Gain-scheduled filtering for linear parameter-varying systems using inexact scheduling parameters with bounded variation rates

DOI10.1002/rnc.3482zbMath1346.93379OpenAlexW2178928237MaRDI QIDQ3187905

Arash Sadeghzadeh

Publication date: 5 September 2016

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rnc.3482

zbMATH Keywords

filtering problemlinear parameter-varying system\(H_{2}\) performanceinexactly measured parametersbounded parameter variation rate

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Estimation and detection in stochastic control theory (93E10) Linear systems in control theory (93C05) Synthesis problems (93B50)

Related Items (4)

On exploiting inexact scheduling parameters for gain-scheduled control of linear parameter-varying discrete-time systems ⋮ Robust \(\mathbf{H_2}\) output-feedback bumpless transfer control of polytopic uncertain LPV systems ⋮ New results on sampled‐data output‐feedback control of linear parameter‐varying systems ⋮ Advanced controller synthesis for fuzzy parameter varying systems

Uses Software

• SeDuMi
• YALMIP

Cites Work

• Robust \(\mathcal H_{2}\) and \(\mathcal H_{\infty}\) filter design for uncertain linear systems via LMIs and polynomial matrices
• Robust \(H_{2}\) and \(H_{\infty }\) filtering for uncertain linear systems
• Filter design for LPV systems using quadratically parameter-dependent Lyapunov functions
• A new design of robust \(H_2\) filters for uncertain systems
• Parameter-dependent \(\mathcal H_2\) and \(\mathcal H_{\infty}\) filter design for linear systems with arbitrarily time-varying parameters in polytopic domains
• Gain-scheduled open-loop system design for LPV systems using polynomially parameter-dependent Lyapunov functions
• A new robust D-stability condition for real convex polytopic uncertainty
• A new discrete-time robust stability condition
• \(\mathcal H_2\) robust filter design with performance certificate via convex programming
• Robust \(\mathcal H_2\) filtering for uncertain linear systems: LMI based methods with parametric Lyapunov functions
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• On Inexact LPV Control Design of Continuous–Time Polytopic Systems
• Bounded State Reconstruction Error for LPV Systems With Estimated Parameters
• Robust Filtering for Linear Systems With Convex-Bounded Uncertain Time-Varying Parameters
• Parameter-Dependent LMIs in Robust Analysis: Characterization of Homogeneous Polynomially Parameter-Dependent Solutions Via LMI Relaxations
• Gain‐scheduled H_∞ filtering of parameter‐varying systems
• Research on gain scheduling

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