Finite-Time Chaos Control of Lorenz Chaotic System Based on the Passive Control Teachnique

2013 ◽  
Vol 397-400 ◽  
pp. 1345-1350
Author(s):  
Feng Liu
Keyword(s):  
Chaotic System ◽  
Finite Time ◽  
Chaos Control ◽  
Passive Control ◽  
Control Method ◽  
Control Technique ◽  
Time Stability ◽  
Finite Time Stability ◽  
Lorenz Chaotic System ◽  
Robust To Noise

Finite-time chaos control of Lorenz chaotic system applying the passive control method is investigated in this paper. Based on the finite-time stability theory and the passive control technique, the passive controller are proposed to realize finite-time chaos control of Lorenz chaotic system. The controller is robust to noise. Both theoretical and numerical simulations show the effectiveness of the proposed method.

Finite-Time Chaos Synchronization of Lorenz Chaotic System Based on the Passive Control Teachnique

2013 ◽  
Vol 385-386 ◽  
pp. 945-950 ◽  
Author(s):  
Yi Feng Wei
Keyword(s):  
Chaotic System ◽  
Finite Time ◽  
Chaos Synchronization ◽  
Passive Control ◽  
Control Method ◽  
Control Technique ◽  
Time Stability ◽  
Finite Time Stability ◽  
Lorenz Chaotic System ◽  
Robust To Noise

Finite-time chaos synchronization of Lorenz chaotic system applying the passive control method is investigated in this paper. Based on the finite-time stability theory and the passive control technique, the passive controller are proposed to realize finite-time chaos synchronization of Lorenz chaotic system. The controller is simple and robust to noise. Both theoretical and numerical simulations show the effectiveness of the proposed method.

scholarly journals Finite Time Stability of Finance Systems with or without Market Confidence Using Less Control Input

2018 ◽  
Vol 2018 ◽  
pp. 1-15 ◽  
Author(s):  
Chao Ma ◽  
Yujuan Tian ◽  
Zhongfeng Qu
Keyword(s):  
Finite Time ◽  
Chaotic Systems ◽  
Control Method ◽  
Control Input ◽  
Three Dimension ◽  
Time Stability ◽  
Finance System ◽  
Finite Time Stability ◽  
Single Controller ◽  
Simulation Results

In this paper, we make an exploration of a technique to control a class of finance chaotic systems. This technique allows one to achieve the finite time stability of the finance system more effectively with less control input energy. First, the finite time stability of three dimension finance system without market confidence is analyzed by using a single controller. Then, two controllers are designed to stabilize the four-dimension finance system with market confidence. Moreover, the finite time stability of the three-dimension and four-dimension finance system with unknown parameter is also studied. Finally, simulation results are presented to show the chaotic behaviour of the finance systems, verify the effectiveness of the proposed control method, and illustrate its advantages compared with other methods.

Partial Finite-Time Stabilization of Perturbed Nonlinear Systems Based on the Novel Concept of Nonsingular Terminal Sliding Mode Method

2019 ◽  
Vol 15 (2) ◽  
Author(s):  
Hamid Razmjooei ◽  
Mohammad Hossein Shafiei
Keyword(s):  
Finite Time ◽  
Control Method ◽  
Sliding Mode ◽  
Nonlinear Dynamical System ◽  
The Novel ◽  
Time Stability ◽  
Terminal Sliding Mode ◽  
Finite Time Stability ◽  
Nonsingular Terminal Sliding Mode ◽  
Novel Concept

Abstract In this article, a new technique to design a robust controller to achieve finite-time partial stabilization for a class of nonlinear perturbed systems is proposed. Indeed the system is partially stabilized in a finite time, based on the novel concept of the nonsingular terminal sliding mode (TSM) control method. In the first step, the nonlinear dynamical system is divided into two subsystems based on their required stability properties of the system's states (where finite-time stability is only desired for the first subsystem). Then, using a partial diffeomorphism map to transform the first subsystem into the normal form, the control law is designed. Indeed, by introducing this new concept of the TSM method, robust finite-time stability of only a part of the system's state is guaranteed. Subsequently, simulation results demonstrate the effectiveness of the proposed method, and the results are compared with the existing methods.

