Robust stability of quasi-polynomials : Frequency-sweeping conditions and vertex tests
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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Pages (from-to) | 1219-1234 |
Journal / Publication | IEEE Transactions on Automatic Control |
Volume | 53 |
Issue number | 5 |
Publication status | Published - 2008 |
Externally published | Yes |
Link(s)
Abstract
In this paper, we study the robust stability of uncertain time-delay systems. We consider uncertain quasi-polynomials whose coefficients may vary in a certain prescribed range. Our goal is to derive necessary and sufficient conditions for such uncertain quasi-polynomials to maintain stability independent of delay parameters. Our primary contributions are frequency-sweeping conditions for interval, diamond, and spherical quasi-polynomial families, which can be readily checked, requiring only the computation of two simple frequency-dependent functions. Additionally, we also obtain vertex- and edge-type results in the spirit of the Kharitonov approach known in robust stability analysis, showing that the stability of interval and diamond quasi-polynomials can be ascertained by checking the stability of certain special vertex and/or edge members in those families. Both type of results provide necessary and sufficient conditions for the quasi-polynomial families to be robustly stable independent of delay. © 2008 IEEE.
Research Area(s)
- Frequency-sweeping tests, Robust stability, Timedelay systems, Uncertain quasi-polynomials, Vertex tests
Citation Format(s)
Robust stability of quasi-polynomials : Frequency-sweeping conditions and vertex tests. / Chen, Jie; Niculescu, Silviu-Iulian; Fu, Peilin.
In: IEEE Transactions on Automatic Control, Vol. 53, No. 5, 2008, p. 1219-1234.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review