Observer Based Fast Fixed-Time Non-Singular Terminal Sliding Mode Control of Teleoperation Systems

This paper introduces a fast fixed-time non-singular terminal sliding mode control approach, utilizing a sliding mode observer, to tackle the tracking challenge in teleoperation systems. A robust fixed-time control law is formulated to achieve accurate tracking performance, effectively countering parametric uncertainties, external disturbances, and time-varying delays. Furthermore, the proposed fast fixed-time non-singular terminal sliding surface ensures convergence within a fixed time frame once the sliding condition is satisfied. To improve practical implementation, a sliding mode observer is integrated, removing the necessity for a velocity sensor. The system's stability is demonstrated through Lyapunov theory.