Improvement of the performances of a multiobserver for the reconstruction of state and estimation of unknown inputs of a discrete multimodel using piecewise quadratic functions

Abstract EN

This paper deals with a piecewise quadratic approach very powerful for the synthesis of a multiobserver able to estimate the states and unknown inputs of a discrete nonlinear system.

The stabilization of the error observation is guaranteed by the use of the second Lyapunov approach.

The stability conditions obtained are expressed in term of Linear Matrices Inequalities (LMI) and are got from the use of the Lyapunov quadratic functions in a first study and from the Lyapunov piecewise quadratic functions in a second study which appears less conservative and less constraining than the first.

Numerical examples are also presented in this paper.