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Peixoto, Marcia L.C., Lacerda, Marcio J., Guerra, Thierry-Marie, Palma, Jonathan M. and Palhares, Reinaldo M. (2025) A novel H∞ filter design condition for discrete-time linear parameter-varying systems. In: 11th IFAC Symposium on Robust Control Design, ROCOND'25, July 2-4, 2025, Porto, Portugal. (In Press)
This paper presents a novel condition for designing full-order parameter-dependent filters for discrete-time linear parameter-varying (LPV) systems. It is assumed that time-varying parameters are measured and can be used online. However, in scenarios where such
parameters are unavailable, a robust filter can be designed. Notably, the filtering matrices are derived independently from the Lyapunov function, allowing for the use of parameter-dependent Lyapunov functions even in robust filter designs. The Lyapunov theory to design parameter-dependent filters with a guaranteed H∞ performance is employed, and the proposed conditions are formulated in the form of linear matrix inequalities. A feature of the proposed method is that filtering matrices are directly recovered from synthesis conditions, eliminating the need for variable changes. Numerical experiments demonstrate the efficacy of our proposed approach.
Available under License Creative Commons Attribution Non-commercial No Derivatives 4.0.
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