scholarly journals Finite-Time Stability Control of Permanent Magnet Synchronous Motor Chaotic System Based on Lyapunov Function Method

2018 ◽  
Author(s):  
Shuilong Zou ◽  
Wenjie Zhang
Keyword(s):  
Lyapunov Function ◽  
Permanent Magnet ◽  
Chaotic System ◽  
Finite Time ◽  
Function Method ◽  
Permanent Magnet Synchronous Motor ◽  
Stability Control ◽  
Time Stability ◽  
Finite Time Stability ◽  
Lyapunov Function Method

FINITE-TIME SYNCHRONIZATION OF DYNAMICAL NETWORKS COUPLED WITH COMPLEX-VARIABLE CHAOTIC SYSTEMS

2013 ◽  
Vol 24 (09) ◽  
pp. 1350058 ◽  
Author(s):  
ZHAOYAN WU ◽  
QINGLING YE ◽  
DANFENG LIU
Keyword(s):  
Complex Variable ◽  
Finite Time ◽  
Function Method ◽  
Chaotic Systems ◽  
Time Synchronization ◽  
Sufficient Conditions ◽  
Time Stability ◽  
Dynamical Networks ◽  
Finite Time Stability ◽  
Lyapunov Function Method

In this paper, finite-time synchronization of dynamical networks coupled with complex-variable chaotic systems is investigated. According to Lyapunov function method and finite-time stability theory, both the dynamical networks without and with coupling delay are considered through designing proper finite-time controllers. Several sufficient conditions for finite-time synchronization are derived and verified to be effective by some numerical examples.

scholarly journals Finite-Time Chaos Control of a Complex Permanent Magnet Synchronous Motor System

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Xiaobing Zhou ◽  
Murong Jiang ◽  
Xiaomei Cai
Keyword(s):  
Permanent Magnet ◽  
Finite Time ◽  
Motor System ◽  
Chaos Control ◽  
Control Strategies ◽  
Permanent Magnet Synchronous Motor ◽  
Synchronous Motor ◽  
Complex Variables ◽  
Time Stability ◽  
Finite Time Stability

This paper investigates the finite-time chaos control of a permanent magnet synchronous motor system with complex variables. Based on the finite-time stability theory, two control strategies are proposed to realize stabilization of the complex permanent magnet synchronous motor system in a finite time. Two numerical simulations have been conducted to demonstrate the validity and feasibility of the theoretical analysis.

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.

Fast Finite-Time Consensus Tracking of Heterogeneous Multi-Agent Systems with a Virtual Leader

2014 ◽  
Vol 687-691 ◽  
pp. 580-586 ◽  
Author(s):  
Qiu Yun Xiao ◽  
Zhi Hai Wu ◽  
Li Peng
Keyword(s):  
Graph Theory ◽  
Lyapunov Function ◽  
Finite Time ◽  
Function Method ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Consensus Tracking ◽  
Lyapunov Function Method ◽  
Multi Agent ◽  
Virtual Leader

This paper proposes a novel finite-time consensus tracking protocol for guaranteeing heterogeneous multi-agent systems with a virtual leader to achieve the fast finite-time consensus tracking. The Lyapunov function method, algebra graph theory, homogeneity with dilation and some other techniques are employed to prove that heterogeneous multi-agent systems with a virtual leader applying the proposed protocol can reach the finite-time consensus tracking. Numerical simulations indicate that compared with traditional finite-time consensus tracking protocols, the proposed protocol can accelerate the convergence speed of the finite-time consensus tracking.

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