Robust Admissibilization of Descriptor LPV Systems based on SOF

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Abstract: The contribution of this work is focused on the analysis and synthesis of controllers based on static output feedback (SOF), for a class of descriptor linear parameter variable (LPV) systems. Descriptors systems, called also: differential-algebraic systems, singular systems, semi-state systems or generalized state-space systems; are considered to possess disturbances and parametric uncertainties of polytopic type, as are described by the following equation: $$Ez˙(t) = F(ρ)z(t) + B(ρ)ω(t) + Bu(t), h(t) = C(ρ)z(t)$$ where ρ is a parametric variation. From a condition of existence of a linear injective application, representing the generalized inverse matrix of E, the original descriptor system is transformed to a LPV system. Then, the condition for the static output feedback on the LPV system is analyzed. Synthesis of the SOF-based controller is obtained considering performance indices in H2 and H1, described as linear matrix inequalities, LMIs, as criteria in order to obtain the gain of SOF, in the presence of uncertainties and disturbances.

WSEAS Transactions on Information Science and Applications, ISSN / E-ISSN: 1790-0832 / 2224-3402, Volume 16, 2019, Art. #13

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Addison Rios-bolivar, Francklin Rivas, "Robust Admissibilization of Descriptor LPV Systems based on SOF," WSEAS Transactions on Information Science and Applications, vol. 16, pp. 111-118, 2019, DOI:
Addison Rios-bolivar, Francklin Rivas. Robust Admissibilization of Descriptor LPV Systems based on SOF. WSEAS Transactions on Information Science and Applications. 2019;16:111-118.
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