Sufficient conditions for stability of feedback interconnections of negative imaginary systems are derived via an integral quadratic constraint (IQC) approach. These extend existing results in the literature by exploiting the flexibility present at the static and infinite frequencies to reduce conservatism. Negative imaginary transfer functions with poles on the imaginary axis are accommodated using a recently generalised IQC-based robustness result. In particular, the negative imaginary property of systems is shown to give rise to IQCs on positive frequencies that are bounded away from zero and infinity. Additional quadratic conditions are introduced to take care of the IQCs near the DC and instantaneous gains of the systems.
|Original language||English (US)|
|Title of host publication||2015 European Control Conference, ECC 2015|
|Publisher||Institute of Electrical and Electronics Engineers Inc.|
|Number of pages||5|
|State||Published - Nov 16 2015|
|Event||European Control Conference, ECC 2015 - Linz, Austria|
Duration: Jul 15 2015 → Jul 17 2015
|Name||2015 European Control Conference, ECC 2015|
|Other||European Control Conference, ECC 2015|
|Period||7/15/15 → 7/17/15|
Bibliographical noteFunding Information:
This work was supported by the Swedish Research Council through the LCCC Linnaeus centre and the Australian Research Council
© 2015 EUCA.
Copyright 2016 Elsevier B.V., All rights reserved.
- Negative imaginary systems
- feedback stability
- integral quadratic constraints