Skip to Main content Skip to Navigation
Journal articles

Gain-scheduled H ∞ admissibilisation of LPV discrete-time systems with LPV singular descriptor

Abstract : This paper deals with the admissibilisation with guaranteed H∞ performance of linear parameter-varying (LPV) discrete-time singular systems under gain-scheduled (GS) state-feedback control. In particular, we focus on systems with descriptor matrix of LPV form and unknown/unmeasurable disturbance input. To our best knowledge and despite its practical interest, this problem has not been fully investigated and still poses relevant issues, which motivates our study. By means of a proposed descriptor redundancy approach, in combination with the bounded real lemma and Finsler's Lemma, a method based on linear matrix inequalities is proposed to design a GS state-feedback control with maximum H∞ performance. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach.
Document type :
Journal articles
Complete list of metadata

https://hal-uphf.archives-ouvertes.fr/hal-03429302
Contributor : Kathleen Torck Connect in order to contact the contributor
Submitted on : Monday, November 15, 2021 - 3:30:07 PM
Last modification on : Tuesday, November 16, 2021 - 3:56:48 AM

Identifiers

Collections

Citation

Antonio Gonzalez Sorribes, Víctor Estrada Manzo, Thierry-Marie Guerra. Gain-scheduled H ∞ admissibilisation of LPV discrete-time systems with LPV singular descriptor. International Journal of Systems Science, Taylor & Francis, 2017, 48 (15), pp.3215-3224. ⟨10.1080/00207721.2017.1371360⟩. ⟨hal-03429302⟩

Share

Metrics

Record views

9