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LMI searches for discrete-time Zames-Falb multipliers

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LMI searches for discrete-time Zames-Falb multipliers. / Ahmad, N.S.; Carrasco, J.; Heath, W.P.
2014. 5258-5263 Paper presented at 52nd IEEE Conference on Decision and Control, Firenze, Italy.

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

HarvardHarvard

Ahmad, NS, Carrasco, J & Heath, WP 2014, 'LMI searches for discrete-time Zames-Falb multipliers', Paper presented at 52nd IEEE Conference on Decision and Control, Firenze, Italy, 10/12/13 - 13/12/13 pp. 5258-5263. https://doi.org/10.1109/CDC.2013.6760716

APA

Ahmad, N. S., Carrasco, J., & Heath, W. P. (2014). LMI searches for discrete-time Zames-Falb multipliers. 5258-5263. Paper presented at 52nd IEEE Conference on Decision and Control, Firenze, Italy. https://doi.org/10.1109/CDC.2013.6760716

CBE

Ahmad NS, Carrasco J, Heath WP. 2014. LMI searches for discrete-time Zames-Falb multipliers. Paper presented at 52nd IEEE Conference on Decision and Control, Firenze, Italy. https://doi.org/10.1109/CDC.2013.6760716

MLA

Ahmad, N.S., J. Carrasco, and W.P. Heath LMI searches for discrete-time Zames-Falb multipliers. 52nd IEEE Conference on Decision and Control, 10 Dec 2013, Firenze, Italy, Paper, 2014. 6 p. https://doi.org/10.1109/CDC.2013.6760716

VancouverVancouver

Ahmad NS, Carrasco J, Heath WP. LMI searches for discrete-time Zames-Falb multipliers. 2014. Paper presented at 52nd IEEE Conference on Decision and Control, Firenze, Italy. doi: 10.1109/CDC.2013.6760716

Author

Ahmad, N.S. ; Carrasco, J. ; Heath, W.P. / LMI searches for discrete-time Zames-Falb multipliers. Paper presented at 52nd IEEE Conference on Decision and Control, Firenze, Italy.6 p.

RIS

TY - CONF

T1 - LMI searches for discrete-time Zames-Falb multipliers

AU - Ahmad, N.S.

AU - Carrasco, J.

AU - Heath, W.P.

PY - 2014/3/10

Y1 - 2014/3/10

N2 - Recent works have proposed different searches for Zames-Falb multipliers in the continuous-time domain. Although Zames-Falb multipliers are also defined for the discrete-time domain, there is no equivalent literature for their search. In this paper, we propose the discrete-time counterparts of two recently reported algorithms for the search of a Zames-Falb multiplier. The two searches find causal and anticausal multipliers respectively. Several examples show the effectiveness of the method. The examples illustrate the necessity of conducting both causal and anticausal searches to ensure competitiveness over other methods for establishing the stability of loops with slope-restricted nonlinearities.

AB - Recent works have proposed different searches for Zames-Falb multipliers in the continuous-time domain. Although Zames-Falb multipliers are also defined for the discrete-time domain, there is no equivalent literature for their search. In this paper, we propose the discrete-time counterparts of two recently reported algorithms for the search of a Zames-Falb multiplier. The two searches find causal and anticausal multipliers respectively. Several examples show the effectiveness of the method. The examples illustrate the necessity of conducting both causal and anticausal searches to ensure competitiveness over other methods for establishing the stability of loops with slope-restricted nonlinearities.

U2 - 10.1109/CDC.2013.6760716

DO - 10.1109/CDC.2013.6760716

M3 - Papur

SP - 5258

EP - 5263

T2 - 52nd IEEE Conference on Decision and Control

Y2 - 10 December 2013 through 13 December 2013

ER -