System analysis via integral quadratic constraints
- 1 June 1997
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 42 (6) , 819-830
- https://doi.org/10.1109/9.587335
Abstract
This paper introduces a unified approach to robustness analysis with respect to nonlinearities, time variations, and uncertain parameters. From an original idea by Yakubovich (1967), the approach has been developed under a combination of influences from the Western and Russian traditions of control theory. It is shown how a complex system can be described, using integral quadratic constraints (IQC) for its elementary components. A stability theorem for systems described by IQCs is presented that covers classical passivity/dissipativity arguments but simplifies the use of multipliers and the treatment of causality. A systematic computational approach is described, and relations to other methods of stability analysis are discussed. Last, but not least, the paper contains a summarizing list of IQCs for important types of system components.Keywords
This publication has 33 references indexed in Scilit:
- Frequency-domain criteria of robust stability for slowly time-varying systemsIEEE Transactions on Automatic Control, 1995
- Analysis of feedback systems with structured uncertaintiesIEE Proceedings D Control Theory and Applications, 1982
- Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systemsIEEE Transactions on Automatic Control, 1981
- A multiloop generalization of the circle criterion for stability margin analysisIEEE Transactions on Automatic Control, 1981
- Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inversesIEEE Transactions on Automatic Control, 1981
- Guaranteed Asymptotic Stability for Some Linear Systems With Bounded UncertaintiesJournal of Dynamic Systems, Measurement, and Control, 1979
- Least squares stationary optimal control and the algebraic Riccati equationIEEE Transactions on Automatic Control, 1971
- The status of stability theory for deterministic systemsIEEE Transactions on Automatic Control, 1966
- Frequency domain stability criteria--Part IIEEE Transactions on Automatic Control, 1965
- On the absolute stability of nonlinear sample-data systemsIEEE Transactions on Automatic Control, 1964