## Global continuous finite-time tracking of robot manipulators.(English)Zbl 1185.93091

Summary: This paper addresses the global finite-time tracking of robot manipulators. The commonly used linear Proportional-Derivative (PD) plus (PD+) scheme is extended to achieve the global finite-time tracking by replacing the linear errors with nonsmooth but continuous exponential errors. The global finite-time stability of the closed loop with the proposed nonlinear PD plus control is shown using Lyapunov’s direct method and finite-time stability. Simulations performed on a two-degree-of-freedom manipulator are provided to illustrate the effectiveness and the improved performance of the formulated algorithm.

### MSC:

 93C85 Automated systems (robots, etc.) in control theory 68T40 Artificial intelligence for robotics 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, $$L^p, l^p$$, etc.) in control theory 93B35 Sensitivity (robustness)
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