scholarly journals Event-triggered Synchronization of Uncertain Delayed Generalized RDNNs

2021 ◽  
Author(s):  
Weiyuan Zhang ◽  
Junmin Li ◽  
Keyi Xing ◽  
Rui Zhang ◽  
Xinyu Zhang
Keyword(s):  
Reaction Diffusion ◽  
Delay System ◽  
Control Synthesis ◽  
Linear Matrix ◽  
Control Scheme ◽  
Halanay’S Inequality ◽  
Network Transmission ◽  
Inequality Techniques ◽  
And Control ◽  
Event Triggered

Abstract This paper investigates the exponential synchronization analysis of master–slave chaotic uncertain delayed generalized reaction-diffusion neural networks (GRDNNs) with event-triggered control scheme. A delay GRDNNs system model for the analysis is constructed by investigating the effect of the network transmission delay. By constructing a novel Lyapunov–Krasovskii functional and using a delay system approach for designing event-triggered controllers and some inequality techniques like Jensen’s inequality, Wirtinger’s inequality and Halanay’s inequality, the criteria are obtained for the event-triggered synchronization analysis and control synthesis of delayed GRDNNs. The synchronization criteria are formulated in terms of linear matrix inequalities. Finally, we conclude that the slave systems synchronize with the master systems. Two examples show the proposed theoretical results are feasible and effective.

scholarly journals Event-Triggered Reliable Control in Networked Control Systems with Probabilistic Actuator Faults

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Yuming Zhai ◽  
Ruixia Yan ◽  
Haifeng Liu ◽  
Jinliang Liu
Keyword(s):  
Control Systems ◽  
Networked Control Systems ◽  
Functional Method ◽  
Networked Control ◽  
Linear Matrix ◽  
Actuator Fault ◽  
Mean Square Stability ◽  
Network Transmission ◽  
Exponential Mean Square Stability ◽  
Event Triggered

This paper introduces a novel event-triggered scheme into networked control systems which is used to determine when to transmit the newly sampled state information to the controller. Considering the effect of the network transmission delay and probabilistic actuator fault with different failure rates, a new actuator fault model is proposed under this event-triggered scheme. Then, criteria for the exponential mean square stability (EMSS) and criteria for codesigning both the feedback and the trigger parameters are derived by using Lyapunov functional method. These criteria are obtained in the form of linear matrix inequalities. A simulation example is employed to show that our event-triggered scheme can lead to a larger release period than some existing ones.

scholarly journals Adaptive Pinning Synchronization of Fractional Complex Networks with Impulses and Reaction–Diffusion Terms

Mathematics ◽  
2019 ◽  
Vol 7 (5) ◽  
pp. 405 ◽  
Author(s):  
Xudong Hai ◽  
Guojian Ren ◽  
Yongguang Yu ◽  
Conghui Xu
Keyword(s):  
Complex Networks ◽  
Lyapunov Method ◽  
Reaction Diffusion ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Communication Topology ◽  
General Network ◽  
Inequality Techniques ◽  
Adaptive Control Strategy ◽  
Pinning Scheme

In this paper, a class of fractional complex networks with impulses and reaction–diffusion terms is introduced and studied. Meanwhile, a class of more general network structures is considered, which consists of an instant communication topology and a delayed communication topology. Based on the Lyapunov method and linear matrix inequality techniques, some sufficient criteria are obtained, ensuring adaptive pinning synchronization of the network under a designed adaptive control strategy. In addition, a pinning scheme is proposed, which shows that the nodes with delayed communication are good candidates for applying controllers. Finally, a numerical example is given to verify the validity of the main results.

