LMI conditions for designing rational nonlinear observers

Author

Dezuo, Tiago ; Trofino, Alexandre

Author_Institution

Dept. of Autom. & Syst. Eng., Fed. Univ. of Santa Catarina (UFSC), Florianopolis, Brazil

fYear

2014

fDate

4-6 June 2014

Firstpage

5343

Lastpage

5348

Abstract

This paper presents a technique for designing rational nonlinear observers for rational nonlinear systems. The approach is based on a Lyapunov function that is quadratic in the estimation error and rational in the system states. The design conditions are formulated as Linear Matrix Inequalities (LMIs). If the conditions are satisfied, then the estimation error is guaranteed to asymptotically converge to zero for initial conditions on an estimated region of attraction. An optimization procedure for enlarging the region of attraction is also provided. An example is used to illustrate the results.

Keywords

linear matrix inequalities; nonlinear systems; observers; LMI conditions; Lyapunov function; design conditions; estimation error; linear matrix inequalities; optimization procedure; quadratic; rational nonlinear observers; rational nonlinear systems; system states; Asymptotic stability; Estimation error; Lyapunov methods; Matrix decomposition; Nonlinear systems; Observers; Vectors; LMIs; Observers for nonlinear systems; Optimization;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2014

Conference_Location

Portland, OR

ISSN

0743-1619

Print_ISBN

978-1-4799-3272-6

Type

conf

DOI

10.1109/ACC.2014.6858805

Filename

6858805