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Revisited Jury-Lee criterion for multivariable discrete-time Lur'e systems: Convex LMI search

Research output: Contribution to conference › Paper › peer-review

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Revisited Jury-Lee criterion for multivariable discrete-time Lur'e systems: Convex LMI search. / Ahmad, N.S.; Carrasco, J.; Heath, W.P.
2013. 2268-2273 Paper presented at 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), maui, United States.

Research output: Contribution to conference › Paper › peer-review

HarvardHarvard

Ahmad, NS, Carrasco, J & Heath, WP 2013, 'Revisited Jury-Lee criterion for multivariable discrete-time Lur'e systems: Convex LMI search', Paper presented at 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), maui, United States, 10/12/12 - 13/12/12 pp. 2268-2273. https://doi.org/10.1109/CDC.2012.6426863

APA

Ahmad, N. S., Carrasco, J., & Heath, W. P. (2013). Revisited Jury-Lee criterion for multivariable discrete-time Lur'e systems: Convex LMI search. 2268-2273. Paper presented at 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), maui, United States. https://doi.org/10.1109/CDC.2012.6426863

CBE

Ahmad NS, Carrasco J, Heath WP. 2013. Revisited Jury-Lee criterion for multivariable discrete-time Lur'e systems: Convex LMI search. Paper presented at 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), maui, United States. https://doi.org/10.1109/CDC.2012.6426863

MLA

Ahmad, N.S., J. Carrasco, and W.P. Heath Revisited Jury-Lee criterion for multivariable discrete-time Lur'e systems: Convex LMI search. 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 10 Dec 2012, maui, United States, Paper, 2013. 6 p. https://doi.org/10.1109/CDC.2012.6426863

VancouverVancouver

Ahmad NS, Carrasco J, Heath WP. Revisited Jury-Lee criterion for multivariable discrete-time Lur'e systems: Convex LMI search. 2013. Paper presented at 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), maui, United States. doi: 10.1109/CDC.2012.6426863

Author

Ahmad, N.S. ; Carrasco, J. ; Heath, W.P. / Revisited Jury-Lee criterion for multivariable discrete-time Lur'e systems: Convex LMI search. Paper presented at 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), maui, United States.6 p.

RIS

TY - CONF

T1 - Revisited Jury-Lee criterion for multivariable discrete-time Lur'e systems: Convex LMI search

AU - Ahmad, N.S.

AU - Carrasco, J.

AU - Heath, W.P.

PY - 2013/2/4

Y1 - 2013/2/4

N2 - The Tsypkin and Jury-Lee criteria are commonly used to analyse the absolute stability of discrete-time Lur'e systems with slope-restricted nonlinearities. In this paper, we construct a corresponding linear matrix inequality (LMI) condition for the Jury-Lee criterion most appropriate for monotonic, slope-restricted nonlinearities. The corresponding Lur'e-Lyapunov function is also constructed and, via the Lyapunov method, the conditions on the aforementioned criterion are relaxed. The result is explicitly compared with improved LMI-based criteria in the literature. The resulting multiplier from the criterion is also shown to satisfy the conditions of the Zames-Falb multipliers in discrete-time. This indirectly provides a convex search over a subset of the discrete-time Zames-Falb multipliers. Some numerical examples for SISO and MIMO cases are provided to compare the performance of the criteria with existing results, and we demonstrate that the result in this paper provides significant improvement

AB - The Tsypkin and Jury-Lee criteria are commonly used to analyse the absolute stability of discrete-time Lur'e systems with slope-restricted nonlinearities. In this paper, we construct a corresponding linear matrix inequality (LMI) condition for the Jury-Lee criterion most appropriate for monotonic, slope-restricted nonlinearities. The corresponding Lur'e-Lyapunov function is also constructed and, via the Lyapunov method, the conditions on the aforementioned criterion are relaxed. The result is explicitly compared with improved LMI-based criteria in the literature. The resulting multiplier from the criterion is also shown to satisfy the conditions of the Zames-Falb multipliers in discrete-time. This indirectly provides a convex search over a subset of the discrete-time Zames-Falb multipliers. Some numerical examples for SISO and MIMO cases are provided to compare the performance of the criteria with existing results, and we demonstrate that the result in this paper provides significant improvement

U2 - 10.1109/CDC.2012.6426863

DO - 10.1109/CDC.2012.6426863

M3 - Papur

SP - 2268

EP - 2273

T2 - 2012 IEEE 51st IEEE Conference on Decision and Control (CDC)

Y2 - 10 December 2012 through 13 December 2012

ER -