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Improved LMI Conditions for Unknown Input Observer Design of Discrete-time LPV Systems
Matheus Senna de Oliveira,Renan Lima Pereira 제어·로봇·시스템학회 2020 International Journal of Control, Automation, and Vol.18 No.10
This paper presents a novel unknown input observer (UIO) design for discrete-time linear parametervarying (LPV) systems. One feature of the proposed approach is the ability of handling LPV systems with variation in both states and outputs matrices. The design problem has been formulated using a less conservative discrete-time stability condition which allows to obtain proportional UIO and proportional-integral UIO structures. Existence conditions for both structures are provided. These poly-quadratic conditions rely on the use of parameter-dependentLyapunov functions defined in terms of Linear Matrix Inequalities. Furthermore, an extended formulation using the H∞ performance index is also derived. Finally, the effectiveness of the proposed design method is illustrated through numerical examples.