Title

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

Document Type

Article

Publication Date

4-2011

Source Publication

Journal of the Franklin Institute

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