We discuss a novel approach to control bifurcations in nonlinear systems. The aim of bifurcation tailoring is to design an appropriate control law such that the controlled system has a desired bifurcation diagram. After describing two open-loop bifurcation tailoring techniques, this paper proposes two alternative modified bifurcation tailoring methods based on the use of the Newton-flow algorithm and the so-called Minimal Control Synthesis adaptive control strategy. The novel technique is applied to the Duffing system as an illustration example.
Bifurcation tailoring of nonlinear systems / X. F., W., DI BERNARDO, M., M. H., L., D. P., S., G. A., C.. - STAMPA. - 15:(2002), pp. 220-224. (Proceedings IFAC World Congress Barcelona, Spain LUGLIO 2002) [10.3182/20020721-6-ES-1901.00222].
Bifurcation tailoring of nonlinear systems
DI BERNARDO, MARIO;
2002
Abstract
We discuss a novel approach to control bifurcations in nonlinear systems. The aim of bifurcation tailoring is to design an appropriate control law such that the controlled system has a desired bifurcation diagram. After describing two open-loop bifurcation tailoring techniques, this paper proposes two alternative modified bifurcation tailoring methods based on the use of the Newton-flow algorithm and the so-called Minimal Control Synthesis adaptive control strategy. The novel technique is applied to the Duffing system as an illustration example.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
