核心概念
Necessary and sufficient conditions are provided to determine proportional output feedbacks that make a linear port-Hamiltonian descriptor system regular, of index at most one, and asymptotically stable.
摘要
The paper discusses the stabilization of linear port-Hamiltonian descriptor (pHDAE) systems via proportional output feedback.
Key highlights:
- For general descriptor systems, characterizing output feedbacks that lead to an asymptotically stable closed-loop system is a difficult and partially open problem.
- However, for pHDAE systems, this problem can be completely solved.
- Necessary and sufficient conditions are presented to determine proportional output feedbacks that make the closed-loop pHDAE system regular, of index at most one, and asymptotically stable.
- The results rely on the computation of structured condensed forms that preserve the port-Hamiltonian structure.
- The paper also discusses the extension to derivative output feedback for regularization, index reduction, and stabilization.
- The stabilization results provide a complete characterization of the solvability of the problem and enable robust and physically interpretable control design for pHDAE systems.
統計資料
rank(J16 J26) = n1 + n2
rank(B21) = n2
rank(B32) = n3
rank(J55 - R55) = n5
rank(E11 E12 E13 E14 0 B12 EH12 E22 E23 E24 B21 B22 EH13 EH23 E33 E34 0 B32 EH14 EH24 EH34 E44 0 0) = n1 + n2 + n3 + n4
E44 > 0