A diagnosis scheme for dynamical systems: Approach by guaranteed parameter estimation

Through parameter estimation schemes, one could be able to detect, localize and identify the occurring fault via simple computation. Yet, certain faults may not be discovered even be mistaken in a normal condition with unknown noises by trend checking or state monitoring. A more informative way when a correct model is present to analyses the data via parameter estimation. In this paper, we propose by using interval analysis a diagnosis scheme, from which we can extract the guaranteed diagnostic results to inform the supervisor so that appropriate actions could be taken. Sending them the results in a guaranteed way to tell the diagnostician which kind of fault exist is firstly taken care in diagnosis context. Our original fault detection and localization procedure has been firstly proposed in an interval analysis context for the constant fault in parameters. Moreover, another new technique in parameter estimation is the distance check, which speed up the estimation procedure. Some drawbacks have been discussed in the end.