摘要:
The method estimates movement of a solid mobile in a medium capable of generating disturbances defined by a three-variable vector, wherein the movement is defined by a six-variable vector and the solid is equipped with at least one sensor sensitive to acceleration having at least three sensitive axes and at least one sensor sensitive to the magnetic field having at least three sensitive axes. The method for estimating the movement of a solid includes a step of calculating a nine-variable vector consisting of the six-variable movement vector and of the three-variable disturbance vector and a step of weighting the nine-variable vector capable of transforming the nine-variable vector into a vector with not more than five variables to be estimated.
摘要:
A method for calibrating coefficients of an observer of a variable state of a physical system from measurements of physical quantities of the system, at different instants includes measuring a variable of the physical system at several instants, the variable being a function of a system state variable, and determining a vector of coefficients that minimizes a sum of the number of measurements of a square of a norm of a vector that is the difference between the measured variable and a function of the system state variable and the vector of coefficients. The minimization is subject to a constraint that the trajectory of the measured variable be within a corridor of uncertainty on either side of a trajectory of its estimate, at least for the measurement instants.
摘要:
A method for identifying faulty measurement axes of a triaxis sensor fixed to a mobile object includes using triaxis sensor Cj fixed to the object, measuring vector bmj, using triaxis sensor Ci fixed to the object, measuring vector bmi, the fields being represented by normalized vectors ri and rj such that scalar and vector products of ri and rj are known at any point, building vector bej corresponding to an estimate of the measurement by Cj at the measurement point without bmj, obtaining residues based on bej and bmj and identifying faulty measurements of Cj having as a function of residues, wherein building bej comprises using scalar and vector products of ri and rj, and bmi so that a direction of bej relative to bmi matches a direction of rj relative to ri.
摘要:
A method for detecting a substantially invariant rotation axis of a motion of a mobile body equipped with at least one inertial or magnetic sensor with three sensitive axes that includes acquiring physical measurements with respect to the three sensitive axes of the sensor, the physical measurements including at least three samples at different times, estimating a substantially invariant rotation axis in the physical measurements space, and identifying the estimated axis as the substantially invariant rotation axis of the motion. In one aspect, the method is applicable for estimating the motion of a mobile body rotating about a substantially invariant axis.
摘要:
A method determining values of parameters representing a movement of an entity represented by an articulated chain, by a sensor assembly including at least one sensor for a parameter representing an orientation of a first segment of the articulated chain, the method including: reception of an orientation value measured and supplied by the orientation sensor; estimation of a value of at least one first parameter representing a movement of the first segment by processing the orientation value; and, based on a predetermined movement model of the articulated chain, as a time change model, including at least one relationship of time dependency between the at least one first parameter and at least one other parameter representing a movement of another segment of the articulated chain: estimation of a value of the at least one other parameter by application of the time change model to the estimated value of the at least one first parameter.
摘要:
This method for calibrating coefficients of an observer of a variable state comprises: the measurement (50) of a variable zk of the physical system at N different instants, this variable zk being a function of the state variable xk, the determining (54) of a vector p of coefficients which minimizes the following criterion in complying with a predetermined set Δ of constraints: { f ( p ) = ∑ k = 1 N z k - φ ( x ^ k , p ) 2 } where: {circumflex over (x)}k is the estimation of the variable xk built by the observer calibrated with the coefficients of the vector p at the instant k, φ is a known function which links the estimation {circumflex over (x)}k to an estimation {circumflex over (z)}k of the variable zk, ∥ . . . ∥2 is a norm, and the constraint or the constraints of the set Δ dictate that the trajectory of the variable zk should be included in a corridor of uncertainty situated on either side of the trajectory of the estimation {circumflex over (z)}k at least for the majority of the instants k.
摘要:
A method for estimating a path of a moving element or body using a sensor assembly includes: receiving acceleration values provided by an accelerometer; receiving angular velocity values provided by a gyrometer; processing the values provided for estimating at least one angular position value using the angular velocity values and at least two Cartesian position values defining a path of the moving element or body using acceleration values and the at least one previously estimated angular position value; estimating rotation parameters, by inverting a rotational realignment model of the estimated path subject to prior knowledge of the path; retroactively correcting the at least one estimated angular position value, by applying a rotation on this value using estimated rotation parameters, so as to provide at least one corrected angular position value.
摘要:
A method for estimating a path of a moving element or body using a sensor assembly includes: receiving acceleration values provided by an accelerometer; receiving angular velocity values provided by a gyrometer; processing the values provided for estimating at least one angular position value using the angular velocity values and at least two Cartesian position values defining a path of the moving element or body using acceleration values and the at least one previously estimated angular position value; estimating rotation parameters, by inverting a rotational realignment model of the estimated path subject to prior knowledge of the path; retroactively correcting the at least one estimated angular position value, by applying a rotation on this value using estimated rotation parameters, so as to provide at least one corrected angular position value.
摘要:
A method determining values of parameters representing a movement of an entity represented by an articulated chain, by a sensor assembly including at least one sensor for a parameter representing an orientation of a first segment of the articulated chain, the method including: reception of an orientation value measured and supplied by the orientation sensor; estimation of a value of at least one first parameter representing a movement of the first segment by processing the orientation value; and, based on a predetermined movement model of the articulated chain, as a time change model, including at least one relationship of time dependency between the at least one first parameter and at least one other parameter representing a movement of another segment of the articulated chain: estimation of a value of the at least one other parameter by application of the time change model to the estimated value of the at least one first parameter.
摘要:
Identifying measurement subset comprising a disturbed measurement disturbed by a magnetic disturber includes emitting and measuring magnetic fields using mono-axial source/mono-axial transducer pairs to obtain real measurements distinguished by position of a source used to emit the field, position of transducer used to measure the field, and field frequency, a source being tied to a mobile object and the transducer tied to a frame of reference in which a position of the mobile object is to be expressed (or vice versa), estimating position of the object in the reference frame based on an observer and involving only a first subset of the measurements, estimating the measurements based at least in part on the estimated position Pi and on a direct model linking the object's position to the measurements, and determining whether or not the first measurement subset comprises a disturbed measurement by comparing the estimated and real measurements.