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S. Boyd, L. E. Ghaoui, E. Feron and V. Balakrishnan, “Linear Matrix Inequalities in System and Control Theory,” Society for Industrial and Applied Mathematics, Philadelphia, 1994.

has been cited by the following article:

• TITLE: Robust H-Filtering for Lipschitz Nonlinear Systems via Multiobjective Optimization

  AUTHORS: Masoud Abbaszadeh, Horacio J. Marquez

  KEYWORDS: Lipschitz Nonlinear Systems, Optimal Filters, Nonlinear Filtering, LMI Optimization

  JOURNAL NAME: Journal of Signal and Information Processing, Vol.1 No.1, December 1, 2010

  ABSTRACT: In this paper, a new method of filtering for Lipschitz nonlinear systems is proposed in the form of an LMI optimization problem. The proposed filter has guaranteed decay rate (exponential convergence) and is robust against unknown exogenous disturbance. In addition, thanks to the linearity of the proposed LMIs in the admissible Lipschitz constant, it can be maximized via LMI optimization. This adds an extra important feature to the observer, robustness against nonlinear uncertainty. Explicit bound on the tolerable nonlinear uncertainty is derived. The new LMI formulation also allows optimizations over the disturbance attenuation level ( cost). Then, the admissible Lipschitz constant and the disturbance attenuation level of the filter are simultaneously optimized through LMI multiobjective optimization.