The robustness properties of the linear quadratic regulators for singular systems

The robustness properties of the linear quadratic regulators for singular systems

The LQR (linear quadratic regulator) robustness properties of singular systems are investigated. It is shown that the optimal regulators for singular systems with an appropriate selection of the feedback gain have the same robustness properties as those in regular systems, namely, at least 60 degree...

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Veröffentlicht in:IEEE transactions on automatic control 1993-01, Vol.38 (1), p.96-100
Hauptverfasser: Wang, Y.-Y., Frank, P.M., Clements, D.J.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Computer science
control theory
systems
Control theory. Systems
Cost function
Electric variables measurement
Equations
Exact sciences and technology
Feedback control
Optimal control
Performance analysis
Performance gain
Regulators
Robustness
Stability
Transfer functions
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Zusammenfassung:The LQR (linear quadratic regulator) robustness properties of singular systems are investigated. It is shown that the optimal regulators for singular systems with an appropriate selection of the feedback gain have the same robustness properties as those in regular systems, namely, at least 60 degrees guaranteed phase margin, infinite gain margin, and 50% gain reduction margin.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.186315