Sampled-data \(H_\infty\) filtering of Takagi-Sugeno fuzzy systems with interval time-varying delays

DOI10.1016/j.jfranklin.2013.12.015zbMath1372.93199OpenAlexW1972739308MaRDI QIDQ2410771

Xiaohua Ge, Xiefu Jiang, Qing-Long Han

Publication date: 19 October 2017

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

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2013.12.015

zbMATH Keywords

continuous stirred tank reactorLyapunov-Krasovskii functionalJensen's integral inequalityinterval time-varying state delaysampled-data \(H_\infty\) filtering for a continuous-time Takagi-Sugeno fuzzy system

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Fuzzy control/observation systems (93C42) Estimation and detection in stochastic control theory (93E10) (H^infty)-control (93B36) Sampled-data control/observation systems (93C57) Asymptotic stability in control theory (93D20) Stochastic stability in control theory (93E15)

Related Items (16)

New state transformations of time-delay systems with multiple delays and their applications to state observer design ⋮ Fuzzy optimal control for nonlinear systems with time-varying delay via sampled-data controller ⋮ Exponential stabilization for fuzzy sampled-data system based on a unified framework and its application ⋮ Exponential stability analysis and \(l_1\) synthesis of positive T-S fuzzy systems with time-varying delays ⋮ Event-triggered \(H_\infty\) filtering for delayed neural networks via sampled-data ⋮ Improved stabilization criteria for fuzzy systems under variable sampling ⋮ Robust fuzzy-model-based filtering for nonlinear networked systems with energy constraints ⋮ Stabilization of Takagi-Sugeno models with non-measured premises: input-to-state stability approach ⋮ Affine matched parameterization approach to sampled-data stabilization criteria for T-S fuzzy systems with variable sampling ⋮ Sampled-data filtering of Takagi-Sugeno fuzzy neural networks with interval time-varying delays ⋮ Sampled-data \(H_{\infty}\) fuzzy filtering for nonlinear systems with missing measurements ⋮ Fuzzy control design of nonlinear systems under unreliable communication links: a systematic homogenous polynomial approach ⋮ Consensus in asynchronous multiagent systems. I: Asynchronous consensus models ⋮ Stabilization analysis for fuzzy systems with a switched sampled-data control ⋮ Further robust stability analysis for uncertain Takagi-Sugeno fuzzy systems with time-varying delay via relaxed integral inequality ⋮ Robust recursive filtering for uncertain stochastic systems with amplify-and-forward relays

Cites Work

• Exponential stability for positive systems with bounded time-varying delays and static output feedback stabilization
• Wirtinger's inequality and Lyapunov-based sampled-data stabilization
• Robust switching-type \(H_{\infty }\) filter design for linear uncertain systems with time-varying delay
• \(\mathcal H_{\infty }\) filtering for sampled-data stochastic systems with limited capacity channel
• An LMI approach to robust \(H_\infty\) filtering for uncertain systems with time-varying distributed delays
• Reciprocally convex approach to stability of systems with time-varying delays
• A delay-derivative-dependent approach to robust \(H^\infty\) filter design for uncertain systems with time-varying distributed delays
• Robust \(H_\infty \) filter design for uncertain fuzzy neutral systems
• Delay-dependent robust stability for uncertain linear systems with interval time-varying delay
• Improved delay-range-dependent stability criteria for linear systems with time-varying delays
• New conditions for delay-derivative-dependent stability
• Introduction to functional differential equations
• Robust \(H_{\infty}\) filtering for uncertain impulsive stochastic systems under sampled measurements
• A new approach to \(H_{\infty }\) filtering for linear time-delay systems
• New delay-dependent stability criteria for systems with interval delay
• New stability analysis for systems with interval time-varying delay
• Stability and robust stability for systems with a time-varying delay
• Sampled-data \(H_{\infty }\) control and filtering: Nonuniform uncertain sampling
• Robust \(H_{\infty }\) filtering for a class of uncertain linear systems with time-varying delay
• Input/output delay approach to robust sampled-data \(H_{\infty }\) control
• Handbook of networked and embedded control systems.
• H/sub infinity / control and filtering for sampled-data systems
• H _∞ filtering for singular systems with time-varying delay
• A New Approach to the H_∞ Design of Optimal Digital Linear Filters
• Filtering on sampled-data systems with parametric uncertainty
• A New $H_{{\bm \infty}}$ Stabilization Criterion for Networked Control Systems
• Stability of Networked Control Systems With Uncertain Time-Varying Delays
• A Stochastic Sampled-Data Approach to Distributed $H_{\infty }$ Filtering in Sensor Networks
• Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay
• Stability Analysis of Sampled-Data Systems Using Sum of Squares
• Stability of time-delay systems
• \(H^\infty\) filtering of nonlinear systems with sampled measurements

This page was built for publication: Sampled-data \(H_\infty\) filtering of Takagi-Sugeno fuzzy systems with interval time-varying delays