On Robust Stabilization of Discrete-Time LPV/LFR Systems

Autor(es)

Pereira, Renan L. ; de Oliveira, Matheus S.

• Tipo de documento: Artigo Científico
• Fonte: IEEE Transactions on Automatic Control; v. 68, n. 1, p. 6-pg., 2023-01-01.

Resumo

This technical article presents novel robust stabilization conditions for discrete-time linear parameter-varying (LPV) systems with linear fractional representation (LFR). The proposed conditions rely on the use of slack variables and decision matrices associated with the LFR approach to provide new controller designs. In addition, we address parameter-dependent Lyapunov functions and full-block multipliers to obtain less conservative synthesis conditions for discrete-time LPV/LFR systems. Design conditions are cast in the form of linear matrix inequalities to generate robust state-feedback and output-feedback controllers. Numerical examples demonstrate the effectiveness of the proposed method. (AU)

• Processo FAPESP: 19/20960-5 - Projeto de controle LPV para supressão ativa do flutter em aeronaves flexíveis
• Beneficiário: Renan Lima Pereira
• Modalidade de apoio: Bolsas no Exterior - Pesquisa