A novel track control for Lorenz system with single state feedback

2019 ◽  
Vol 122 ◽  
pp. 236-244 ◽  
Author(s):  
Richie Gao
Keyword(s):  
State Feedback ◽  
Lorenz System ◽  
Single State

scholarly journals The Design and Its Application in Secure Communication and Image Encryption of a New Lorenz-Like System with Varying Parameter

2016 ◽  
Vol 2016 ◽  
pp. 1-11 ◽  
Author(s):  
Lilian Huang ◽  
Donghai Shi ◽  
Jie Gao
Keyword(s):  
Numerical Simulation ◽  
Secure Communication ◽  
State Feedback ◽  
Complex Dynamic ◽  
State Variable ◽  
Encryption And Decryption ◽  
Single State ◽  
Chaotic Parameter ◽  
Synchronization Scheme ◽  
New System

A new Lorenz-like chaotic system with varying parameter is proposed by adding a state feedback function. The structure of the new designed system is simple and has more complex dynamic behaviors. The chaos behavior of the new system is studied by theoretical analysis and numerical simulation. And the bifurcation diagram shows a chaos-cycle-chaos evolution when the new parameter changes. Then a new synchronization scheme by a single state variable drive is given based on the new system and a chaotic parameter modulation digital secure communication system is also constructed. The results of simulation demonstrate that the new proposed system could be well applied in secure communication. Otherwise, based on the new system, the encryption and decryption of image could be achieved also.

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 Model Predictive Control of Linear Systems over Networks with State and Input Quantizations

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Xiao-Ming Tang ◽  
Hong-Chun Qu ◽  
Hao-Fei Xie ◽  
Ping Wang
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
State Feedback ◽  
Networked Control Systems ◽  
Infinite Horizon ◽  
Single State ◽  
Infinite Horizon Control ◽  
Control Of Linear Systems ◽  
The Stability ◽  
Input And State Constraints

Although there have been a lot of works about the synthesis and analysis of networked control systems (NCSs) with data quantization, most of the results are developed for the case of considering the quantizer only existing in one of the transmission links (either from the sensor to the controller link or from the controller to the actuator link). This paper investigates the synthesis approaches of model predictive control (MPC) for NCS subject to data quantizations in both links. Firstly, a novel model to describe the state and input quantizations of the NCS is addressed by extending the sector bound approach. Further, from the new model, two synthesis approaches of MPC are developed: one parameterizes the infinite horizon control moves into a single state feedback law and the other into a free control move followed by the single state feedback law. Finally, the stability results that explicitly consider the satisfaction of input and state constraints are presented. A numerical example is given to illustrate the effectiveness of the proposed MPC.

scholarly journals Dynamic Mathematical Models’ System and Synchronization

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Malik Bader Alazzam ◽  
Abdulsattar Abdullah Hamad ◽  
Ahmed S AlGhamdi
Keyword(s):  
Chronic Disease ◽  
Risk Behaviors ◽  
State Feedback ◽  
Lorenz System ◽  
Dynamic Modelling ◽  
Delivery Systems ◽  
Prevention System ◽  
Health Related ◽  
Hybrid Synchronization ◽  
The Lorenz System

We created the equilibrium, which includes sickness outcomes, health and risk behaviors, environmental factors, and health-related assets and delivery systems, and it should be incorporated in system Dyc (dynamic) modelling of chronic disease prevention. System Dyc has the ability to model a variety of interconnected illnesses and dangers, as well as the interaction between delivery systems and afflicted people, as well as state and national policies. This paper proposes a unique idea. Hybrid synchronization utilizes four positive LYP (Lyapunov) exponents based on state feedback management with two identical systems of the Lorenz system 6D HYCH system.

SINGLE STATE-FEEDBACK CHAOTIFICATION OF DISCRETE DYNAMICAL SYSTEMS

2004 ◽  
Vol 14 (01) ◽  
pp. 279-284 ◽  
Author(s):  
YONGAI ZHENG ◽  
GUANRONG CHEN
Keyword(s):  
Control System ◽  
Dynamical Systems ◽  
Feedback Control ◽  
Nonlinear System ◽  
State Feedback ◽  
Discrete Dynamical Systems ◽  
State Feedback Control ◽  
Sine Function ◽  
System State ◽  
Single State

In this paper, the problem of making a nonlinear system chaotic by using state-feedback control is studied, where the feedback controller uses a simple sine function of the system state with only one single component in each dimension. It is proved that the designed control system generates chaos in the sense of Li and Yorke.

Synchronization of a Class of Chaotic and Hyperchaotic Systems via a Simple Universal Control Method

2012 ◽  
Vol 184-185 ◽  
pp. 798-801
Author(s):  
Zhi Liu ◽  
Ming Ju Hao
Keyword(s):  
Chaos Synchronization ◽  
State Feedback ◽  
Chaotic Systems ◽  
Control Method ◽  
Dynamical Behavior ◽  
Three Dimensional ◽  
Universal Method ◽  
Error System ◽  
Single State ◽  
Hyperchaotic Systems

This paper investigates the synchronization of chaotic and hyperchaotic systems, and proposes a simple and universal method for chaos synchronization through investigating the dynamical behavior of the chaotic error system. In comparison with previous methods, the present controllers are simpler than the existing results. Especially, for some class of three dimensional chaotic systems, the obtained controllers in this paper contain single state feedback. Numerical simulations verify the effectiveness and correctness of the proposed method.

PRACTICAL SYNCHRONIZATION OF NONAUTONOMOUS SYSTEMS WITH UNCERTAIN PARAMETER MISMATCH VIA A SINGLE STATE FEEDBACK CONTROL

2012 ◽  
Vol 23 (11) ◽  
pp. 1250073 ◽  
Author(s):  
MIHUA MA ◽  
JIN ZHOU ◽  
JIANPING CAI
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
State Feedback Control ◽  
Uncertain Parameter ◽  
Van Der Pol Oscillator ◽  
Control Technique ◽  
Parameter Mismatch ◽  
Nonautonomous Systems ◽  
Approximate Differentiation ◽  
Single State

Robust practical synchronization of general second-order nonautonomous systems with uncertain parameter mismatch is investigated by using a single state feedback control. Some simple general algebraic criteria are derived based on practical stability theory of nonautonomous dynamical system. A distinctive feature of this work is that the parameter mismatch not only exists in system parameters, but also in the external excitation ones. More reasonably, the values of parameter mismatch can be uncertain. Besides, a single state feedback control including an approximate differentiation filter only needs to know information about one state, which provides an advantage over the use of full-state model-based observers. It is shown that the approaches developed here further extend the ideas and techniques presented in recent literature. As a direct application of the new theoretical results, the obtained results are applied to a typical horizontal platform system and the representative forced Duffing–Van der Pol oscillator. Subsequently, numerical simulations demonstrate the effectiveness of the criteria and the robustness of the control technique.

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