Online Switching Control of LFT Parameter-Dependent Systems

2009 ◽  
Vol 131 (2) ◽  
Author(s):  
Ke Dong ◽  
Fen Wu
Keyword(s):  
Switching Control ◽  
Control Synthesis ◽  
Linear Matrix ◽  
Multiple Lyapunov Functions ◽  
Control Approach ◽  
Control Scheme ◽  
Gain Scheduling Control ◽  
Gain Scheduled Controller ◽  
Parameter Dependent ◽  
Gain Scheduled

To improve controlled performance and expand gain-scheduling control capability, we propose a switching control approach of linear fractional transformation parameter-dependent systems using multiple Lyapunov functions combined with online control techniques. At each switching instant, a gain-scheduled controller working for the next switching interval will be designed online. The switching control synthesis condition is formulated as linear matrix inequalities and can be solved efficiently, upon which the controller will be constructed. The online switching control scheme is demonstrated using an uninhabited combat aerospace vehicle problem.

Synchronization control design for uncertain coronary artery time-delay system with input saturation

2019 ◽  
Vol 12 (03) ◽  
pp. 1950026 ◽  
Author(s):  
Zhanshan Zhao ◽  
Fei Lv ◽  
Jing Zhang ◽  
Liankun Sun
Keyword(s):  
Coronary Artery ◽  
Input Saturation ◽  
Delay System ◽  
Synchronization Control ◽  
Jensen Inequality ◽  
Linear Matrix ◽  
Time Delay System ◽  
Control Scheme ◽  
Local Sector ◽  
Delay Partitioning

A synchronization control scheme is proposed for uncertain coronary artery system (CAS) with input saturation. In order to deal with the input saturation, linear matrix inequalities (LMIS), adequate conditions are obtained based on the local sector condition. Furthermore, by constructing Lyapunov–Krasovskii functional (LKF), we design a state feedback controller to achieve synchronization for chaos system with input saturation. Moreover, the improved Jensen inequality, convex analysis, delay-partitioning approach and Moon et al.’s inequality are utilized to get the less conservative. Finally, the simulation result is given to explain the effectiveness of the proposed synchronization control scheme.

scholarly journals Passivity Analysis of Markov Jumping Delayed Reaction-Diffusion Neural Networks under Different Boundary Conditions

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Ziwei Li ◽  
Xuelian Wang ◽  
Qingkai Kong ◽  
Jing Wang
Keyword(s):  
Neural Networks ◽  
Boundary Conditions ◽  
Neumann Boundary ◽  
Reaction Diffusion ◽  
Linear Matrix ◽  
Delayed Reaction ◽  
Integral Term ◽  
Inequality Techniques ◽  
Delay Dependent ◽  
Delay Dependent Stability

This work analyzes the passivity for a set of Markov jumping reaction-diffusion neural networks limited by time-varying delays under Dirichlet and Neumann boundary conditions, respectively, in which Markov jumping is used to describe the variations among system parameters. To overcome some difficulties originated from partial differential terms, the Lyapunov–Krasovskii functional that introduces a new integral term is proposed and some inequality techniques are also adopted to obtain the delay-dependent stability conditions in terms of linear matrix inequalities, which ensures that the designed neural networks satisfy the specified performance of passivity. Finally, the advantages and effectiveness of the obtained results are verified via displaying two illustrated examples.

scholarly journals Event-Triggered Formation Tracking Control for Unmanned Aerial Vehicles Subjected to Deception Attacks

Electronics ◽  
2021 ◽  
Vol 10 (22) ◽  
pp. 2736
Author(s):  
Biao Sun ◽  
Zhou Gu ◽  
Tianyi Xiong
Keyword(s):  
Tracking Control ◽  
Formation Control ◽  
Lyapunov Stability Theory ◽  
Linear Matrix ◽  
Attack Model ◽  
Formation Tracking ◽  
Control Scheme ◽  
The Stability ◽  
Multi Uav ◽  
Event Triggered

