Abstract
The controller synthesis problem of uncertain negative-imaginary systems has important engineering applications in, for example, lightly damped flexible structures with colocated position sensors and force actuators. This paper provides a systematic controller synthesis procedure via an LMI approach to construct a state-feedback internally stabilizing controller such that the nominal closed-loop system satisfies negative-imaginary properties and a DC gain condition. As a result of this, the closed-loop system can then be guaranteed to be robustly stable against uncertainties that are stable strictly negative-imaginary (e.g. unmodeled spill-over dynamics in a lightly damped flexible structure). An numerical example is given to show the usefulness of the proposed results.
Original language | English |
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Title of host publication | 2009 European Control Conference, ECC 2009 |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 1605-1609 |
Number of pages | 5 |
ISBN (Electronic) | 9783952417393 |
DOIs | |
Publication status | Published - 26 Mar 2014 |
Externally published | Yes |
Event | 10th European Control Conference: ECC 2009 - Budapest, Hungary Duration: 23 Aug 2009 → 26 Aug 2009 Conference number: 10th http://ieeexplore.ieee.org/document/7074402/ http://ieeexplore.ieee.org/document/7074461/ |
Publication series
Name | 2009 European Control Conference, ECC 2009 |
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Conference
Conference | 10th European Control Conference: ECC 2009 |
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Abbreviated title | ECC |
Country/Territory | Hungary |
City | Budapest |
Period | 23/08/09 → 26/08/09 |
Internet address |