On Robust Stabilization of Discrete-Time LPV/LFR Systems

• 成果类型: Article
• 署名作者: Pereira, Renan L.; de Oliveira, Matheus S.
• 署名单位: Comando-Geral de Tecnologia Aeroespacial (CTA); Instituto Tecnologico de Aeronautica (ITA)
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3140255
• 发表日期: 2023
• 页码: 448-453
• 关键词: Linear matrix inequalities; Atmospheric modeling; Linear matrix inequalities (LMIs); linear parameter -varying (LPV) systems; Robust control

摘要

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.