H∞ Observers Design for a Class of Continuous Time Nonlinear Singular Systems

Abstract EN

This paper considers the problem of H∞ observers design for a class of Lipschitz continuous nonlinear singular systems.

The method is based on the parameterization of the solution of the generalized Sylvester equations obtained from the estimation errors.

Sufficient conditions for the existence of the observers which guarantee stability and the worst case observers error energy over all bounded energy disturbances is minimized are given.

The approach also unifies the full-order, the reduced-order, and the minimal-order observers design.

The solutions are obtained through linear matrix inequalities (LMIs) formulation.

A numerical example is given to illustrate our results.