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Unified T-S fuzzy-relaxed control barrier function framework for unicycle Mobile robot safe trajectory tracking
Ali Rahmanian1, Mohammad Hassan Asemani1
1School of Electrical and Computer Engineering, Shiraz University, Shiraz, Iran.
None:
Safe operation of autonomous mobile robots is critical in environments with uncertainty and obstacles. This paper proposes a unified control framework for trajectory tracking and obstacle avoidance of unicycle mobile robots, combining a Takagi-Sugeno (T-S) fuzzy controller with a relaxed control barrier function (rCBF)-based safety filter. The nonlinear tracking error dynamics are exactly represented using a T-S fuzzy model and stabilized via a parallel distributed compensation (PDC) controller synthesized using linear matrix inequalities (LMIs). An extended rCBF formulation is developed to generate a smooth analytical safety assist input acting on the angular velocity of the robot, ensuring collision avoidance without requiring online optimization. Simulation results demonstrate accurate trajectory tracking and effective obstacle avoidance with low computational complexity.
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