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 -