Robust and Non-Fragile H∞ Observer-Based Filter Design for Parameter Uncertain System Using PLMI Approach

Seung Hyeop Yang; Seung Hyun Paik; Hong Bae Park

doi:10.4028/www.scientific.net/AMM.373-375.685

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 373-375Robust and Non-Fragile H∞ Observer-Based Filter...

Robust and Non-Fragile H_∞ Observer-Based Filter Design for Parameter Uncertain System Using PLMI Approach

Abstract:

This paper describes the synthesis of a robust and non-fragile H_∞ observer-based filter design for a class of parameter uncertain system with polytopic uncertainties, disturbances, and gain variations. We present the sufficient condition for filter existence and the method for designing a robust and non-fragile H_∞ filter by using LMIs (Linear Matrix Inequalities) technique. Because the obtained sufficient condition can be represented as PLMIs (Parameterized Linear Matrix Inequalities), which can generate infinite LMIs, we use the relaxation technique to find finite solutions for a robust and non-fragile H_∞ filter. We show that the proposed filter can minimize the estimation error in terms of parameter uncertainties, filter-fragility, and disturbances.