Towards state estimation of Persidskii systems

Wenjie Mei, Denis V. Efimov, Rosane Ushirobira

Abstract: A state estimation scheme for a class of Persidskii systems is introduced in this paper. Two distinct sets of conditions are formulated for robust stability and convergence of the state estimation error using the theories of input-to-output stability (IOS) and input-to-state stability (ISS). These conditions for the nonlinear error dynamics are established in the form of linear matrix inequalities. Two numerical examples are presented to illustrate the effectiveness of the proposed results.