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Absolute Stability of Systems With Integrator and/or Time Delay via Off-Axis Circle Criterion

Research output: Contribution to journal › Article › peer-review

Standard Standard

Absolute Stability of Systems With Integrator and/or Time Delay via Off-Axis Circle Criterion. / Zhang, Jingfan; Tugal, Harun; Carrasco, Joaquin et al.
In: IEEE Control Systems Letters, Vol. 2, No. 3, 01.07.2018, p. 411-416.

Research output: Contribution to journal › Article › peer-review

HarvardHarvard

Zhang, J, Tugal, H, Carrasco, J & Heath, WP 2018, 'Absolute Stability of Systems With Integrator and/or Time Delay via Off-Axis Circle Criterion', IEEE Control Systems Letters, vol. 2, no. 3, pp. 411-416. https://doi.org/10.1109/lcsys.2018.2840042

APA

Zhang, J., Tugal, H., Carrasco, J., & Heath, W. P. (2018). Absolute Stability of Systems With Integrator and/or Time Delay via Off-Axis Circle Criterion. IEEE Control Systems Letters, 2(3), 411-416. https://doi.org/10.1109/lcsys.2018.2840042

CBE

Zhang J, Tugal H, Carrasco J, Heath WP. 2018. Absolute Stability of Systems With Integrator and/or Time Delay via Off-Axis Circle Criterion. IEEE Control Systems Letters. 2(3):411-416. https://doi.org/10.1109/lcsys.2018.2840042

MLA

Zhang, Jingfan et al. "Absolute Stability of Systems With Integrator and/or Time Delay via Off-Axis Circle Criterion". IEEE Control Systems Letters. 2018, 2(3). 411-416. https://doi.org/10.1109/lcsys.2018.2840042

VancouverVancouver

Zhang J, Tugal H, Carrasco J, Heath WP. Absolute Stability of Systems With Integrator and/or Time Delay via Off-Axis Circle Criterion. IEEE Control Systems Letters. 2018 Jul 1;2(3):411-416. Epub 2018 May 23. doi: 10.1109/lcsys.2018.2840042

Author

Zhang, Jingfan ; Tugal, Harun ; Carrasco, Joaquin et al. / Absolute Stability of Systems With Integrator and/or Time Delay via Off-Axis Circle Criterion. In: IEEE Control Systems Letters. 2018 ; Vol. 2, No. 3. pp. 411-416.

RIS

TY - JOUR

T1 - Absolute Stability of Systems With Integrator and/or Time Delay via Off-Axis Circle Criterion

AU - Zhang, Jingfan

AU - Tugal, Harun

AU - Carrasco, Joaquin

AU - Heath, William P.

PY - 2018/7/1

Y1 - 2018/7/1

N2 - Graphical methods are a key tool to analyze Lur’e systems with time delay. In this letter we revisit clockwise properties of the Nyquist plot and extend results in the literature to critically stable systems and time-delayed systems. It is known that rational transfer functions with no resonant poles and no zeros satisfy the Kalman conjecture. We show that the same class of transfer functions in series with a time delay also satisfies the Kalman conjecture. Furthermore the same class of transfer functions in series with an integrator and delay (which may be zero) satisfies a suitably relaxed form of the Kalman conjecture. Useful results are also obtained where the delay is constant but unknown. Results in this letter can be used as benchmarks to test sufficient stability conditions for the Lur’e problem with time-delay systems

AB - Graphical methods are a key tool to analyze Lur’e systems with time delay. In this letter we revisit clockwise properties of the Nyquist plot and extend results in the literature to critically stable systems and time-delayed systems. It is known that rational transfer functions with no resonant poles and no zeros satisfy the Kalman conjecture. We show that the same class of transfer functions in series with a time delay also satisfies the Kalman conjecture. Furthermore the same class of transfer functions in series with an integrator and delay (which may be zero) satisfies a suitably relaxed form of the Kalman conjecture. Useful results are also obtained where the delay is constant but unknown. Results in this letter can be used as benchmarks to test sufficient stability conditions for the Lur’e problem with time-delay systems

U2 - 10.1109/lcsys.2018.2840042

DO - 10.1109/lcsys.2018.2840042

M3 - Erthygl

VL - 2

SP - 411

EP - 416

JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

IS - 3

ER -