Design of mixed H2-dissipative observers with stochastic resilience for discrete-time nonlinear systems

Authors

Chung Seop Jeong, Marquette UniversityFollow
Edwin E. Yaz, Marquette UniversityFollow
Yvonne I. Yaz, Milwaukee School of EngineeringFollow

Document Type

Article

Language

eng

Format of Original

20 p.

Publication Date

4-2011

Publisher

Elsevier

Source Publication

Journal of the Franklin Institute

Source ISSN

0016-0032

Original Item ID

doi: 10.1016/j.jfranklin.2011.02.008

Abstract

A linear matrix inequality based mixed H₂-dissipative type state observer design approach is presented for smooth discrete time nonlinear systems with finite energy disturbances. This observer is designed to maintain H₂ type estimation error performance together with either H_∞ or a passivity type disturbance reduction performance in case of randomly varying perturbations in its gain. A linear matrix inequality is used at each time instant to find the time-varying gain of the observer. Simulation studies are included to explore the performance in comparison to the extended Kalman filter and a previously proposed constant gain observer counterpart.

Comments

Journal of the Franklin Institute, Volume 348, Issue 4, pp 790–809 (May, 2011). DOI: 10.1016/j.jfranklin.2011.02.008

Recommended Citation

Jeong, Chung Seop; Yaz, Edwin E.; and Yaz, Yvonne I., "Design of mixed H2-dissipative observers with stochastic resilience for discrete-time nonlinear systems" (2011). Electrical and Computer Engineering Faculty Research and Publications. 4.
https://epublications.marquette.edu/electric_fac/4