“…and the following differential algebraic equation (DAE) system if the robot needs to interact with surfaces or perform haptics [84], [85], [86], [79] Figure 5. C(q,q), G(q) are the mass and inertia, Coriolliscentripal and gravity matrices still unknownt, B(q) is a vector of possible air-friction forces,φ(q) represents the vector of algebraic holonomic constraints of the end effector motion (geometry of a wall or surface), J T Φ (q) is the Jacobian matrix of the constraint function φ(q), λ is the constraint force (for example surface hardness) Figure 5.…”