scholarly journals New Results on Fuzzy Synchronization for a Kind of Disturbed Memristive Chaotic System

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Bo Wang ◽  
L. L. Chen
Keyword(s):  
Chaotic System ◽  
Chaotic Systems ◽  
Control Method ◽  
Fuzzy Controller ◽  
Fuzzy Theory ◽  
Fuzzy Model ◽  
H Infinity ◽  
The Given

This paper concerns the problem on the fuzzy synchronization for a kind of disturbed memristive chaotic system. First, based on fuzzy theory, the fuzzy model for a memristive chaotic system is presented; next, based on H-infinity technique, a multidimensional fuzzy controller and a single-dimensional fuzzy controller are designed to realize the synchronization of master-slave chaotic systems with disturbances. Finally, some typical examples are included to illuminate the correctness of the given control method.

scholarly journals Tracking Control of a Class of Chaotic Systems

Symmetry ◽  
2019 ◽  
Vol 11 (4) ◽  
pp. 568 ◽  
Author(s):  
Anqing Yang ◽  
Linshan Li ◽  
Zuoxun Wang ◽  
Rongwei Guo
Keyword(s):  
Control Problem ◽  
Periodic Orbits ◽  
Chaotic System ◽  
Tracking Control ◽  
Reference System ◽  
Chaotic Systems ◽  
Asymptotic Tracking ◽  
The Given

This paper investigates the asymptotic tracking control problem of the chaotic system. Firstly, a reference system is presented, the output of which can asymptotically track a given command. Then, a both physically implementable and simple controller is designed, by which the given chaotic system synchronizes the reference system, and thus the output of such chaotic systems can asymptotically track the given command. It should be pointed out that the output of the given chaotic system can asymptotically track arbitrary desired periodic orbits. Finally, several illustrative examples are taken as example to show the validity and effectiveness of the obtained results.

PROJECTIVE SYNCHRONIZATION OF DIFFERENT CHAOTIC SYSTEMS WITH NONLINEARITY INPUTS

2012 ◽  
Vol 26 (11) ◽  
pp. 1250059 ◽  
Author(s):  
YUJUN NIU ◽  
XINGYUAN WANG
Keyword(s):  
Chaotic Systems ◽  
Control Method ◽  
Sliding Mode ◽  
External Noise ◽  
Projective Synchronization ◽  
Adaptive Technique ◽  
Noise Disturbances ◽  
Different Chaotic Systems ◽  
Synchronization Scheme ◽  
The Given

In this paper, projective synchronization of different chaotic systems is studied, in the presence of uncertainties of system parameter variation, external noise disturbance and nonlinearity inputs. Using adaptive technique, sliding mode control method and pole assignment technique, an adaptive projective synchronization scheme is proposed to ensure the drive system and the response system with nonlinearity inputs can be rapidly synchronized up to the given scaling factor, without requiring the bounds of the system uncertainties and external noise disturbances be known in advance. The results of numerical simulation further verify the effectiveness and feasibility of the proposed scheme.

scholarly journals Fault-Tolerant Control of Doubly-Fed Wind Turbine Generation Systems under Sensor Fault Conditions

Energies ◽  
2019 ◽  
Vol 12 (17) ◽  
pp. 3239 ◽  
Author(s):  
Guodong You ◽  
Tao Xu ◽  
Honglin Su ◽  
Xiaoxin Hou ◽  
Xue Wang ◽  
...  
Keyword(s):  
Wind Turbine ◽  
Control Method ◽  
Fuzzy Controller ◽  
Fault Tolerant ◽  
Sufficient Conditions ◽  
Fuzzy Model ◽  
Fault Tolerant Control ◽  
Fault Detection And Isolation ◽  
Fuzzy Observer ◽  
Doubly Fed

This paper studies the fault-tolerant control problem of uncertain doubly-fed wind turbine generation systems with sensor faults. Considering the uncertainty of the system, a fault-tolerant control strategy based on a T-S fuzzy observer is proposed. The fuzzy observer is established based on the T-S fuzzy model of the uncertain nonlinear system. According to the comparison and analysis of residual between the state estimation of the fuzzy observer output and the measured value of the real sensor, a fault detection and isolation (FDI) based on T-S fuzzy observer is designed. Then by using a Parallel Distributed Compensation (PDC) method we design the robust fuzzy controller. Finally, the necessary and sufficient conditions for the stability of the closed-loop system are proved by quoting Lyapunov stability theory. The simulation results verify the effectiveness of the proposed control method.

