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A negative-imaginary lemma without minimality assumptions and robust state-feedback synthesis for uncertain negative-imaginary systems
- Source :
-
Systems & Control Letters . Dec2012, Vol. 61 Issue 12, p1269-1276. 8p. - Publication Year :
- 2012
-
Abstract
- Abstract: Negative-imaginary systems have important engineering applications, for example, in lightly damped flexible structures with collocated position sensors and force actuators. This paper proposes a new Negative-Imaginary Lemma for generalized negative-imaginary systems, where the minimality assumption is relaxed. The proposed lemma facilitates both analysis and synthesis for negative-imaginary systems. Invoking this result, a systematic robust static state-feedback synthesis method is proposed in an LMI framework for systems with strictly negative-imaginary uncertainty (e.g. unmodeled spill-over dynamics in a lightly damped flexible structure) assuming all states are available for state feedback. Two numerical examples are given to show the usefulness of the proposed results. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 01676911
- Volume :
- 61
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Systems & Control Letters
- Publication Type :
- Academic Journal
- Accession number :
- 83570374
- Full Text :
- https://doi.org/10.1016/j.sysconle.2012.08.002