To assure a certain behavior of a monitored process, possible fault situations should be anticipated as early as possible. Hereby, the diagnosis of process faults in advance can help to avoid abnormal, unwanted event progression. Of course this is a topic of enormous economic importance, since e.g. in petrochemical industry roughly 20 billion U.S. dollars are lost every year by taking unappropriate control decisions in fault situations. Recent advances in certifying regions as not feasible for a general class of polynomial-boundable nonlinear hybrid systems shall be used for fault detection ([1,2]). This extension would allow to accompany for uncertainties in parameters, states as well as switching dynamics in safety considerations.
[1] S.Borchers, P. Rumschinski, S. Bosio, R. Weismantel and R.Findeisen. A Set-based Framework for Coherent Model Invalidation and Parameter Estimation of Discrete Time Nonlinear Systems.48th IEEE Conference on Decision and Control (CDC 2009) - Shanghai - China, submitted
[2] J. Hasenauer, P. Rumschinski, S. Waldherr, S. Borchers, F. Allgöwer and R. Findeisen. Guaranteed Steady-State Bounds for Uncertain Chemical Processes. International Symposium on Advanced Control of Chemical Processes (AdChem 2009) - Istanbul - Turkey, to appear