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Journal ArticleDOI

Fuzzy Modeling and Synchronization of Two Totally Different Chaotic Systems via Novel Fuzzy Model

Shih-Yu Li, +1 more
- Vol. 41, Iss: 4, pp 1015-1026
TLDR
A new fuzzy model is presented to simulate and synchronize two totally different and complicated chaotic systems, namely, 1) quantum cellular neural networks nanosystem (Quantum-CNN system) and 2) Qi system.
Abstract
In this paper, a new fuzzy model is presented to simulate and synchronize two totally different and complicated chaotic systems, namely, 1) quantum cellular neural networks nanosystem (Quantum-CNN system) and 2) Qi system. Through the new fuzzy model, the following three main advantages can be obtained: 1) only two linear subsystems are needed; 2) the numbers of fuzzy rules can be reduced from 2 N to 2 ×N (comparing with the Takagi-Sugeno fuzzy model), where N is the number of nonlinear terms; 3) fuzzy synchronization of two different chaotic systems with different numbers of nonlinear terms can be achieved with only two sets of gain K. There are two examples in numerical simulation results to show the effectiveness and feasibility of our new model.

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Citations
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Journal ArticleDOI

Exponential Adaptive Lag Synchronization of Memristive Neural Networks via Fuzzy Method and Applications in Pseudorandom Number Generators

TL;DR: A fuzzy model of Mnns is employed to provide a new way of analyzing the complicated MNNs with only two subsystems, and update laws for the connection weights of slave systems and controller gain are designed to make the slave systems exponentially lag synchronized with the master systems.
Journal ArticleDOI

Local synchronization of chaotic neural networks with sampled-data and saturating actuators.

TL;DR: A new time-dependent Lyapunov functional is proposed for the synchronization error systems that is positive definite at sampling times but not necessarily between sampling times, and makes full use of the available information about the actual sampling pattern.
Journal ArticleDOI

Global exponential synchronization of memristor-based recurrent neural networks with time-varying delays

TL;DR: A new fuzzy model employing parallel distributed compensation (PDC) gives a new way to analyze the complicated memristor-based recurrent neural networks with only two subsystems, and improves and generalized the results derived in the previous literature.
Journal ArticleDOI

Fault Detection for Fuzzy Semi-Markov Jump Systems Based on Interval Type-2 Fuzzy Approach

TL;DR: This article studies the fault detection problem for continuous-time fuzzy semi-Markov jump systems (FSMJSs) by employing an interval type-2 (IT2) fuzzy approach and it can be guaranteed that the constructed fault detection model based on this filter and IT2 FSMJSs is stochastically stable with $H_{\infty }$ performance.
Journal ArticleDOI

On Fuzzy Sampled-Data Control of Chaotic Systems Via a Time-Dependent Lyapunov Functional Approach

TL;DR: A novel approach to fuzzy sampled-data control of chaotic systems is presented by using a time-dependent Lyapunov functional that makes full use of the information on the piecewise constant input and the actual sampling pattern.
References
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Journal ArticleDOI

Fuzzy identification of systems and its applications to modeling and control

TL;DR: A mathematical tool to build a fuzzy model of a system where fuzzy implications and reasoning are used is presented and two applications of the method to industrial processes are discussed: a water cleaning process and a converter in a steel-making process.
Journal ArticleDOI

Chaos synchronization between two different chaotic systems using active control

TL;DR: Chaos synchronization between two different chaotic systems by using active control is presented, applied to achieve chaos synchronization for each pair of the dynamical systems Lorenz, Lu and Chen.
Journal ArticleDOI

On the Stability of Interval Type-2 TSK Fuzzy Logic Control Systems

TL;DR: The methods presented in this paper lay the mathematical foundations for analyzing the stability and facilitating the design of stabilizing controllers of IT2 TSK F LCSs and IT2 TS FLCSs with significantly improved performance over type-1 approaches.
Journal ArticleDOI

Stabilization of Nonlinear Systems Under Variable Sampling: A Fuzzy Control Approach

TL;DR: Two procedures for designing state-feedback control laws are given: one casts the controller design into a convex optimization by introducing some over design and the other utilizes the cone complementarity linearization idea to cast the controllerDesign into a sequential minimization problem subject to linear matrix inequality constraints, which can be readily solved using standard numerical software.
Journal ArticleDOI

A Fuzzy Logic Controller tuned with PSO for 2 DOF robot trajectory control

TL;DR: In this paper, a 2 DOF planar robot was controlled by Fuzzy Logic Controller tuned with a particle swarm optimization and simulation results show that Fuzzies Logic Controller is better and more robust than the PID tuned by particle swarm optimized for robot trajectory control.
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