Asymptotically necessary and sufficient conditions for Takagi-sugeno models using generalized non-quadratic parameter-dependent controller design

DOI10.1016/j.fss.2015.12.012zbMath1368.93326OpenAlexW2215376282MaRDI QIDQ2013759

Miguel Bernal, Raymundo Márquez, Alexandre Kruszewski, Thierry Marie Guerra

Publication date: 9 August 2017

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2015.12.012

zbMATH Keywords

linear matrix inequalityTakagi-Sugeno modelnon-quadratic Lyapunov functionnon-parallel distributed compensation

Mathematics Subject Classification ID

Fuzzy control/observation systems (93C42) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (10)

A multiple-parameterization approach for local stabilization of constrained Takagi-Sugeno fuzzy systems with nonlinear consequents ⋮ \( H_\infty\) control for continuous-time Takagi-Sugeno fuzzy model by applying generalized Lyapunov function and introducing outer variables ⋮ Fuzzy multi-objective fault-tolerant control for nonlinear Markov jump singularly perturbed systems with persistent dwell-time switched transition probabilities ⋮ A co-design condition for dynamic event-triggered feedback linearization control ⋮ Robust fault detection of T-S fuzzy systems with time-delay using fuzzy functional observer ⋮ New stability criterion for Takagi-sugeno fuzzy Cohen-Grossberg neural networks with probabilistic time-varying delays ⋮ T-S fuzzy BIBO stabilisation of non-linear systems under persistent perturbations using fuzzy Lyapunov functions and non-PDC control laws ⋮ On local \(\mathcal{H}_\infty\) switched controller design for uncertain T-S fuzzy systems subject to actuator saturation with unknown membership functions ⋮ Local stabilization for discrete-time T-S fuzzy time-delay systems with sensor fault ⋮ Control: Advances on Fuzzy Model-Based Observers

Uses Software

• SeDuMi
• YALMIP

Cites Work

• Unnamed Item
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• Fuzzy identification of systems and its applications to modeling and control
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• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• Parameter-Dependent LMIs in Robust Analysis: Characterization of Homogeneous Polynomially Parameter-Dependent Solutions Via LMI Relaxations

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