This invention relates to a system and method of estimating body states of a vehicle.
Dynamic control systems have been recently introduced in automotive vehicles for measuring the body states of the vehicle and controlling the dynamics of the vehicle based on the measured body states. For example, certain dynamic stability control systems known broadly as control systems compare the desired direction of the vehicle based on the steering wheel angle, the direction of travel and other inputs, and control the yaw of the vehicle by controlling the braking effort at the various wheels of the vehicle. By regulating the amount of braking torque applied to each wheel, the desired direction of travel may be maintained. Commercial examples of such systems are known as dynamic stability program (DSP) or electronic stability program (ESP) systems.
Other systems measure vehicle characteristics to prevent vehicle rollover and for tilt control (or body roll). Tilt control maintains the vehicle body on a plane or nearly on a plane parallel to the road surface, and rollover control maintains the vehicle wheels on the road surface. Certain systems use a combination of yaw control and tilt control to maintain the vehicle body horizontal while turning. Commercial examples of these systems are known as active rollover prevention (ARP) and rollover stability control (RSC) systems.
Typically, such control systems referred here collectively as dynamic stability control systems use dedicated sensors that measure the yaw or roll of the vehicle. However, yaw rate and roll rate sensors are costly. Therefore, it would be desirable to use a general sensor to measure any body state of the vehicles, that is, a sensor that is not necessarily dedicated to measuring the roll or yaw of the vehicle.
In general, the present invention features a system and method for estimating body states of a vehicle. The system includes at least two sensors mounted to the vehicle. The sensors generate measured signals corresponding to the dynamic state of the vehicle. A signal adjuster or signal conditioner transforms the measured vehicle states from a sensor coordinate system to a body coordinate system associated with the vehicle. A filter receives the transformed measured vehicle states from the signal adjuster and processes the measured signals into state estimates of the vehicle, such as, for example, the lateral velocity, yaw rate, roll angle, and roll rate of the vehicle.
The filter may include a model of the vehicle dynamics and a model of the sensors such that the states estimates are based on the transformed measured signals and the models of the vehicle dynamics and sensors. The filter may also include an estimator implemented with an algorithm that processes the transformed measured vehicle states and the models of the vehicle dynamics and sensors and generates the state estimates.
The present invention enables measuring the body states of a vehicle with various types of sensors that may not be as costly as dedicated roll or yaw rate sensors. For example, the sensors may all be linear accelerometers. However, in some implementations, it may be desirable to use an angular rate sensor in combination with linear accelerometers.
Other features and advantages will be apparent from the following drawings, detailed description and claims.
In accordance with an embodiment of the invention,
The system 10 also includes a signal conditioner or adjuster 18 that receives measured signals from the sensors 14 and a filter 20 that receives the adjusted signals from the signal adjuster 18. In certain embodiments, the filter 20 is a Kalman filter including a model of the vehicle dynamics 22 and a model of the sensors 24. These models are described below in greater detail.
The signal adjuster 18 and the sensor model 24, which incorporates the model of the vehicle dynamics 22, provide inputs to an estimator 26. An algorithm with a feed back loop 28 is implemented in the estimator 26 to process the transformed signals with the models of the vehicle dynamics and the sensors. The output from the estimator 26 is the state estimates {right arrow over (x)}v. The body states estimates may include the roll angle, roll rate, yaw rate, and lateral velocity, as well as other body states.
In some embodiments, the sensors 14 measure the linear acceleration at a particular location where the sensor is mounted to the vehicle. When the sensors are not aligned in a plane perpendicular to the axis of interest, the measured values contain biases proportional to the angular rates about other axes. Similarly, when the measurement axes of the sensing devices are not coincident, the measured values contain biases proportional to the angular acceleration about other axes. Moreover, when the measurement axes of the sensing devices are not coincident and are not mounted along a body reference axis, the measured values contain unique gravity biases dependent upon the difference in mounting angle of the sensors and the body lean angle of the vehicle.
To address these biases, a general implementation of the system 10 can be employed as illustrated in
Pi(xi, yi, zi, θi, χi, φi), (1)
where xi, yi, zi are the space coordinates of the sensor Si, θi is the sensor yaw angle, that is, the orientation of the sensor's measurement axis in the XB, YB plane with respect to the XB axis, χi is the sensor pitch angle, that is, the orientation of the sensor's measurement axis with respect to the XB, YB plane, and φi is the sensor roll angle, which is the rotation about the respective measurement axis.
