Singular perturbation methods in the design of observers and stabilising feedback controllers for multivariable linear systems

Abstract

Singular perturbation methods are used to reduce the design of stabilising feedback controllers for a class of (n+m)th-order systems with inaccessible states to the design of nth-order observers and associated feedback controllers for nth-order reduced systems obtained by ignoring ‘parasitic’ elements that correspond to the presence of a small parameter in the state equations of the (n+m)th-order systems.