An extended-observer approach to robust stabilisation of linear differential-algebraic systems
Thispaperaddressestheproblemofrobustlystabilisingaclassoflineardifferential-algebraic systems char-
acterised by autonomous and asymptotically stable zero dynamics, in spite of parameter uncertainties
ranging over apriori fixed bounded sets. We exploit recent results related to the structural properties and
normal forms of this class of systems and propose a robust control that asymptotically recovers, in practical
terms, the performance of a nominal, though non-implementable, stabilising control. The proposed con-