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, with
e.g. ``The Minimal Polynomial Basis Method''. However, for nonlinear systems
the situation is much more complicated. Here an approach will be taken using
the linear method above 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 neighbour 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 neighbour approximation,
especially during transients.
Marcus Klein
1999
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