Combination of Improved OGY and Guiding Orbit Method for Chaos Control

2019 ◽  
Vol 23 (5) ◽  
pp. 847-855 ◽  
Author(s):  
Lingzhi Yi ◽  
Yue Liu ◽  
Wenxin Yu ◽  
◽  
◽  
...  
Keyword(s):  
Chaotic System ◽  
Chaos Control ◽  
Chaotic Systems ◽  
Control Method ◽  
Search Algorithm ◽  
Cuckoo Search ◽  
Cuckoo Search Algorithm ◽  
Convergence Speed ◽  
Orbit Method ◽  
Modified Method

Chaotic systems have gathered much attention. When the OGY method is applied to control a chaotic system, chaos can be contained and target signals can be traced with satisfactory accuracy. However, the traditional control method have a low convergence speed, which may hamper the performance of the whole system. To solve this problem, the cuckoo search algorithm is used to guide the orbits of chaotic systems. Moreover, the OGY method is improved so that a chaotic system can be stabilized for different target points. Finally, the effectiveness of the proposed method is verified through several typical chaotic systems. The simulation results indicate that the modified method has a faster convergence speed and yields better performance than the traditional OGY control method.

APPLICATION AND ROBUSTNESS DESIGN OF FUZZY CONTROLLER FOR RESONANT AND CHAOTIC SYSTEMS WITH EXTERNAL DISTURBANCE

2005 ◽  
Vol 13 (03) ◽  
pp. 281-295 ◽  
Author(s):  
FENG-HSIAG HSIAO ◽  
WEI-LING CHIANG ◽  
CHENG-WU CHEN ◽  
SHENG-DONG XU ◽  
SHIH-LIN WU
Keyword(s):  
Chaotic Systems ◽  
Fuzzy Controller ◽  
Controller Design ◽  
Design Method ◽  
Direct Method ◽  
External Disturbance ◽  
Approximation Error ◽  
Fuzzy Model ◽  
Linear Matrix ◽  
Resonant Systems

A robustness design of fuzzy control via model-based approach is proposed in this paper to overcome the effect of approximation error between nonlinear system and Takagi-Sugeno (T-S) fuzzy model. T-S fuzz model is used to model the resonant and chaotic systems and the parallel distributed compensation (PDC) is employed to determine structures of fuzzy controllers. Linear matrix inequality (LMI) based design problems are utilized to find common definite matrices P and feedback gains K satisfying stability conditions derived in terms of Lyapunov direct method. Finally, the effectiveness and the feasibility of the proposed controller design method is demonstrated through numerical simulations on the chaotic and resonant systems.

Study on Overhead Crane Anti-Swing System with Self-Adjustable Fuzzy Control

2011 ◽  
Vol 128-129 ◽  
pp. 1050-1053 ◽  
Author(s):  
Ding Ye ◽  
Wei Jin ◽  
De Cai Li
Keyword(s):  
Control System ◽  
Steady State ◽  
Fuzzy Control ◽  
Dynamic Model ◽  
Position Control ◽  
Control Method ◽  
Fuzzy Controller ◽  
Fuzzy Theory ◽  
Overhead Crane ◽  
Scale Factors

As for shortcomings of PID and modern control method in crane anti-swing system, we introduce the fuzzy theory to the crane anti-swing on base of analyzing the crane trolley’s moving dynamic model. The cooperation between the position fuzzy controller and swing fuzzy controller achieve the goal. We use the fuzzy control system of self-adjustable quantization factors and scale factors to solve the problem that have the oscillation in limit areas causing the load lasting swing during the trolley moving position control. According to the simulation, it can solve the problem and eliminate the steady-state error completely and improve enhance the adaptivity of system. It can make the trolley reach the designation in 15s and keep the load steady.

ROBUST LINEAR OUTPUT FEEDBACK CONTROL DESIGN FOR NONLINEAR CHAOTIC SYSTEMS VIA T–S FUZZY MODEL WITH H∞ SETTING

2008 ◽  
Vol 18 (11) ◽  
pp. 3375-3392 ◽  
Author(s):  
YEN-FANG LI ◽  
CHUNG-SHI TSENG
Keyword(s):  
Chaotic System ◽  
Output Feedback ◽  
Chaotic Systems ◽  
Fuzzy Model ◽  
Output Feedback Control ◽  
Control Design ◽  
Linear Controller ◽  
Control Scheme ◽  
Linear Observer ◽  
Nonlinear Chaotic System

In this paper, the problem of H∞ control design is studied for a nonlinear chaotic system via its corresponding Takagi–Sugeno (T–S) fuzzy model. It is known that many nonlinear chaotic systems can be exactly represented by their corresponding T–S fuzzy models. First, in this study, the T–S fuzzy model is proposed to represent a class of nonlinear chaotic systems. Next, a linear output feedback control scheme, where only linear controller and linear observer are considered, with H∞ setting is proposed for the nonlinear chaotic system. Then, based on the T–S fuzzy model and the proposed linear control scheme, the H∞ controller design problem for nonlinear chaotic systems is characterized in terms of minimizing the attenuation level subject to some linear matrix inequalities (LMIs), which is also called eigenvalue problem (EVP), through the scanning of a positive parameter. Finally, the proposed control scheme is applied to a chaotic system, namely Chua's circuit, to illustrate the robust performance of the proposed linear controller and linear observer.

