Establish feasibility of the augmentation-based control architecture

Establish the feasibility of the augmentation-based control architecture for general linear time-invariant systems with integral action that simultaneously addresses input and output constraints and is intended to provide stability and constraint satisfaction.

Background

The introduction discusses an approach that considers general linear time-invariant systems, includes integral action, handles both input and output constraints, and proposes a specific augmentation-based control architecture for stability and constraint satisfaction.

The feasibility of that architecture is explicitly identified as unresolved. This problem concerns the cited augmentation-based architecture, not the I-O CBF Governor whose feasibility conditions are established in the present paper.

References

The authors of consider a general LTI system, include integral action, consider both input and output constraints, and propose a specific augmentation-based control architecture for stability and constraint satisfaction. The feasibility of the latter, however, is not established.

— Feasibility of Simultaneous Input-Output Constraints for Tracking in a Class of LTI Systems: Part I  (2610.02151 - Yoon et al., 1 Oct 2026) in Section 1, Introduction