This study investigates the time-varying formation tracking (TVFT) control problem for multiple unmanned aerial vehicle (multi-UAV) systems under deception attacks by utilizing an event-triggered mechanism (ETM). First, for the sake of alleviating the communication burden, an effective ETM is designed in this paper. Second, to deal with deception attacks in the communication network, a random deception attack model under the designed ETM is constructed. Finally, a novel formation tracking control scheme for multi-UAV systems under deception attack combining the ETM is proposed to achieve the expected TVFT. The stability analysis of the formation control system is given by using the Lyapunov stability theory and linear matrix inequality (LMI) technique. Simulations are conducted to verify the effectiveness of the proposed formation control scheme.

scholarly journals Fuzzy Robust Tracking Control for Uncertain Nonlinear Time-Delay System

2015 ◽  
Vol 10 (6) ◽  
pp. 52 ◽  
Author(s):  
Zhenbin Du ◽  
Tsung Chih Lin ◽  
Tiebiao Zhao
Keyword(s):  
Time Delay ◽  
Tracking Control ◽  
Fuzzy Controller ◽  
Delay System ◽  
Delay Systems ◽  
Linear Matrix ◽  
Robust Tracking ◽  
Time Delay System ◽  
Robust Tracking Control ◽  
Control Scheme

The problem of fuzzy robust tracking control is investigated for uncertain nonlinear time-delay systems. The nonlinear time-delay system is modeled as uzzy Takagi-Sugeno (T-S) system, and fuzzy logic systems are used to eliminate the ncertainties of the system. A sufficient condition for the existence of fuzzy controller s given in terms of linear matrix inequalities (LMIs) and adaptive law. Based on yapunov stability theorem, the fuzzy control scheme guarantees the desired tracking erformance in sense that all the closed-loop signals are uniformly ultimately bounded (UUB). Simulation results of 2-link manipulator demonstrate the effectiveness of the eveloped control scheme.<br /><br />

Distributed adaptive event-triggered iterative learning controller based on a filtering network

2021 ◽  
pp. 014233122110210
Author(s):  
Fengzeng Zhu ◽  
Li Peng
Keyword(s):  
Control Method ◽  
Lyapunov Stability Theory ◽  
Iterative Learning ◽  
Communication Process ◽  
Linear Matrix ◽  
Irrigation Canal ◽  
Centralized Control ◽  
Network Bandwidth ◽  
Inequality Techniques ◽  
Event Triggered

This paper develops a distributed adaptive event-triggered iterative learning controller over a filtering network for a class of tracking control systems. The proposed distributed control method is more robust than centralized control in terms of node failure and transmission constraints. In view of the limited network bandwidth, adaptive event-triggered mechanisms (AETMs) have been considered in the network communication process. The proposed AETM is characterized by introducing the dynamic threshold parameter, which provides benefits in data scheduling. The existence of filters and controllers is analyzed by Lyapunov stability theory and linear matrix inequality techniques, and their parameters are finally obtained. Moreover, some simulation results on a numerical example and a irrigation canal are presented to show the applicability of the obtained results.

Stochastic Finite-Time Stabilization for a Class of Nonlinear Markovian Jump Stochastic Systems With Impulsive Effects

2015 ◽  
Vol 137 (4) ◽  
Author(s):  
Wu-Hua Chen ◽  
Chenghai Wei ◽  
Xiaomei Lu
Keyword(s):  
Finite Time ◽  
Stochastic Systems ◽  
Impulsive Effects ◽  
Control Synthesis ◽  
Linear Matrix ◽  
Markovian Jump ◽  
Feedback Controllers ◽  
Finite Time Stability ◽  
And Control ◽  
Stochastic Lyapunov Function

This paper is dedicated to the study of stochastic finite-time stability (SFTS) and control synthesis for a class of nonlinear Markovian jump stochastic systems with impulsive effects. By introducing a time-varying stochastic Lyapunov function with discontinuities at impulse times, an improved criterion for SFTS is derived in terms of linear matrix inequalities (LMIs). Based on the new SFTS criterion, four kinds of finite-time hybrid/continuous-time state feedback controllers are constructed by using the solutions to certain sets of LMIs. The effectiveness of the proposed method is validated through one numerical example.

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