Stability Robustness of a Feedback Interconnection of Systems With Negative Imaginary Frequency Response

A necessary and sufficient condition, expressed simply as the dc loop gain (i.e., the loop gain at zero frequency) being less than unity, is given in this note to guarantee the internal stability of a feedback interconnection of linear time-invariant (LTI) multiple-input multiple-output systems with...

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Bibliographic Details
Published in:	IEEE transactions on automatic control Vol. 53; no. 4; pp. 1042 - 1046
Main Authors:	Lanzon, A., Petersen, I.R.
Format:	Journal Article
Language:	English
Published:	New York, NY IEEE 01.05.2008 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Actuators Applied sciences Bounded-real systems Computer science; control theory; systems Control systems Control theory Control theory. Systems Exact sciences and technology Feedback Feedback loop Force sensors Frequency response Gain Image sensors Interconnection MIMO Negative feedback passivity positive position feedback positive-real systems Robust stability Sensors small-gain theorem Stability Studies Sufficient conditions System theory Theorems Transfer functions MIMO system Necessary and sufficient condition small-gain theorem Feedback regulation Bounded-real systems State space method Passive system Positive position feedback filter Positive system Passivity positive position feedback Linear time invariant system Transducer position Small gain theorem Position sensor Position measurement positive-real systems Robustness Frequency response Transfer function Force control
ISSN:	0018-9286, 1558-2523
Online Access:	Get full text
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