In this chapter, chaotifying both discrete-time and continuous-time Takagi-Sugeno (TS) fuzzy systems is introduced. To chaotify discrete-time TS fuzzy systems, the parallel distributed compensation (PDC) method is employed to determine the structure of a fuzzy controller so as to make all ...
In this chapter, synchronization of TS fuzzy systems is discussed, where a fuzzy feedback law is adopted and realized via exact linearization (EL) techniques and by solving LMI problems. Two examples, synchronization of Chen's systems and hyperchaotic systems, are given for illustration....
In this paper, a systematic design of habitually evolving Takagi–Sugeno (TS) fuzzy systems, suggested for online prediction of processes with uncertainty, is introduced. A Habitually Linear Evolving Fuzzy System (HLEFS) starts off with an adaptive linear model and evolves into a TS fuzzy model ...
The TP and TS Fuzzy model transformation based control design has revolutionized the field of control design by introducing a highly effective approach. Through the TP model transformation, it has become evident that the design of controllers and observers, as well as the effectiveness of applied ...
Construction of T-S fuzzy system and the sufficient condition of ts approximation abilityT-S模糊系统的构造及其逼近能力的充分条件T-S模糊系统模糊划分逼近能力充分条件针对任意多变量非线性函数, 至今缺少一种简单有效的构造性方法来建造一个T-S模糊系统对其实现给定精度的模糊逼近. 本文在逼近函数g(X)∈C2及g...
ANFIS: Adaptive-Network-based Fuzzy Inference Systems简称自适应模糊圣经网络。 ANFIS是一种基于模糊推理的神经网络。依据对规则的判定方式不一样,常有基于网格和基于聚类的ANFIS之分。这两种模型在网络结构也略有不同。 2、ANFIS网络结构 2.1 基于网格的ANFIS ...
Combining Takagi–Sugeno (TS) fuzzy model and impulsive control, a new approach to control chaotic systems, namely fuzzy impulsive control, is proposed in this paper. The rigorous stability analysis of the proposed method is given. The effectiveness of the approach is tested on Chua’s circuit,...
The exact output regulation problem for Takagi-Sugeno (TS) fuzzy models, designed from linear local subsystems, may have a solution if input matrices are the same for every local linear subsystem. Unfortunately, such a condition is difficult to accomplish in general. Therefore, in this work, an...
TS fuzzy modelsUnmeasurable decision variablesUnknown input reconstructionProportional Integral ObserverSynchronizationChaotic systemIn this paper, the chaos synchronization problem is treated by an unknown input proportional integral observer (PIO) for a Takagi-Sugeno (TS) fuzzy chaotic model subject to ...
Using a non-quadratic function (well-known integral Lyapunov fuzzy candidate (ILF)) and some lemmas, new sufficient conditions are established as linear matrix inequalities (LMIs), which are solved with a stochastic fractal search (SFS). The main advantage of the technique used is its small ...