Evaluating some Gain Scheduling Strategies in Diagnosis of a Tank System
In model-based diagnosis the problem of finding all the relations that can be
used to detect and isolate different faults, is solved for linear systems.
However, for nonlinear systems the situation is more complicated. Here an
approach will be taken using a linear method together with gain
scheduling. Linear residual generators are designed at a number of stationary
points. The approach is based on using a nominal selector matrix, using
null-space redesign dependent on the scheduling variable, and using a proposed
optimization method. Two different gain scheduling strategies are applied to
form the residual generators between design points, namely nearest neighbor
approximation and linear interpolation. The approach is applied to a simple
nonlinear system consisting of two coupled water tanks. The simulations show
that the performance of the residual generators are good under steady state
conditions. It is also shown that linear interpolation has better performance
than nearest neighbor approximation.
Marcus Klein and Lars Nielsen
IFAC Fault Detection, Supervision and Safety for Technical Processes,
2000
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