An Optimal Consensus Control for Multiple Agents System with Time-Delay and Disturbances

2014 ◽  
Vol 490-491 ◽  
pp. 828-831 ◽  
Author(s):  
Dong Hao Wang ◽  
Jian Yuan ◽  
Juan Xu ◽  
Zhong Hai Zhou
Keyword(s):  
Time Delay ◽  
Transformation Method ◽  
Consensus Control ◽  
Recursive Filtering ◽  
Control Time ◽  
Disturbance Rejection Control ◽  
System States ◽  
Feedback Optimal Control ◽  
Persistent Disturbances ◽  
System With Time Delay

The optimal disturbance rejection control problem is considered for a kind of consensus with control time-delay affected by external persistent disturbances and noise. An transformation method is used to convert the consensus with control time-delay to the consensus system without time-delay. The optimal estimated values of the converted consensus system states are obtained by recursive filtering with Kalman filter. Then the feedforward-feedback optimal control law is deduced by solving the Riccati equations and matrix equations. Lastly, simulations show the result is effectiveness to the consensus system with time-delay with respect to external persistent disturbances and noise.

Adaptive Output Tracking Control for a Class of MIMO Nonlinear Systems with Time-Delay

2014 ◽  
Vol 602-605 ◽  
pp. 1264-1269
Author(s):  
Yong Lei Song ◽  
Hai Yan Zeng
Keyword(s):  
Time Delay ◽  
Tracking Error ◽  
Small Neighborhood ◽  
Lyapunov Stability Theory ◽  
Output Tracking ◽  
Output Tracking Control ◽  
Barbalat Lemma ◽  
System States ◽  
System With Time Delay ◽  
Uniformly Bounded

For a class of multi-input multi-output (MIMO) nonlinear system with time-delay, a problem of adaptive output tracking is investigated. Through applying the back-stepping recursive method, an adaptive output tracking controller is designed to achieve robust control. According to Lyapunov stability theory, Barbalat lemma, and Gronwall inequality, the designed state feedback controller not only guarantees the system states are uniformly bounded, but also ensures the system tracking error converges to a small neighborhood.

Design of Master's Position Controller for Bilateral Control System with Time Delay

2015 ◽  
Vol 135 (3) ◽  
pp. 268-275 ◽  
Author(s):  
Daisuke Yashiro ◽  
Tadashi Hieno ◽  
Kazuhiro Yubai ◽  
Satoshi Komada
Keyword(s):  
Control System ◽  
Time Delay ◽  
Bilateral Control ◽  
Position Controller ◽  
System With Time Delay

scholarly journals A time delay dynamical model for outbreak of 2019-nCoV and the parameter identification

2020 ◽  
Vol 28 (2) ◽  
pp. 243-250 ◽  
Author(s):  
Yu Chen ◽  
Jin Cheng ◽  
Yu Jiang ◽  
Keji Liu
Keyword(s):  
Dynamical System ◽  
Time Delay ◽  
Parameter Identification ◽  
Typical Feature ◽  
The Novel ◽  
Isolation Rate ◽  
High Isolation ◽  
The Government ◽  
System With Time Delay ◽  
Official Data

AbstractIn this paper, we propose a novel dynamical system with time delay to describe the outbreak of 2019-nCoV in China. One typical feature of this epidemic is that it can spread in the latent period, which can therefore be described by time delay process in the differential equations. The accumulated numbers of classified populations are employed as variables, which is consistent with the official data and facilitates the parameter identification. The numerical methods for the prediction of the outbreak of 2019-nCoV and parameter identification are provided, and the numerical results show that the novel dynamic system can well predict the outbreak trend so far. Based on the numerical simulations, we suggest that the transmission of individuals should be greatly controlled with high isolation rate by the government.

scholarly journals Nonlinear vibrations and time delay control of an extensible slowly rotating beam

2020 ◽  
Author(s):  
Jerzy Warminski ◽  
Lukasz Kloda ◽  
Jaroslaw Latalski ◽  
Andrzej Mitura ◽  
Marcin Kowalczuk
Keyword(s):  
Time Delay ◽  
Control Strategies ◽  
Vibration Reduction ◽  
Least Action ◽  
Active Elements ◽  
Principle Of Least Action ◽  
Second Mode ◽  
Delay Control ◽  
Speed Range ◽  
System With Time Delay

AbstractNonlinear dynamics of a rotating flexible slender beam with embedded active elements is studied in the paper. Mathematical model of the structure considers possible moderate oscillations thus the motion is governed by the extended Euler–Bernoulli model that incorporates a nonlinear curvature and coupled transversal–longitudinal deformations. The Hamilton’s principle of least action is applied to derive a system of nonlinear coupled partial differential equations (PDEs) of motion. The embedded active elements are used to control or reduce beam oscillations for various dynamical conditions and rotational speed range. The control inputs generated by active elements are represented in boundary conditions as non-homogenous terms. Classical linear proportional (P) control and nonlinear cubic (C) control as well as mixed ($$P-C$$ P - C ) control strategies with time delay are analyzed for vibration reduction. Dynamics of the complete system with time delay is determined analytically solving directly the PDEs by the multiple timescale method. Natural and forced vibrations around the first and the second mode resonances demonstrating hardening and softening phenomena are studied. An impact of time delay linear and nonlinear control methods on vibration reduction for different angular speeds is presented.

Sign in / Sign up

Export Citation Format

Share Document