Robust \(H_\infty\) filter design with past output measurements for uncertain discrete-time systems

DOI10.1016/j.automatica.2016.04.050zbMath1343.93085OpenAlexW2409156664MaRDI QIDQ313195

Pedro L. D. Peres, Ricardo C. L. F. Oliveira, Luciano Frezzatto, Maurício Carvalho de Oliveira

Publication date: 9 September 2016

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2016.04.050

zbMATH Keywords

linear matrix inequalitiesuncertain discrete-time systemsrobust \(H_\infty\) filteringlinear time-invariant systemsmemory filters

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Sensitivity (robustness) (93B35) Control/observation systems with incomplete information (93C41) Discrete-time control/observation systems (93C55) Estimation and detection in stochastic control theory (93E10) Linear systems in control theory (93C05)

Related Items (10)

Robust \(H_\infty\) filter design with past output measurements for uncertain discrete-time systems ⋮ Robust fusion filtering over multisensor systems with energy harvesting constraints ⋮ Frequency information based memory dynamic output feedback control for discrete‐time systems ⋮ memory fault detection filtering design for uncertain systems with finite frequency specifications ⋮ Robust non-minimal order filter and smoother design for discrete-time uncertain systems ⋮ Fault detection for discrete-time uncertain LPV systems using non-minimal order filter ⋮ On robust Kalman filter for two-dimensional uncertain linear discrete time-varying systems: a least squares method ⋮ \( \mathcal{H}_\infty\) non-minimal filter design in finite frequency ranges for discrete-time Takagi-Sugeno fuzzy systems with time-varying delays ⋮ Fault detection for T-S fuzzy systems with past output measurements ⋮ \(\mathcal{H}_2\) and \(\mathcal{H}_\infty\) fuzzy filters with memory for Takagi-Sugeno discrete-time systems

Uses Software

• ROLMIP

Cites Work

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• Robust \(H_\infty\) filter design with past output measurements for uncertain discrete-time systems
• Robust \(H_{2}\) and \(H_{\infty }\) filtering for uncertain linear systems
• Fast projection methods for minimal design problems in linear system theory
• Homogeneous Lyapunov functions for systems with structured uncertainties.
• \(\mathcal H_2\) robust filter design with performance certificate via convex programming
• Establishing tightness in robust \(\mathcal H _{\infty}\) analysis via homogeneous parameter-dependent Lyapunov functions
• Optimal linear filtering under parameter uncertainty
• A finite frequency approach to filter design for uncertain discrete-time systems
• Extended H 2 and H norm characterizations and controller parametrizations for discrete-time systems
• A New Approach to the H_∞ Design of Optimal Digital Linear Filters
• H₂ and $H_\infty$ Robust Filtering for Discrete-Time Linear Systems
• Reduced-Order Generalized <formula formulatype="inline"> <tex Notation="TeX">$H_{\infty}$</tex></formula> Filtering for Linear Discrete-Time Systems With Application to Channel Equalization
• Robust Filtering of Discrete-Time Linear Systems with Parameter Dependent Lyapunov Functions
• An LMI condition for the robust stability of uncertain continuous-time linear systems
• Parameter-Dependent LMIs in Robust Analysis: Characterization of Homogeneous Polynomially Parameter-Dependent Solutions Via LMI Relaxations
• ${H}_{\infty }$ Filtering for Discrete-Time State-Delayed Systems With Finite Frequency Specifications
• Robust ℋ/sub ∞/ filtering for uncertain discrete-time state-delayed systems
• Relaxations for Robust Linear Matrix Inequality Problems with Verifications for Exactness

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