Discrete-time ℋ2 and ℋ∞ poly-quadratic filter designs for polytopic LPV systems

DOI10.1080/00207721.2022.2049394zbMath1498.93736OpenAlexW4220823857MaRDI QIDQ5097804

Matheus Senna de Oliveira, Kayol S. Mayer, Renan Lima Pereira

Publication date: 1 September 2022

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207721.2022.2049394

zbMATH Keywords

linear matrix inequalitiesfilter design\(\mathcal{H}_\infty\) performance\(\mathcal{H}_2\) performancediscrete-time LPV systems

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) (H^infty)-control (93B36) Linear systems in control theory (93C05)

Uses Software

• YALMIP
• Robotics

Cites Work

• A new discrete-time robust stability condition
• A new discrete-time stabilizability condition for Linear Parameter-Varying systems
• Multi-objective H2/L2 performance controller synthesis for LPV systems
• Extended H 2 and H norm characterizations and controller parametrizations for discrete-time systems
• Stabilization of uncertain systems via linear control
• Mixed ℋ︁₂/ℋ︁_∞nonlinear filtering
• Linear Matrix Inequalities in System and Control Theory
• H₂ and $H_\infty$ Robust Filtering for Discrete-Time Linear Systems
• Gain-scheduled H_∞ admissibilisation of LPV discrete-time systems with LPV singular descriptor
• On the Necessity of LMI-Based Design Conditions for Discrete Time LPV Filters
• Observer-Based Control of Discrete-Time LPV Systems With Uncertain Parameters $ $
• Invariant set-based robust fault detection and optimal fault estimation for discrete-time LPV systems with bounded uncertainties
• Simultaneous sensor and actuator fault estimation for continuous-time polytopic LPV system
• Multiple actuator-fault detectability analysis using invariant sets for discrete-time LPV systems
• LMI-based design of state-feedback controllers for pole clustering of LPV systems in a union of 𝒟_R-regions
• Discrete‐time state‐feedback control of polytopic LPV systems
• Improved results on observer-based control for discrete-time fuzzy systems
• Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties

This page was built for publication: Discrete-time ℋ₂ and ℋ_∞ poly-quadratic filter designs for polytopic LPV systems