A parametric approach to design state feedback stabilizer for switched unified chaotic systems

2019 ◽  
Author(s):  
Da-Wei Zhang ◽  
Da-Ke Gu
Keyword(s):  
State Feedback ◽  
Chaotic Systems ◽  
Parametric Approach ◽  
Unified Chaotic Systems

Single state feedback stabilization of unified chaotic systems and circuit implementation

Open Physics ◽  
2014 ◽  
Vol 13 (1) ◽  
Author(s):  
Chun-Guo Jing ◽  
Ping He ◽  
Tao Fan ◽  
Yangmin Li ◽  
Changzhong Chen ◽  
...  
Keyword(s):  
Chaotic System ◽  
State Feedback ◽  
Chaotic Systems ◽  
Feedback Stabilization ◽  
State Feedback Control ◽  
Uncertain Parameter ◽  
Circuit Implementation ◽  
Unified Chaotic System ◽  
Unified Chaotic Systems ◽  
Single State

AbstractThis paper focuses on the single state feedback stabilization problem of unified chaotic system and circuit implementation. Some stabilization conditions will be derived via the single state feedback control scheme. The robust performance of controlled unified chaotic systems with uncertain parameter will be investigated based on maximum and minimum analysis of uncertain parameter, the robust controller which only requires information of a state of the system is proposed and the controller is linear. Both the unified chaotic system and the designed controller are synthesized and implemented by an analog electronic circuit which is simpler because only three variable resistors are required to be adjusted. The numerical simulation and control in MATLAB/Simulink is then provided to show the effectiveness and feasibility of the proposed method which is robust against some uncertainties. The results presented in this paper improve and generalize the corresponding results of recent works.

scholarly journals A NONLINEAR STATE FEEDBACK APPROACH TO THE CONTROL AND SYNCHRONIZATION OF CONTINUOUS-TIME CHAOTIC SYSTEMS

1999 ◽  
Vol 48 (9) ◽  
pp. 1618
Author(s):  
GAO JIN-FENG ◽  
LUO XIAN-JUE ◽  
MA XI-KUI ◽  
PAN XIU-QIN ◽  
WANG JUN-KUN
Keyword(s):  
Continuous Time ◽  
State Feedback ◽  
Chaotic Systems ◽  
Control And Synchronization ◽  
Nonlinear State

Robust Control for Uncertain Unified Chaotic Systems with Input Nonlinearity via Improved Sliding Mode Technique

2011 ◽  
Vol 474-476 ◽  
pp. 2100-2105
Author(s):  
Xiao Jing Wu ◽  
Xue Li Wu
Keyword(s):  
Robust Control ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Lyapunov Theory ◽  
Chen System ◽  
Input Nonlinearity ◽  
Adaptive Parameter ◽  
Unified Chaotic Systems ◽  
Mode Technique ◽  
Sliding Mode Technique

This paper investigates the robust control problem of the uncertain unified chaotic systems subject to sector input nonlinearity. First, the adaptive parameter is introduced for designing sliding surface such that the parameters of the unified chaotic system are not necessary to know. Then, based on Lyapunov theory, the controller is designed via sliding mode technique, which cancels the assumption that the information on the bound of input nonlinearity should be known for designer in advance. Finally, the sliding mode controller is applied to ensure that different uncertain chaotic systems (Lorenz system, Lü system and Chen system) states can be regulated to zero levels asymptotically in the presence of sector input nonlinearity. The simulation results demonstrated the effectiveness of the proposed controller.

scholarly journals Designing lag synchronization schemes for unified chaotic systems

2011 ◽  
Vol 61 (8) ◽  
pp. 2123-2128 ◽  
Author(s):  
Jianwen Feng ◽  
Anding Dai ◽  
Chen Xu ◽  
Jingyi Wang
Keyword(s):  
Chaotic Systems ◽  
Lag Synchronization ◽  
Unified Chaotic Systems
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