Argument Principle and Integral Relations : Hidden Links and Generalized Forms

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Journal / PublicationIEEE Transactions on Automatic Control
Publication statusOnline published - 16 Mar 2022


This paper studies Bode/Poisson type sensitivity and complementary sensitivity integral relations for linear, time-invariant feedback control systems. We call for attention to a seemingly unnoticed link between the well-known argument principle and Bode/Poisson integral relations. In this respect, a generalized version of the argument principle is developed, under which it is shown that various Bode/Poisson type integral relations can be unified, and new integral relations can be derived. The new and classical integral relations together provide useful insights for analyzing control design limitations and tradeoffs.

Research Area(s)

  • argument principle, Bode/Poisson integral relations, Feedback control, Linear systems, Performance limitation, Poles and zeros, Sensitivity, Stability criteria, Standards, Urban areas