Admissibility-Preserving Control for Multi-Input Systems with Joint Capacity Constraints

The AJ-APIR framework controls multi-input systems with coupled capacity constraints by creating a geometry-aware control realization. It develops a gain matrix that selectively attenuates input components normal to the constraint boundary while preserving tangential control authority. This ensures the resulting inputs always satisfy both individual limits and the shared joint capacity constraint, guaranteeing safe tracking.

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