We study the occurrence of bifurcations leading to the formation of asymmetric orbits and chaos in unforced relay feedback systems with a symmetric relay characteristic. Specifically, we show that novel bifurcation mechanisms cause the formation of stable periodic solutions with segments of sliding motion. We then characterise the formation of asymmetric stable periodic solutions and detail the route to chaos exhibited by a representative third-order example.
On the existence of stable asymmetric solutions in unforced and symmetric relay feedback systems / P., K., DI BERNARDO, M.. - STAMPA. - (2001), pp. 1999-2004. (Proceedings European Control Conference (ECC'01) Porto, Portugal SETTEMBRE 2001).
On the existence of stable asymmetric solutions in unforced and symmetric relay feedback systems
DI BERNARDO, MARIO
2001
Abstract
We study the occurrence of bifurcations leading to the formation of asymmetric orbits and chaos in unforced relay feedback systems with a symmetric relay characteristic. Specifically, we show that novel bifurcation mechanisms cause the formation of stable periodic solutions with segments of sliding motion. We then characterise the formation of asymmetric stable periodic solutions and detail the route to chaos exhibited by a representative third-order example.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
