Hankel norm model approximation of Takagi–Sugeno fuzzy time-delay systems

T Peng, X Yang, C Wu, L Wu, B Pang - Journal of the Franklin Institute, 2013 - Elsevier
This paper is concerned with the Hankel norm model approximation for discrete-time Takagi–
Sugeno (T–S) fuzzy systems with time delay. For a given stable T–S fuzzy system, our …

Model approximation for discrete-time state-delay systems in the T–S fuzzy framework

L Wu, X Su, P Shi, J Qiu - IEEE Transactions on Fuzzy Systems, 2011 - ieeexplore.ieee.org
This paper is concerned with the problem of H∞ model approximation for discrete-time
Takagi-Sugeno (TS) fuzzy time-delay systems. For a given stable TS fuzzy system, our …

Model approximation of discrete-time TS fuzzy time-delay systems

L Wu, X Su, P Shi - Fuzzy Control Systems with Time-Delay and Stochastic …, 2015 - Springer
In this chapter, the H_∞ model approximation problem is studied for discretetime TS fuzzy
time-delay systems. For a given high-order TS fuzzy system, our attention is focused on the …

Hankel-norm model reduction for delayed fuzzy systems

H Zhou, X Su, YD Song, Q Yan - The 27th Chinese Control and …, 2015 - ieeexplore.ieee.org
The problem of Hankel-norm model reduction is investigated for the TS fuzzy system with
time-varying delays. Our key work is to construct the reduced-order model based on a given …

Hankel norm model reduction of discrete-time interval type-2 T–S fuzzy systems with state delay

Y Zeng, HK Lam, L Wu - IEEE Transactions on Fuzzy Systems, 2019 - ieeexplore.ieee.org
This article focuses on the model reduction problem of discrete-time time-delay interval type-
2 Takagi-Sugeno (T–S) fuzzy systems. Compared with the type-1 T–S fuzzy system, the …

A novel stabilization condition for a class of T–S fuzzy time-delay systems

SH Tsai, YA Chen, JC Lo - Neurocomputing, 2016 - Elsevier
In this paper, a relaxed stabilization problem for a class of Takagi and Sugeno (T–S) fuzzy
time-delay systems is explored. By utilizing homogeneous polynomials scheme and Pólya׳ s …

On delay-dependent approach for robust stability and stabilization of T–S fuzzy systems with constant delay and uncertainties

C Peng, D Yue, TC Yang… - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
This paper investigates robust stability analysis and stabilization of delay and uncertain
systems approximated by a Takagi-Sugeno (TS) fuzzy model. An innovative approach is …

A novel relaxed stabilization condition for a class of TS time-delay fuzzy systems

SH Tsai, CJ Fang - … Conference on Fuzzy Systems (FUZZ-IEEE), 2014 - ieeexplore.ieee.org
In this paper, the relaxed delay-dependent stabilization problem for a class of Takagi and
Sugeno (TS) fuzzy time-delay systems is explored. By utilizing homogeneous polynomials …

Stability and stabilization of delayed T--S fuzzy systems: a delay partitioning approach

Y Zhao, H Gao, J Lam, B Du - IEEE Transactions on Fuzzy …, 2008 - ieeexplore.ieee.org
This paper proposes a new approach, namely, the delay partitioning approach, to solving
the problems of stability analysis and stabilization for continuous time-delay Takagi-Sugeno …

Improved stability condition for Takagi–Sugeno fuzzy systems with time-varying delay

Z Feng, WX Zheng - IEEE transactions on cybernetics, 2016 - ieeexplore.ieee.org
In this paper, the stability analysis problem of Takagi-Sugeno fuzzy systems with time-
varying delay is investigated. By utilizing the Wirtinger-based integral inequality and the …