Title :
ℌ∞ Filtering of Lipschitz nonlinear systems with network-induced uncertain delays
Author :
Charandabi, Behnam A. ; Marquez, Horacio J.
Author_Institution :
Fac. of Electr. & Comput. Eng., Univ. of Alberta, Edmonton, AB, Canada
Abstract :
In this paper, a filter design scheme is proposed for Lipschitz nonlinear systems with delays. It is assumed that the measurements are transmitted through a communication network and therefore reach the filter with an uncertain delay. The design methodology is formulated as an optimization problem with LMI constraints, which are derived using a less conservative Lyapunov-Krasovskii function and establish an ℌ∞ attenuation level on the effects of the unwanted exogenous inputs on the estimation error. Simulation results are given to illustrate the effectiveness of the proposed filter.
Keywords :
H∞ control; Lyapunov methods; control system synthesis; delay systems; filtering theory; linear matrix inequalities; nonlinear control systems; optimisation; uncertain systems; ℌ∞ attenuation level; ℌ∞ filtering; LMI constraint; Lipschitz nonlinear system; Lyapunov-Krasovskii function; filter design scheme; network-induced uncertain delay; optimization problem; Delay; Estimation error; Kalman filters; Linear systems; Nonlinear systems; Robustness; Stability analysis;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426516