LMI-Based Filter Design Conditions for Discrete-Time LPV Systems With Bounded Parameter Variation

• 成果类型: Article
• 署名作者: de Oliveira, Matheus Senna; Pereira, Renan Lima
• 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.2020.2987772
• 发表日期: 2021
• 页码: 910-915
• 关键词: Linear matrix inequalities (LMIs); linear parameter-varying filter; Time-varying systems

摘要

In this article, we introduce novel filter design conditions for discrete-time linear parameter-varying (LPV) systems. The two main features of the proposed conditions are: the ability of handling LPV systems subject to variation in all matrices of the system and the generalization for systems with bounded rates of parameter variation. Filter stability and H-infinity filtering problems are addressed through poly-quadratic Lyapunov functions in terms of linear matrix inequalities. Numerical examples illustrate the proposed designs effectiveness.