Stability Analysis with Popov Multipliers and Integral Quadratic Constraints
(1997) In Systems and Control Letters 31(2). p.85-92- Abstract
- It is shown that a general form of Popov multipliers can be used in stability analysis based on integral quadratic constraints (IQC). The Popov multiplier is nonproper and a condition that the nominal plant is strictly proper will be imposed in order to ensure boundedness of the IQC corresponding to the Popov multiplier. A consequence of our main result is that the classical Popov criterion can be combined with a stability criterion for slope restricted nonlinearities developed by Zames and Falb. An example shows that the combination of these two criteria is useful in applications.
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- author
- Jönsson, Ulf
- organization
- publishing date
- 1997
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Systems and Control Letters
- volume
- 31
- issue
- 2
- pages
- 85 - 92
- publisher
- Elsevier
- external identifiers
-
- scopus:0031186459
- ISSN
- 0167-6911
- DOI
- 10.1016/S0167-6911(97)00018-2
- language
- English
- LU publication?
- no
- id
- 6197a44c-51d5-4fcc-a430-ce8949bfbe5a (old id 8311502)
- date added to LUP
- 2016-04-04 14:28:18
- date last changed
- 2022-02-06 19:24:12
@article{6197a44c-51d5-4fcc-a430-ce8949bfbe5a, abstract = {{It is shown that a general form of Popov multipliers can be used in stability analysis based on integral quadratic constraints (IQC). The Popov multiplier is nonproper and a condition that the nominal plant is strictly proper will be imposed in order to ensure boundedness of the IQC corresponding to the Popov multiplier. A consequence of our main result is that the classical Popov criterion can be combined with a stability criterion for slope restricted nonlinearities developed by Zames and Falb. An example shows that the combination of these two criteria is useful in applications.}}, author = {{Jönsson, Ulf}}, issn = {{0167-6911}}, language = {{eng}}, number = {{2}}, pages = {{85--92}}, publisher = {{Elsevier}}, series = {{Systems and Control Letters}}, title = {{Stability Analysis with Popov Multipliers and Integral Quadratic Constraints}}, url = {{http://dx.doi.org/10.1016/S0167-6911(97)00018-2}}, doi = {{10.1016/S0167-6911(97)00018-2}}, volume = {{31}}, year = {{1997}}, }