Adaptive Projective Synchronization of the New Three-Dimensional Chaotic System

2013 ◽  
Vol 321-324 ◽  
pp. 921-924 ◽  
Author(s):  
Su Hai Huang
Keyword(s):  
Chaotic System ◽  
Finite Time ◽  
Chaos Synchronization ◽  
Three Dimensional ◽  
Projective Synchronization ◽  
Time Stability ◽  
Finite Time Stability ◽  
Adaptive Technique ◽  
New Chaotic System ◽  
Synchronization Scheme

This paper deals with the finite-time chaos synchronization of the new chaotic system [with uncertain parameters. Based on the finite-time stability theory and adaptive technique, a controller has been designed to realize finite-time chaos projective synchronization and parameter identification. Moreover, numerical simulation result is included to demonstrate the effectiveness and feasibility of the proposed synchronization scheme.

scholarly journals Finite-Time Synchronization for Uncertain Master-Slave Chaotic System via Adaptive Super Twisting Algorithm

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
P. Siricharuanun ◽  
C. Pukdeboon
Keyword(s):  
Sliding Mode Control ◽  
Chaotic System ◽  
Finite Time ◽  
Control Method ◽  
Sliding Mode ◽  
Second Order ◽  
Control Technique ◽  
Mode Control ◽  
Twisting Algorithm ◽  
Second Order Sliding Mode

A second-order sliding mode control for chaotic synchronization with bounded disturbance is studied. A robust finite-time controller is designed based on super twisting algorithm which is a popular second-order sliding mode control technique. The proposed controller is designed by combining an adaptive law with super twisting algorithm. New results based on adaptive super twisting control for the synchronization of identical Qi three-dimensional four-wing chaotic system are presented. The finite-time convergence of synchronization is ensured by using Lyapunov stability theory. The simulations results show the usefulness of the developed control method.

scholarly journals Chaos Control and Anticontrol of the Output Duopoly Competing Evolution Model

2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
Zhaoqing Li ◽  
Yongping Zhang ◽  
Tongqian Zhang
Keyword(s):  
Social Development ◽  
Chaotic System ◽  
Chaos Control ◽  
Passive Control ◽  
Control Method ◽  
Evolution Model ◽  
Control Methods ◽  
Passive System ◽  
Optimal Function

In the process of social development, there are a lot of competitions and confrontations. Participants in these competitions and confrontations always have different interests and goals. In order to achieve their goals, the participants must consider the opponent’s strategy to adjust their own strategies to achieve the interests of the optimization. This is called game. Based on the definition and its stability of the passive system, the passive control items are designed to the output of the duopoly competition evolution model, and the efficacy of the control methods is shown by the Lyapunov indexes. Then, the optimal function control method is taken to carry on the chaotic anticontrol to the chaotic system, and the Lyapunov indexes illustrate the control result. At last, the chaotic game of the system is introduced by combining the chaos control and anticontrol.

scholarly journals Stabilization with Prescribed Instant for High-Order Integrator Systems

2021 ◽  
Author(s):  
Jiyuan Kuang ◽  
Jianxing Liu ◽  
Yabin Gao ◽  
Chih-Chiang Chen ◽  
Xiaoju Zhang ◽  
...  
Keyword(s):  
Finite Time ◽  
Control Method ◽  
Fixed Time ◽  
Time Instant ◽  
Convergence Time ◽  
Human Beings ◽  
Time Stability ◽  
Finite Time Stability ◽  
System States ◽  
The Impact

<p>This paper is a research related to finite-time stability. Different from traditional fixed-time, predefined-time, and prescribed time stability that more or less have some conservativeness, we manage to stabilize system states onto the equilibrium at an arbitrarily selected time instant irrespective of initial system states and parameters. In another word, the conservativeness of convergence time in our proposed control method is proved to be zero. Moreover, the control is bounded and also gradually goes to zero at the selected instant. It is obviously an improvement compared with the existing finite-time stabilization (FNTS), such as fixed-time stabilization (FTS), predefined-time stabilization (PDTS), and prescribed-time stabilization (PSTS).</p><p>The FNTS property is of great interest for scenarios where real-time constraints need to be satisfied, e.g., in missile guidance, the impact time control guidance laws require stabilization in a desired time. Our proposed PSIS can deal with the FNTS problems.</p><p> </p><p>For other tasks with more accurate requirement on time, the FTS, the PDTS, and the PSTS are insufficient. For instant, two robot arms playing the piano. Music has its’ rhythm, each note is expected to appear at a specific time instant, or the music will sounds terrible. There are many other tasks that are easy for human beings but difficult for robots, e.g.. dancing and sports. The author think it is because human have rhythm feeling, while robots have not. Hence, it is important to develop such control methodologies.<br></p><p></p>

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