Abstract: For a kinematic modelled in a kinematics coordinate system by hingedly interconnected single axles, a method calculates a braking region possibly covered by at least one of the single axles connected to an origin of the kinematics coordinate system and at least one of the single axles moving relative to the origin. In the event of a braking process, for a point that is coupled to a single axle, at least one virtual end position of the point is determined from an initial position of the point, a vectorial speed of at least one single axle, and a minimum deceleration of at least one single axle. The braking region of the point is determined using an envelope of the initial position and the at least one virtual end position, the extent of the envelope being calculated from the initial position and the at least one virtual end position.

Abstract: In order to detect when a kinematic linkage leaves workspaces and/or enters safe spaces, using little computing power, and therefore doing so more quickly, at least a part of the kinematic linkage is modeled with a number of kinematic objects, and a monitoring space is specified. The number of kinematic objects is modeled in less than two dimensions D<2. For each modeled kinematic object, a geometric variable of a monitoring space is modified by a distance. Each distance is derived from at least one geometric parameter of the modeled kinematic object. The position of each of the number of kinematic objects is checked in relation to the modified monitoring spaces.

Abstract: For a kinematic modelled in a kinematics coordinate system by hingedly interconnected. single axles, a method calculates a braking region possibly covered by at least one of the single axles connected to an origin of the kinematics coordinate system and at least one of the single axles moving relative to the origin, in the event of a braking process, for a point that is coupled to a single axle, at least one virtual end position of the point is determined from an initial position of the point, a vectorial speed of at least one single axle, and a minimum deceleration of at least one single axle. The braking region of the point is determined using an envelope of the initial position and the at least one virtual end position, the extent of the envelope being calculated from the initial position and the at least one virtual end position.

Abstract: The invention relates to a method for monitoring the safety of a joint (12) of a serial kinematic structure (30), which carries out tasks within a work region (100) under the control of a control unit (20), wherein a current state variable of the joint (12), such as the absolute position (AP) or the time derivatives thereof, is determined cyclically during operation from the current axis position (P) of the joint (12) and compared to a configurable limit value (SA, TA, SL), wherein a function module (3, 4, 5) is used to monitor the state variable. A function module (3, 4, 5) is assigned to each state variable to be monitored. These function modules (3, 4, 5) are designed independently of the control unit (20) of the serial kinematic structure (30), whereby the safety monitoring system (10) can be operated concurrently with and independently of the control unit (20) of the serial kinematic structure (30).

Abstract: In order to detect when a kinematic linkage (1) leaves workspaces (WS) and/or enters safe spaces (SS), using, little computing power, and therefore doing so more quickly, at least a part of the kinematic linkage (1) is modeled with a number of kinematic objects (K1, K2, K3, K4), and a monitoring space (S) is specified, The number of kinematic objects (K1, K2, K3, K4) is modeled in less than two dimensions D<2. For each modeled kinematic object (K1, K2, K3, K4), a geometric variable of a monitoring space (S) is modified by a distance (d1, d2, d3, d4). Each distance (d1, d2, d3, d4) is derived from at least one geometric parameter (P1, P2, P3) of the modeled kinematic object (K1, K2, K3, K4), The position of each of the number of kinematic objects (K1, K2, K3, K4) is checked in relation to the modified monitoring spaces (S1, S2, S3, S4).

Abstract: The invention relates to a method for monitoring the safety of a joint (12) of a serial kinematic structure (30), which carries out tasks within a work region (100) under the control of a control unit (20), wherein a current state variable of the joint (12), such as the absolute position (AP) or the time derivatives thereof, is determined cyclically during operation from the current axis position (P) of the joint (12) and compared to a configurable limit value (SA, TA, SL), wherein a function module (3, 4, 5) is used to monitor the state variable. A function module (3, 4, 5) is assigned to each state variable to be monitored. These function modules (3, 4, 5) are designed independently of the control unit (20) of the serial kinematic structure (30), whereby the safety monitoring system (10) can be operated concurrently with and independently of the control unit (20) of the serial kinematic structure (30).