scholarly journals A probabilistic robust mixed H2/H∞ fuzzy control method for hypersonic vehicles based on reliability theory

2018 ◽  
Vol 15 (1) ◽  
pp. 172988141775415 ◽  
Author(s):  
Xiaomeng Yin ◽  
Xinming Li ◽  
Lei Liu ◽  
Yongji Wang ◽  
Xing Wei
Keyword(s):  
Fuzzy Control ◽  
Flight Control ◽  
Control Method ◽  
Fuzzy Controller ◽  
Fuzzy Model ◽  
Control Design ◽  
Hypersonic Vehicle ◽  
Linear Matrix ◽  
Hypersonic Vehicles ◽  
Robust Fuzzy Controller

Achieving balance between robustness and performance is always a challenge in the hypersonic vehicle flight control design. In this research, we focus on dealing with uncertainties of the fuzzy control system from the viewpoint of reliability. A probabilistic robust mixed H2/ H∞ fuzzy control method for hypersonic vehicles is presented by describing the uncertain parameters as random variables. First, a Takagi–Sugeno fuzzy model is employed for the hypersonic vehicle nonlinear dynamics characteristics. Next, a robust fuzzy controller is developed by solving a reliability-based multi-objective linear matrix inequality optimization problem, in which the H2/ H∞ performance is optimized under the condition that the system is robustly reliable to uncertainties. By this method, the system performance and reliability can be taken into account simultaneously, which reduces the conservatism in the robust fuzzy control design. Finally, simulation results of a hypersonic vehicle demonstrate the feasibility and effectiveness of the presented method.

Adaptive Fuzzy Synchronization Design and Parameter Identification for Chaotic Systems

2014 ◽  
Vol 644-650 ◽  
pp. 2514-2521
Author(s):  
Juan Meng ◽  
Hai Du ◽  
Xing Yuan Wang
Keyword(s):  
Theoretical Analysis ◽  
Lyapunov Stability ◽  
Chaotic Systems ◽  
Fuzzy Controller ◽  
Fuzzy Model ◽  
Lyapunov Stability Theory ◽  
Unknown Parameters ◽  
Adaptive Fuzzy Controller ◽  
Adaptive Fuzzy ◽  
Takagi Sugeno

In this paper, a new fuzzy model-based adaptive approach for synchronization of chaotic systems with unknown parameters. Theoretical analysis based on Lyapunov stability theory is provided to verify its feasibility. Takagi-Sugeno (T-S) fuzzy model is employed to express the chaotic systems. Based on this model, an adaptive fuzzy controller and the parameters update law are developed. With the proposed scheme, parameters identification and synchronization of identical or nonidentical chaotic systems can be achieved simultaneously. Numerical simulations further demonstrate the effectiveness of the proposed scheme.

scholarly journals Nonsingular Integral-Type Dynamic Finite-Time Synchronization for Hyper-Chaotic Systems

Mathematics ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 115
Author(s):  
Khalid A. Alattas ◽  
Javad Mostafaee ◽  
Aceng Sambas ◽  
Abdullah K. Alanazi ◽  
Saleh Mobayen ◽  
...  
Keyword(s):  
Sliding Mode Control ◽  
Chaotic System ◽  
Chaotic Systems ◽  
Time Synchronization ◽  
Control Method ◽  
Sliding Mode ◽  
Control Procedure ◽  
Integral Type ◽  
Mode Control ◽  
Control Scheme

In this study, the synchronization problem of chaotic systems using integral-type sliding mode control for a category of hyper-chaotic systems is considered. The proposed control method can be used for an extensive range of identical/non-identical master-slave structures. Then, an integral-type dynamic sliding mode control scheme is planned to synchronize the hyper-chaotic systems. Using the Lyapunov stability theorem, the recommended control procedure guarantees that the master-slave hyper-chaotic systems are synchronized in the existence of uncertainty as quickly as possible. Next, in order to prove the new proposed controller, the master-slave synchronization goal is addressed by using a new six-dimensional hyper-chaotic system. It is exposed that the synchronization errors are completely compensated for by the new control scheme which has a better response compared to a similar controller. The analog electronic circuit of the new hyper-chaotic system using MultiSIM is provided. Finally, all simulation results are provided using MATLAB/Simulink software to confirm the success of the planned control method.

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