This paper considers the problems of controlledsynchronization and regulation of oscillatory systems. For a specific class of nonlinear systems, namely for minimum phase systems with relative degree one, we propose a systematic design procedure for finding nonlinear couplings between the systems – both unidirectional and bidirectional – that guaranteeasymptotic synchronization of the systems’ states for arbitrary initial conditions. The corresponding coupling has the form of an integral and it can be considered as a generalized distance between the outputs of the coupled systems. It combines boththe low- and the high-gain coupling design in one nonlinear function. The results are illustrated with simulations of coupled Hindmarsh-Rose neuron oscillators.
|Title of host publication||Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009.|
|Place of Publication||Piscataway, NJ|
|Publisher||Institute of Electrical and Electronics Engineers|
|Publication status||Published - 2009|