I am happy to share the algorithms I have developed and the experimental data I have collected in the course of my research. Should you have any question or wish to develop this further, feel free to contact me.
Control-based continuation (CBC)
Control-based continuation was pioneered a few years ago at the University of Bristol by Jian Sieber and Bernd Krauskopf. Dr David Barton has created a repository where existing CBC algorithms are available here.
CBC relies on a feedback control loop running in ‘real time’. This can be implemented on standard platforms such as Dspace – a Matlab interface allowing to link CBC algorithms and Dspace is available here. Personally, I most often use a custom open-source hardware created by Dr David Barton.
Drawings and related codes can be found here. To investigate the method in a numerical environment, the experiment can be modelled in Matlab Simulink. The following interface can then be used to link and test CBC algorithms.