A revisited Popov criterion for nonlinear Lur'e systems with sector-restrictions
SCIE
SCOPUS
- Title
- A revisited Popov criterion for nonlinear Lur'e systems with sector-restrictions
- Authors
- Park, P
- Date Issued
- 1997-10
- Publisher
- TAYLOR & FRANCIS LTD
- Abstract
- This paper revisits a well-known Popov criterion for absolute stability analysis of multiple sector-restricted nonlinear time-invariant (NTI) Lur'e systems. Extending the Brockett and Willems (1965) frequency-domain Popov criterion for a SISO system into a MIMO system with multiple sector-restrictions [0, <(Delta)over bar>], where <(Delta)over bar> is positive and diagonal, provides a claim that a system is absolutely stable if a function G(s) = <(Delta)over bar>(-1) + (I + Ms)G(s) is strictly positive real, where G(s) is the transfer function from uncertain outputs to uncertain inputs and M is now diagonal and real. However, a Lyapunov Lur'e function has been found only for a non-negative diagonal M but not for a real diagonal M, which makes researchers confine M as non-negative diagonal. However, in this paper, we show that this Lyapunov function is still valid for a real diagonal matrix M.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/21193
- DOI
- 10.1080/002071797223479
- ISSN
- 0020-7179
- Article Type
- Article
- Citation
- INTERNATIONAL JOURNAL OF CONTROL, vol. 68, no. 3, page. 461 - 469, 1997-10
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