Loss of structurally stable regulation implies loss of stability

Loss of structurally stable regulation implies loss of stability

We refer to systems violating the conditions for structurally stable regulation as critical. At least one of the following must fail at a critical system: asymptotic rejection of the exogenous system, stabilization of the closed-loop system, or structural stability. This has not been explicitly addr...

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Veröffentlicht in:IEEE transactions on automatic control 2003-03, Vol.48 (3), p.483-486
Hauptverfasser: Maithripala, D.H.S., Berg, J.M., Dayawansa, W.P.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Asymptotic properties
Computer science
control theory
systems
Control
Control system analysis
Control systems
Control theory. Systems
Exact sciences and technology
History
Linear systems
Open loop systems
Output feedback
Poles
Regulators
Rejection
Robust stability
Robustness
Stability
Stabilization
Structural engineering
Structural stability
Uncertainty
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Beschreibung
Zusammenfassung:We refer to systems violating the conditions for structurally stable regulation as critical. At least one of the following must fail at a critical system: asymptotic rejection of the exogenous system, stabilization of the closed-loop system, or structural stability. This has not been explicitly addressed. We show that any structurally stable regulator is necessarily destabilizing when applied to a critical system, that destabilization is linked to structural stability, and we characterize the resulting unstable poles.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2003.809162