.
Application of the conditions prescribed in the present invention does not need to wait 1 Hz GPS measurement cycle. The VDC controller 25 sends the measured data indicative of one of the three conditions to the Kalman filter (KF 2) 50 at a frequency higher than GPS measurement such as 10 Hz. Thus, the Kalman filter's update is executed, for example, at 10 Hz based upon the normal condition and the cornering condition, and at 1 Hz based upon the stationary condition and the GPS measurement. This means that the error correction based on the vehicle dynamics conditioning is conducted faster than that of the GPS measurement, thereby minimizing the error accumulation.
As noted above, the vehicle dynamics conditioning is conducted at the repletion rate higher than GPS measurement, the time period (less than 1 second), which is several times shorter than that of the GPS measurement. Thus, as shown in
As noted above, in addition to the conventional Kalman filtering process, the measured data based upon the vehicle dynamics condition measured by the inertial sensors are incorporated in the Kalman filtering processing. The measured data are indicative of one of the three predefined vehicle dynamics conditions which help optimizing the position tracking through the Kalman filtering processing.
Meanwhile,
The three dimensional view of
As has been described above, according to the present invention, in addition to the conventional integrated INS/GPS navigation system in which outputs of the GPS and the INS are combined by using the Kalman filter, the measured values indicative of predefined vehicle dynamics conditions are also provided to the Kalman filter to obtain optimum estimates of the current position, velocity and orientation of the ground vehicle. As a result, errors involved in tracking the motion of the vehicle is corrected not only by the GPS but the vehicle dynamics conditioning as well. Since the vehicle dynamics conditioning is repeated by a frequency much higher than that of the GPS output, the amount of accumulated error becomes small because the error is corrected within a short period of time. Further, since the accumulated error becomes small, low cost and noisy MEMS sensors can be used in the integrated INS/GPS navigation system.