Synchronization control for bilateral teleoperation system with position error constraints: A fixed-time approach.

In this work, a novel exponential-type Barrier Lyapunov Function (EBLF) is proposed to address the synchronization control issue for a class of bilateral teleoperation systems with system uncertainties, external disturbances, and constraint requirement. The most prominent feature of the EBLF is that it can be used in a unified scheme, which deals with full state constrained and output constrained problems. Moreover, a novel control strategy is incorporated with the EBLF to achieve fixed-time convergence into a small set while the synchronization position tracking errors are guaranteed to never exceed the predefined constraints through the "adding a power integrator" technique, and the estimated settling time is shown to be independent of initial values. Simulation results demonstrate the effectiveness of the proposed control scheme.

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