Multipliers for nonlinearities with monotone bounds

Autor:	Heath, William P., Carrasco, Joaquin, Altshuller, Dmitry A.
Rok vydání:	2020
Předmět:	Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
Popis:	We consider Lurye (sometimes written Lur'e) systems whose nonlinear operator is characterised by a possibly multivalued nonlinearity that is bounded above and below by monotone functions. Stability can be established using a sub-class of the Zames-Falb multipliers. The result generalises similar approaches in the literature. Appropriate multipliers can be found using convex searches. Because the multipliers can be used for multivalued nonlinearities they can be applied after loop transformation. We illustrate the power of the new mutlipliers with two examples, one in continuous time and one in discrete time: in the first the approach is shown to outperform available stability tests in the literature; in the second we focus on the special case for asymmetric saturation with important consequences for systems with non-zero steady state exogenous signals. Comment: 9 pages, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2009.09366 Zobrazit plný text záznamu View this record from Arxiv