Abstract: Method provided for implementation in a data processing device for monitoring a permissible integrity of a measured variable of a dynamic system with the steps: Determination of at least one measurement series with respectively one number (n) of measurements (zk) by means of at least one sensor device with respectively one predetermined measuring accuracy (?zk) and a predetermined actual sensor integrity ({1?pk}) related thereto, determination of a number (m) of measuring errors as a function of the actual sensor integrities ({1?pk}), as a function of the number (n) of measurements and as a function of a minimum integrity ({1?p0}), assignment of the determined accuracy range to an accuracy measurement, comparison of the determined accuracy measurement with a threshold value, and issuing a warning as soon as a desired value has been reached, fallen below or exceeded.

Abstract: In a process and apparatus for determining the state of a body, a number n of measured values {right arrow over (x)}i of a state of the body with i=1, . . . , n are measured and recorded, the measured values {right arrow over (x)}i representing points in the k-dimensional space. The measured values {right arrow over (x)}i of the state are then fed to a Kalman filter for estimating the state of the body. For each number n of measured values {right arrow over (x)}i of a state of the body, a first quantity {right arrow over (m)}n and a second quantity rn are derived, and are fed to the Kalman filter, the quantity {right arrow over (m)}n being the center vector, and the quantity rn being the radius of a k-dimensional sphere Bn within which all points {right arrow over (x)}i are situated.

Abstract: Method for the database-driven estimate of an output quantity in a k-dimensional value range. The method includes determining a location probability range Ri for a k-dimensional output quantity for an element i of a measurement series {i=1, . . . ,n}, in which the location probability range Ri is limited by a lower (k?1) dimensional area and an upper (k?1) dimensional area, both of which are predetermined or parameterized with sensor measured values or derived from a database taking into account additional sensor measured values, and quantizing the lower limiting area and the upper limiting area by assigning a lower limiting value and an upper limiting value of the ith location probability range Ri to each point in a predetermined (k?1) dimensional search grid. The index i=1, . . . ,n refers to the respective location probability range Ri and the index v refers to the points in the search grid.

Abstract: Method provided for implementation in a data processing device for monitoring a permissible integrity of a measured variable of a dynamic system with the steps: Determination of at least one measurement series with respectively one number (n) of measurements (zk) by means of at least one sensor device with respectively one predetermined measuring accuracy (?zk) and a predetermined actual sensor integrity ({1?pk}) related thereto, determination of a number (m) of measuring errors as a function of the actual sensor integrities ({1?pk}), as a function of the number (n) of measurements and as a function of a minimum integrity ({1?p0}), assignment of the determined accuracy range to an accuracy measurement, comparison of the determined accuracy measurement with a threshold value, and issuing a warning as soon as a desired value has been reached, fallen below or exceeded.