Extension to non-BIBS-stable and non-square MIMO systems

Extend the low-complexity bidirectional-modification prescribed-performance control scheme for input-saturated high-order uncertain highly coupled MIMO nonlinear systems to non-BIBS-stable plants and non-square MIMO nonlinear systems.

Background

The paper develops a continuous, low-complexity prescribed-performance controller for high-order uncertain highly coupled MIMO nonlinear systems subject to input saturation. Its stability result relies on Assumption 1, which requires the saturated plant to be bounded-input bounded-state stable, and the formulation assumes square input and gain dimensions. The authors identify extending the approach beyond these structural and stability restrictions as future work.

References

Future work includes the extension to non-BIBS stable or non-square MIMO nonlinear systems, and removal of parameter selection condition (\ref{c2}).

— Low-Complexity Control Under Input Saturation and Performance Constraints: A Bidirectional Modification Scheme  (2609.00827 - Ni et al., 1 Sep 2026) in Section Conclusion