Fixed-Time Sliding Mode-Based Active Disturbance Rejection Tracking Control Method for Robot Manipulators

This work investigates the issue of a hybrid trajectory tracking control algorithm (HTCA) for robot manipulators (RMs) with uncertain dynamics and the effect of external disturbances. Following are some proposals for achieving the control target. Firstly, to achieve the active disturbance rejection, we propose a uniform second-order sliding mode disturbance observer (USOSMDO) to obtain directly the lumped uncertainties without their prior upper-bound information. Secondly, a fixed-time singularity-free terminal sliding surface (FxSTSS) is proposed to obtain a fixed-time convergence of the tracking control error (TCE) without the singularity in the control input. Then, using information on the proposed USOSMDO, our HTCA is formed based on the FxSTSS and the fixed-time power rate reaching law (FxPRRL). The control proposal not only stabilizes with the global fixed-time convergence but also attains high tracking accuracy. In addition, the chattering problem also is handled almost completely. Finally, numerical simulations verify the effectiveness and advantages of applying the proposed HTCA to a FARA robot.

Automated summary

This work proposes a hybrid trajectory tracking control algorithm (HTCA) for robot manipulators with uncertain dynamics and external disturbances. The control algorithm includes a uniform second-order sliding mode disturbance observer (USOSMDO) for active disturbance rejection and a fixed-time singularity-free terminal sliding surface (FxSTSS) for fixed-time convergence of the tracking control error. The HTCA is formed based on the FxSTSS and the fixed-time power rate reaching law (FxPRRL) using information from the USOSMDO. Numerical simulations show the effectiveness and advantages of the proposed HTCA applied to a FARA robot.