\(\mathrm H_\infty\) norm principle in residual filter design for discrete-time linear positive systems

DOI10.1016/j.ejcon.2018.10.001zbMath1405.93091OpenAlexW2897590873MaRDI QIDQ1712903

Dušan Krokavec, Anna Filasová

Publication date: 24 January 2019

Published in: European Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejcon.2018.10.001

zbMATH Keywords

linear matrix inequalitiesobserversSchur matricesdiscrete-time positive systemsresidual filters

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Design techniques (robust design, computer-aided design, etc.) (93B51) Discrete-time control/observation systems (93C55) (H^infty)-control (93B36) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Observability (93B07)

Related Items (5)

Descriptor Principle in Residual Filter Design for Strictly Metzler Linear Systems ⋮ Fault Detection in Linear Metzlerian Systems ⋮ On some ways to implement state-multiplicative fault detection in discrete-time linear systems ⋮ Stability of bimodal planar linear switched systems ⋮ Event-triggered filter of positive semi-Markovian jump systems with Weibull distribution

Uses Software

• SeDuMi Interface

Cites Work

• Positive systems. Proceedings of the third multidisciplinary international symposium on positive systems: theory and applications (POSTA 09), Valencia, Spain, September 2--4, 2009
• New approaches to positive observer design for discrete-time positive linear systems
• An introduction to abstract algebra
• An LMI approach to \(\mathcal H_{-}\) index and mixed \(\mathcal H_{-} / \mathcal H_{\infty}\) fault detection observer design
• Switched Time-Delay Systems
• On static output‐feedback stabilization for multi‐input multi‐output positive systems
• Sufficient LMI conditions for output feedback control problems
• Robust Stability of positive continuous time systems
• Positive 1D and 2D systems
• Stabilization of positive linear systems
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