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ON THE ROBUSTNESS OF PERIODIC SOLUTIONS IN RELAY FEEDBACK SYSTEMS
Mario di Bernardo* Karl Henrik Johansson**
Ulf Jönsson*** Francesco Vasca*
* Facoltá di Ingegneria
Università del Sannio, Benevento, Italy
{dibernardo/vasca}@unisannio.it
** Department of Signals, Sensors and Systems
Royal Institute of Technology, Stockholm, Sweden
kallej@s3.kth.se
*** Department of Mathematics
Royal Institute of Technology, Stockholm, Sweden
ulfj@math.kth.se
Structural robustness of limit cycles in relay feedback systems is studied. Motivated by a recent discovery of a novel class of bifurcations in these systems, it is illustrated through numerical simulation that small relay perturbations may change the appearance of closed orbits dramatically. It is shown analytically that certain stable periodic solutions in relay feedback systems are robust to relay perturbations.
Keywords: Limit cycles; Sliding Orbits; Perturbation analysis
Session slot T-Th-M08: Oscillations in Nonsmooth Feedback Systems/Area code 2c : Non-linear Systems
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