A Stability Control Method of Fractional Complex Lorenz System with Time-Delay

2015 ◽  
Author(s):  
Jimin Yu ◽  
Weihong Wu ◽  
Chen Wang ◽  
Rong Luo ◽  
Huai Wen
Keyword(s):  
Time Delay ◽  
Lorenz System ◽  
Control Method ◽  
Stability Control ◽  
System With Time Delay ◽  
Complex Lorenz System

The characteristics and self-time-delay synchronization of two-time-delay complex Lorenz system

2019 ◽  
Vol 356 (1) ◽  
pp. 334-350 ◽  
Author(s):  
Baojiang Sun ◽  
Min Li ◽  
Fangfang Zhang ◽  
Hui Wang ◽  
Jian Liu
Keyword(s):  
Time Delay ◽  
Lorenz System ◽  
Complex Lorenz System

scholarly journals Development of Temperature Process Control Method Using Smith Predictor

2019 ◽  
Vol 111 ◽  
pp. 06016
Author(s):  
Nikolajs Bogdanovs ◽  
Romualds Beļinskis ◽  
Ernests Petersons ◽  
Andris Krūmiņš ◽  
Artūrs Brahmanis
Keyword(s):  
Time Delay ◽  
Control Method ◽  
Distributed Delay ◽  
Heating System ◽  
Smith Predictor ◽  
Hot Water ◽  
Test Bed ◽  
Hot Water Supply ◽  
The Stability ◽  
System With Time Delay

The analysis of a problem of development of control systems for objects with big time delay is carried out in this work. For such objects it is difficult to provide high-quality control, because the control is carried on the last status of object’s output. The main setup methods of PID regulators have been examined. Based on this analysis the technique of complete synthesis of the regulator of higher level is given in order to regulate building’s heating system. This work offers a new method of object’s control with distributed delay. As the test bed for the offered structure of control the valve of hot water supply in a heat-node is used. Using the test bed the stability of the system with time delay have been studied, which is controlled by the PID-regulator assisted by Smith Predictor used to compensate the dead time.

scholarly journals Distance Constrained Based Adaptive Flocking Control for Multiagent Networks with Time Delay

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Qing Zhang ◽  
Ping Li ◽  
Zhengquan Yang ◽  
Zengqiang Chen
Keyword(s):  
Time Delay ◽  
Lyapunov Stability ◽  
Decentralized Control ◽  
Multiagent System ◽  
Control Method ◽  
Lyapunov Stability Theory ◽  
Adaptive Controllers ◽  
Multiagent Networks ◽  
New Type ◽  
System With Time Delay

The flocking control of multiagent system is a new type of decentralized control method, which has aroused great attention. The paper includes a detailed research in terms of distance constrained based adaptive flocking control for multiagent system with time delay. Firstly, the program on the adaptive flocking with time delay of multiagent is proposed. Secondly, a kind of adaptive controllers and updating laws are presented. According to the Lyapunov stability theory, it is proved that the distance between agents can be larger than a constant during the motion evolution. What is more, velocities of each agent come to the same asymptotically. Finally, the analytical results can be verified by a numerical example.

scholarly journals Sliding Mode Control for Multiagent System with Time-Delay and Uncertainties: An LMI Approach

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Pengfei Guo ◽  
Jie Zhang ◽  
Ming Lyu ◽  
Yuming Bo
Keyword(s):  
Time Delay ◽  
Sliding Mode Control ◽  
Control Method ◽  
Sliding Mode ◽  
Linear Matrix ◽  
Sliding Surface ◽  
Simple Method ◽  
Mode Control ◽  
Feedback Control Method ◽  
System With Time Delay

This paper considers the sliding mode control of multiagent systems (MAS) with time-delay and uncertainties in terms of linear matrix inequality (LMI). By constructing virtual feedback control method, the design of control system is simplified for time-delay independent system without uncertainties. For a class of uncertain systems with single time-delay, the essence of SMC design is analyzed in order to acquire a simple method for designing sliding surface. In terms of multiple timedelay system with uncertainties, a sufficient condition for sliding surface with independent time-delay is acquired, while control law is also designed to ensure the robust stability of closed-loop system. Finally, the effectiveness of conclusion is demonstrated by simulation results.

Max-Max Based Internal Model Control Method for Multivariable System with Time Delay

2012 ◽  
Vol 236-237 ◽  
pp. 356-359 ◽  
Author(s):  
Ling Quan ◽  
Hai Long Zhang
Keyword(s):  
Time Delay ◽  
Internal Model ◽  
Control Method ◽  
Controller Design ◽  
Design Method ◽  
Internal Model Control ◽  
Multivariable System ◽  
Model Control ◽  
Internal Model Controller ◽  
System With Time Delay

Multivariable system with time delay and coupling widely exist in industrial which may destroy the normal work of control system. An unconventional internal model controller design method will be introduced in this paper. The closed loop system can be decouple by calculate the inverse of transfer function matrix and the optimal diagonal decomposition matrix. Finally, this method was applied in a multivariable system with different time delays, the simulation results can show the effectiveness of this method.

scholarly journals Stability control of a novel multidimensional fractional-order financial system with time‐delay via impulse control

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Zhe Zhang ◽  
Jing Zhang ◽  
Fan Yong Cheng ◽  
Feng Liu ◽  
Can Ding
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Impulse Control ◽  
Impulsive Control ◽  
Financial System ◽  
Stability Control ◽  
Two Dimensions ◽  
State Variable ◽  
The Stability ◽  
System With Time Delay

AbstractThis paper is concerned about the impulsive control of a class of novel nonlinear fractional-order financial system with time-delay. Considering the variation of every states in the fractional-order financial system in the real world has certain delay for various reasons, thus we add corresponding delay on every state variable. Different from the traditional method of stability judgment, we choose two dimensions of time and space to analyze, which makes the process more accurate. In addition, the sufficient condition of the stability criterion for the fractional-order financial system based on impulsive control is derived. Moreover, the impulsive control can not only make the fractional-order financial system stable in different time delay but also in the different fractional operator. Consequently, the impulsive control has generality, universality and strong applicability. In the end, some numerical simulation examples are provided to verify the effectiveness and the benefit of the proposed method.

scholarly journals Rank One Strange Attractors in Periodically Kicked Lorenz System with Time-Delay

2015 ◽  
Vol 2015 ◽  
pp. 1-14
Author(s):  
Wenjie Yang ◽  
Yiping Lin ◽  
Yunxian Dai
Keyword(s):  
Hopf Bifurcation ◽  
Time Delay ◽  
Strange Attractor ◽  
Lorenz System ◽  
Strange Attractors ◽  
Delayed Systems ◽  
Rank One ◽  
Delayed System ◽  
System With Time Delay ◽  
Chaotic Theory

Rank one strange attractor in periodically kicked Lorenz system with time-delay is investigated. Our discussion is based on the theory of rank one maps formulated by Wang and Young. First, we develop the rank one chaotic theory to delayed systems. It is shown that strange attractors occur when periodically kicked delayed system undergoes a generic Hopf bifurcation. Then we use the theory to the periodically kicked Lorenz system with delay, and derivation of conditions for Hopf bifurcation and rank one chaos along with the results of numerical simulations are presented.

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