Showing papers by "Joaquin Carrasco published in 2014"
TL;DR: The conservatism of the restriction to causality on the multipliers is analyzed and the addition of a Popov multiplier to the anticausal Zames–Falb multiplier is implemented by analogy with the causal search.
34 citations
01 Dec 2014
TL;DR: The subclass is shown to be phase-equivalent to the class of discrete-time rational noncausal Zames-Falb multipliers, and can be expressed as an LMI (linear matrix inequality) whose number of parameters increases quadratically with model order andwhose number of linear constraints increases linearly with model orders.
Abstract: We propose a convex search for a subclass of discrete-time Zames-Falb multipliers. Specifically we search for noncausal multipliers with FIR (finite impulse response) structure of arbitrary order. The subclass is shown to be phase-equivalent to the class of discrete-time rational noncausal Zames-Falb multipliers. The search can be expressed as an LMI (linear matrix inequality) whose number of parameters increases quadratically with model order and whose number of linear constraints increases linearly with model order. The search may be used both for the case where the nonlinearity is slope-restricted and for the case where the nonlinearity is odd and slope-restricted. We report favourable results with respect to those in the literature.
27 citations
TL;DR: The results in this paper resolve apparent contradictions in the literature on classes of multipliers for bounded and monotone nonlinearities.
19 citations
01 Jan 2014
2 citations