The precise trajectory tracking of hyper-redundant continuum manipulators is essential for applications requiring both high accuracy and adaptability, such as minimally invasive surgery and confined space exploration. However, existing Artificial Intelligence (AI)-based control strategies often struggle to maintain precision under dynamic conditions characterized by rapid motion transitions and complex trajectories, particularly in scenarios involving short durations and tight curves. This study addresses this challenge by evaluating the performance of two proposed controllers—Particle Swarm Optimization-based Fuzzy Logic Controller (PSO-FLC) and Sliding Mode Controller (SMC)—in tracking an infinity-shaped trajectory across three distinct durations: 8 s, 4 s, and 2 s. Performance metrics, including trajectory accuracy, end-effector position error, speed profiles, and statistical error analysis, are used to systematically evaluate the controllers. The results indicate that both controllers deliver reliable performance during slower trajectories (8 s); however, the proposed SMC demonstrates superior robustness at higher speeds. It achieves lower position errors, smoother speed profiles, and greater dynamic stability, whereas the PSO-FLC exhibits significant performance degradation under rapid motion constraints. The model was implemented in MATLAB (Matrix Laboratory) and Simulink (Simulation and Link Editor), validated for fidelity, and subsequently tested with the proposed controller under various time constraints. The findings of this study establish the proposed SMC as a robust and reliable solution for high-speed dynamic applications, while positioning the PSO-FLC as a viable option for scenarios with less demanding motion requirements. These insights contribute to the optimization of controller design and selection for hyper-redundant continuum manipulators operating in complex environments.
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