International Journal of applied mathematics and computer science

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Paper details

Number 2 - June 1995
Volume 5 - 1995

Lyapunov control in robotic systems: Tracking regular and chaotic dynamics

Henk Nijmeijer, Harry Berghuis

Abstract
Lyapunov-type controllers for trajectory tracking of rigid robot manipulators are described. The so-called passivity-based controllers exploit the desired physical energy of the robot system. A discussion about tracking control in the absence of complete state information and model knowledge then leads to practical stability. It is shown that these Lyapunov-type controllers can also be used in other mechanical systems as e.g. the controlled Duffing equation. In that case the controller can be used as a tool for creation or annihilation of chaotic dynamics.

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