Robust \(\mathcal{H}_\infty\) filter design with pole constraints for discrete-time systems

DOI10.1016/S0016-0032(00)00048-XzbMath0994.93060OpenAlexW2095053097MaRDI QIDQ5952978

Pedro L. D. Peres, Reinaldo M. Palhares

Publication date: 24 September 2002

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0016-0032(00)00048-x

zbMATH Keywords

convex optimizationlinear matrix inequality\(H_\infty\) filteringrobust filteringpole constraintspolytope type uncertainty

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Linear inequalities of matrices (15A39) Discrete-time control/observation systems (93C55)

Related Items (8)

Robust finite frequency \(H_\infty \) filtering for uncertain 2-D systems: the FM model case ⋮ Robust filter design for a class of uncertain systems with \(\mathcal D\) stability constraints under a unified framework ⋮ Robust \(\mathcal H_{\infty}\) reduced order filtering for uncertain bilinear systems ⋮ Theories for design and analysis of robust \(H_\infty/H_-\) fault detectors ⋮ Robust H-infinity estimation for continuous-time polytopic uncertain systems ⋮ Design of parameter-scheduled state-feedback controllers using shifting specifications ⋮ Further results on H∞ filtering for discrete-time systems with state delay ⋮ Improved robust \(H\)-infinity estimation for uncertain continuous-time systems

Uses Software

• LMI toolbox

Cites Work

• Unnamed Item
• On the discrete-time bounded real lemma with application in the characterization of static state feedback \(H_ \infty\) controllers
• The projective method for solving linear matrix inequalities
• Robust \({\mathcal H}_\infty\)-filtering design with pole placement constraint via linear matrix inequalities
• Filtering and smoothing in an H/sup infinity / setting
• Linear Matrix Inequalities in System and Control Theory
• ℋ_∞and ℋ₂guaranteed costs computation for uncertain linear systems
• Multiobjective output-feedback control via LMI optimization
• Output feedback H_∞ control of systems with parameter uncertainty
• Robust filtering for a class of discrete-time uncertain nonlinear systems: AnH∞ approach
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses

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