Abstract
By means of two examples we show that non-singular costs can been reduced for adaptive controllers by overparameterising the estimators. The examples are for scalar and second order systems respectively. In the second example the tuning function design and the overparameterised adaptive backstepping design are compared. In both cases a system is constructed for which the overparameterised design is superior w.r.t. a non-singular measure of transient performance.
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