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Dynamical robust nonlinear H filtering for Lipschitz descriptor systems with parametric and nonlinear uncertainties

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2 Author(s)
Masoud Abbaszadeh ; Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Canada, T6G 2V4 ; Horacio J. Marquez

In this paper, a dynamical robust nonlinear Hinfin filtering method is proposed for a class of Lipschitz descriptor systems in which the nonlinearities appear in both the state and measured output equations. The system is assumed to have norm-bounded uncertainties in the realization matrices as well as nonlinear uncertainties. We synthesis the Hinfin observer through semidefinite programming and strict LMIs. The admissible Lipschitz constants of the nonlinear functions are maximized through LMI optimization. The resulting Hinfin observer guarantees asymptotic stability of the estimation error dynamics with prespecified disturbance attenuation level and is robust against time-varying parametric uncertainties as well as Lipschitz nonlinear additive uncertainty. Explicit bound on the tolerable nonlinear uncertainty is derived based on norm-wise robustness analysis.

Published in:

Control and Automation, 2008 16th Mediterranean Conference on

Date of Conference:

25-27 June 2008