LMI searches for anticausal and noncausal rational Zames-Falb multipliers

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LMI searches for anticausal and noncausal rational Zames-Falb multipliers. / Carrasco, J.; Maya-Gonzalez, M.; Lanzon, A. et al.
In: Systems and Control Letters, Vol. 70, 01.08.2014, p. 17-22.

Research output: Contribution to journalArticlepeer-review

HarvardHarvard

Carrasco, J, Maya-Gonzalez, M, Lanzon, A & Heath, WP 2014, 'LMI searches for anticausal and noncausal rational Zames-Falb multipliers', Systems and Control Letters, vol. 70, pp. 17-22. https://doi.org/10.1016/j.sysconle.2014.05.005

APA

Carrasco, J., Maya-Gonzalez, M., Lanzon, A., & Heath, W. P. (2014). LMI searches for anticausal and noncausal rational Zames-Falb multipliers. Systems and Control Letters, 70, 17-22. https://doi.org/10.1016/j.sysconle.2014.05.005

CBE

Carrasco J, Maya-Gonzalez M, Lanzon A, Heath WP. 2014. LMI searches for anticausal and noncausal rational Zames-Falb multipliers. Systems and Control Letters. 70:17-22. https://doi.org/10.1016/j.sysconle.2014.05.005

MLA

VancouverVancouver

Carrasco J, Maya-Gonzalez M, Lanzon A, Heath WP. LMI searches for anticausal and noncausal rational Zames-Falb multipliers. Systems and Control Letters. 2014 Aug 1;70:17-22. Epub 2014 Jun 7. doi: 10.1016/j.sysconle.2014.05.005

Author

Carrasco, J. ; Maya-Gonzalez, M. ; Lanzon, A. et al. / LMI searches for anticausal and noncausal rational Zames-Falb multipliers. In: Systems and Control Letters. 2014 ; Vol. 70. pp. 17-22.

RIS

TY - JOUR

T1 - LMI searches for anticausal and noncausal rational Zames-Falb multipliers

AU - Carrasco, J.

AU - Maya-Gonzalez, M.

AU - Lanzon, A.

AU - Heath, W.P.

PY - 2014/8/1

Y1 - 2014/8/1

N2 - Given a linear time-invariant plant, the search for a suitable multiplier over the class of Zames–Falb multipliers is a challenging problem which has been studied for several decades. Recently, a new linear matrix inequality search has been proposed over rational and causal Zames–Falb multipliers. This letter analyzes the conservatism of the restriction to causality on the multipliers and presents a complementary search for rational and anticausal multipliers. The addition of a Popov multiplier to the anticausal Zames–Falb multiplier is implemented by analogy with the causal search. As a result, a search over a noncausal subset of Zames–Falb multipliers is obtained. A comparison between all the search methods proposed in the literature is given.

AB - Given a linear time-invariant plant, the search for a suitable multiplier over the class of Zames–Falb multipliers is a challenging problem which has been studied for several decades. Recently, a new linear matrix inequality search has been proposed over rational and causal Zames–Falb multipliers. This letter analyzes the conservatism of the restriction to causality on the multipliers and presents a complementary search for rational and anticausal multipliers. The addition of a Popov multiplier to the anticausal Zames–Falb multiplier is implemented by analogy with the causal search. As a result, a search over a noncausal subset of Zames–Falb multipliers is obtained. A comparison between all the search methods proposed in the literature is given.

U2 - 10.1016/j.sysconle.2014.05.005

DO - 10.1016/j.sysconle.2014.05.005

M3 - Erthygl

VL - 70

SP - 17

EP - 22

JO - Systems and Control Letters

JF - Systems and Control Letters

ER -