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		Masoud ABBASZADEH,Horacio J. MARQUEZ.[en_title][J].Control Theory and Technology,2012,10(2):152~158.[Copy]

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MasoudABBASZADEH,HoracioJ.MARQUEZ
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(United Technologies Research Center, East Hartford;Department of Electrical and Computer Engineering, University of Alberta)

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Received:November 24, 2010Revised:June 26, 2011

基金项目:This work was partly supported by the Natural Sciences and Engineering Research Council (NSERC) of Canada.

Nonlinear robust H-infinity filtering for a class of uncertain systems via convex optimization

Masoud ABBASZADEH,Horacio J. MARQUEZ

(United Technologies Research Center, East Hartford;Department of Electrical and Computer Engineering, University of Alberta)

Abstract:

A new approach for robust H-infinity filtering for a class of Lipschitz nonlinear systems with time-varying uncertainties both in the linear and nonlinear parts of the system is proposed in an LMI framework. The admissible Lipschitz constant of the system and the disturbance attenuation level are maximized simultaneously through convex multi-objective optimization. The resulting H-infinity filter guarantees asymptotic stability of the estimation error dynamics with exponential convergence and is robust against nonlinear additive uncertainty and time-varying parametric uncertainties. Explicit bounds on the nonlinear uncertainty are derived based on norm-wise and element-wise robustness analysis.

Key words: Nonlinear uncertain systems Robust observers Nonlinear H-infinity filtering Convex optimization