The sensors Si measure the linear acceleration at the location Pi, namely, {right arrow over (α)}i={right arrow over (m)}i·|mi|=[αxi, αyi, αzi]T, where {right arrow over (m)}i is the unit vector along the measurement axis, and |mi| is the magnitude of the acceleration along the measurement axis.
Since the acceleration {right arrow over (α)}i measured by the sensor Si is the acceleration in the sensor coordinate system, the measured accelerations are transferred to a body coordinate system. In certain embodiments, it is assumed that in an array of single axis accelerometers each accelerometer has a measurement axis referred to as the xsensor axis. Accordingly, the transformation from the sensor coordinate system to the body coordinate system is provided by the expression
and [xsensor ysensor zsensor]T=[1 0 0]T, since xsensor is assumed to be the measurement axis for each of the single axis accelerometers.
Note that the transformation identified in Equation (2) is typically performed in the signal adjuster 18 (
Regarding the Kalman Filter 20, the model of the vehicle dynamics 22 for a state vector
{right arrow over (x)}v=[{dot over (y)}vrvθv{dot over (θ)}v]T (3)
is provided by the expression
As for the model of the sensors 24, the model of laterally oriented sensors is provided by the expression
Ay,meas=ÿv+{dot over (r)}vdxtoYA+{umlaut over (θ)}vdztoRA+rvu (6)
Accordingly, since Ay,meas=αy,body from Equation (2), substituting the expressions for ÿv, {dot over (r)}v, {umlaut over (θ)}v, and rv from Equation (5) into Equation (6) yields the expression
where αkl is the element in the k row and l column of the matrix A, dxtoYA is the distance along the x axis from a sensor to the yaw axis, and dztoRA is the distance along the z axis from the sensor to the roll axis.
The model for vertically oriented sensors is
Az,meas=−g+{umlaut over (θ)}vdytoRA (8)
Hence, from Equations (2) and (5)
where dytoRA is the distance along the y axis to the roll axis.
And for longitudinally oriented sensors, the sensor model is provided by the expression
Ax,meas=−{dot over (r)}vdytoYA (10)
such that upon employing Equations (2) and (5), Equation (10) becomes
where ddytoYA is the distance along the y axis to the yaw axis and b21 is the element in the second row and first column of the matrix B.
The algorithm implemented in the estimator 26 processes the expressions from Equations (7), (9), and (11) through a filter (an estimation algorithm) to provide the estimates for the state vector {right arrow over (x)}v=[{dot over (y)}v rv θv {dot over (θ)}v]T.
Note that the above discussion is directed to obtaining a solution for the state vector {right arrow over (x)}v in continuous time. Therefore, {right arrow over ({dot over (x)}v, is typically discretized according to the expression
{right arrow over (x)}v(k+1)=Ad{right arrow over (x)}v(k)+Bd{right arrow over (u)}(k) (12)
where k identifies the kth time step and the matrices A and B can be discretized according to the approximations
Ad=In+Δk·A
and
Bd=Δk·B
where In is the nth order identity matrix, which in this case is a fourth order identity matrix, and Δk is the time step.
Although the above embodiment is directed to a sensor set with linear accelerometers, hybrid-sensor-sets are contemplated. For example, an angular rate sensor can be used in the vehicle 12 and a model of that sensor can be used in the “Kalman Filter” box 20. Specifically, for a yaw rate sensor, the model is [0 1 0 0], that is, the sensor measures yaw rate and nothing else.
Hence, in stability control, in which measuring yaw rate and roll rate/angle is useful, four accelerometers can be used for the sensors 14. Alternatively, for a hybrid system, two accelerometers and an angular rate sensor may be employed. Other examples of hybrid systems include, but are not limited to, two lateral and two vertical accelerometers; two lateral, two longitudinal, and two vertical accelerometers; and two lateral, two vertical accelerometers, and an angular rate sensor.
Other embodiments are within the scope of the claims.
