Matrix computations (3rd ed.)
Springer Handbook of Robotics
ICAISC'10 Proceedings of the 10th international conference on Artifical intelligence and soft computing: Part II
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A synthesis of a sliding mode control law, for a robot arm, based on the robot model with a positive definite inertia matrix, identified with an artificial neural network, is presented. The structure of the neural network resemble a Lagrange-Euler mathematical model of the robot, and identifies the positive definite inertia matrix. A design of the neural model is based on the Cholesky decomposition of the identified inertia matrix.