Abstract:
Dynamic systems remain prone to disturbances that cause system parameters to
fluctuate around a desired value. The overall system response is degraded due to the
small fluctuations in many system parameters at a time. For sensitive applications
ultimate accuracy is required and fluctuations must be diagnosed and isolated
accurately in time so that respective correction measures are taken to overcome the
disturbance. Moreover practically, in large systems sometimes it becomes difficult or
even impossible to diagnose and isolate the hidden run time fault that deteriorates the
response of the system. Therefore an accurate fault diagnosis and isolation technique is
needed to meet the accuracy and troubleshooting requirements for the dynamic system.
The goal of current work is to carry out the Fault Diagnostics and Isolation (FDI) for a
dynamic system using the Interacting Multiple Models of Kalman filters (IMMKF).
The model based FDI is carried out on the basis that the system model takes different
shapes for different faults. Each model represents the presence of respective fault type.
The IMMKF performs Model based FDI by running multiple Kalman state observers
on multiple models of the system to compute measurement residual and its covariance.
The mode probability weights are calculated for each model. The model with highest
mode probability weight is declared as the current model in effect and respective
system condition is diagnosed. Fault isolation is done by examining the difference
between the mode probabilities. Larger the difference between mode probabilities of
two models more is the isolation between them.
The IMMKFs FDI tool is applied on the Lab Twin Rotor System (TRS). The nonlinear
TRS model is first linearized and validated to meet the requirement of Kalman state
observer that need linear model. The state estimation and its validation is then carried
using Kalman observer. Three models for TRS in different system conditions (normal
and faulty) are identified using Subspace System Identification (SSI). The FDI is done
in normal and faulty conditions using Interacting Multiple models Kalman filters
(IMMKF) that produce accurate results that show that the IMMKFs can be used as a
highly precise state estimation and FDI tool for dynamic systems in uncertain
environments.