• Extends robust control invariant (RCI) tubes to motion planning, enabling preemptive handling of closed-loop uncertainties.
• Translates state and control constraints into RCI tube constraints, ensuring safety and optimality beyond nominal open-loop models.
• Introduces a parameterized explicit iterative expression for ellipsoidal uncertainty propagation, accelerating the solving process.
• Validates the framework under kinematic and dynamic vehicle models with various uncertainties, demonstrating fast, closed-loop safety and robustness.
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