EQUATIONS
Print ISSN: 2944-9146, E-ISSN: 2732-9976 An Open Access International Journal of Mathematical and Computational Methods in Science and Engineering
Volume 1, 2021
Designing a Generalized PIO for Polytropic Discrete Time Systems
Authors: Addison Rios-Bolivar, Francklin Rivas
Abstract: Considering the Linear Parameter Varying (LPV) systems of discrete time, in this paper an approach for the synthesis of robust Proporcional+Integral Observers (PIO) is presented. From LPV systems characterized with polytopical uncertainties, the method of design is based on considering a dynamics extended of the typical PIO, in order to transform the design of the matrices of the dynamics of the observer, as a design of the gain of Static Output Feedback (SOF) of a problem of robust control. Under these conditions and from the norms H2=H1 described as Linear Matrix Inequalities (LMI), the criteria to obtain the gain in the SOF problem are established; taking into account performance indices in H2 and H1, under the presence of uncertainties and disturbances.
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Keywords: Discrete-time systems. LPV Systems. Proportional+Integral Observers (PIO). Linear Matrix Inequalities (LMI). H2-H1 Norms
Pages: 1-10
DOI: 10.37394/232021.2021.1.1
Equations, ISSN / E-ISSN: 2944-9146 / 2732-9976, Volume 1, 2021, Art. #1