Number | Name | Date | Kind |
---|---|---|---|
4601206 | Watson | Jul 1986 | A |
4865347 | Fukushima et al. | Sep 1989 | A |
5098119 | Williams et al. | Mar 1992 | A |
5383363 | Kulmaczewski | Jan 1995 | A |
5383680 | Bock et al. | Jan 1995 | A |
5396423 | Fujimura et al. | Mar 1995 | A |
5742918 | Ashrafi et al. | Apr 1998 | A |
5742919 | Ashrafi et al. | Apr 1998 | A |
5787375 | Madau et al. | Jul 1998 | A |
5790966 | Madau et al. | Aug 1998 | A |
5809434 | Ashrafi et al. | Sep 1998 | A |
5852787 | Fodor et al. | Dec 1998 | A |
5948027 | Oliver, Jr. et al. | Sep 1999 | A |
5971503 | Joyce et al. | Oct 1999 | A |
6122568 | Madau et al. | Sep 2000 | A |
6128955 | Mimura | Oct 2000 | A |
6158274 | Guo et al. | Dec 2000 | A |
6169939 | Raad et al. | Jan 2001 | B1 |
6220095 | Fennel et al. | Apr 2001 | B1 |
6233505 | Kranz et al. | May 2001 | B1 |
6249721 | Lohberg et al. | Jun 2001 | B1 |
6259982 | Williams et al. | Jul 2001 | B1 |
6263261 | Brown et al. | Jul 2001 | B1 |
6282474 | Chou et al. | Aug 2001 | B1 |
6324446 | Brown et al. | Nov 2001 | B1 |
6327526 | Hagan | Dec 2001 | B1 |
6330496 | Latarnik et al. | Dec 2001 | B1 |
6332104 | Brown et al. | Dec 2001 | B1 |
6338012 | Brown et al. | Jan 2002 | B2 |
6347541 | Maleki | Feb 2002 | B1 |
6351694 | Tseng et al. | Feb 2002 | B1 |
6353777 | Harmison et al. | Mar 2002 | B1 |
6356188 | Meyers et al. | Mar 2002 | B1 |
6364435 | Gronau et al. | Apr 2002 | B1 |
6366844 | Woywod et al. | Apr 2002 | B1 |
6374163 | Lou et al. | Apr 2002 | B1 |
6397127 | Meyers et al. | May 2002 | B1 |
6409286 | Fennel | Jun 2002 | B1 |
6424907 | Rieth et al. | Jul 2002 | B1 |
6434451 | Lohberg et al. | Aug 2002 | B1 |
6435626 | Kostadina | Aug 2002 | B1 |
6438464 | Woywod et al. | Aug 2002 | B1 |
6471218 | Burdock et al. | Oct 2002 | B1 |
6477480 | Tseng et al. | Nov 2002 | B1 |
6496758 | Rhode et al. | Dec 2002 | B2 |
6526334 | Latarnik et al. | Feb 2003 | B1 |
6526342 | Burdock et al. | Feb 2003 | B1 |
6529803 | Meyers et al. | Mar 2003 | B2 |
6554293 | Fennel et al. | Apr 2003 | B1 |
6556908 | Lu et al. | Apr 2003 | B1 |
6593849 | Chubb et al. | Jul 2003 | B2 |
6614343 | Fennel et al. | Sep 2003 | B1 |
6631317 | Lu et al. | Oct 2003 | B2 |
6654674 | Lu et al. | Nov 2003 | B2 |
6671595 | Lu et al. | Dec 2003 | B2 |
6732033 | LaPlante et al. | May 2004 | B2 |
20010008986 | Brown et al. | Jul 2001 | A1 |
20020139599 | Lu et al. | Oct 2002 | A1 |
20030065430 | Lu et al. | Apr 2003 | A1 |
20030100979 | Lu et al. | May 2003 | A1 |
20030130775 | Lu et al. | Jul 2003 | A1 |
20030130778 | Hrovat et al. | Jul 2003 | A1 |
20040162654 | Lu et al. | Aug 2004 | A1 |
20050004721 | Einthoven et al. | Jan 2005 | A1 |
20050102083 | Xu et al. | May 2005 | A1 |
20050114072 | Choi | May 2005 | A1 |
20050149240 | Tseng et al. | Jul 2005 | A1 |
Number | Date | Country |
---|---|---|
WO 9747485 | Dec 1997 | WO |
WO 9930941 | Jun 1999 | WO |
WO 9930942 | Jun 1999 | WO |
WO 0003887 | Jan 2000 | WO |
WO 0003900 | Jan 2000 | WO |
WO 0112483 | Feb 2001 | WO |
WO 0236401 | Mar 2002 | WO |
WO 02100696 | Dec 2002 | WO |
WO 03002392 | Jan 2003 | WO |
Number | Date | Country | |
---|---|---|---|
20050216146 A1 | Sep 2005 | US |