scholarly journals Event-TriggeredH∞Filtering for Multiagent Systems with Markovian Switching Topologies

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Jiahao Li ◽  
Tingting Zhang ◽  
Jinfeng Gao ◽  
Ping Wu
Keyword(s):  
Multiagent Systems ◽  
Sufficient Conditions ◽  
Markovian Switching ◽  
Linear Matrix ◽  
Switching Topologies ◽  
Communication Links ◽  
Inequality Technique ◽  
Error System ◽  
Linear Matrix Inequality Technique ◽  
Event Triggered

This paper is concerned with the problem of event-triggeredH∞filtering for multiagent systems with Markovian switching topologies and network-induced delay. An event-triggered mechanism is given to ease the information transmission. Consider that the network topology is directed in this paper, which represents the communication links among agents. Due to the existence of network-induced delay, the time-delay approach is adopted, which can effectively deal with filtering error system. By constructing a Lyapunov-Krasovskii functional and employing linear matrix inequality technique, sufficient conditions are established to ensure the filtering error system to achieve asymptotically stable withH∞performance index. A simulation example is given to illustrate the effectiveness of the proposed method.

Robust H∞ Filtering for Stochastic Networked Control System with Nonlinearities and Missing Measurements

2012 ◽  
Vol 503-504 ◽  
pp. 1458-1462
Author(s):  
Jun Cheng ◽  
Hong Zhu ◽  
Yu Ping Zhang ◽  
Yong Zeng
Keyword(s):  
Control System ◽  
Sufficient Conditions ◽  
Networked Control System ◽  
Networked Control ◽  
Linear Matrix ◽  
Missing Measurements ◽  
Exponentially Stable ◽  
Inequality Technique ◽  
Error System ◽  
Linear Matrix Inequality Technique

This paper investigate the problem of Robust H∞ filtering for stochastic networked control system with nonlinearities and missing measurements. In this paper, missing measurements and nonlinearities are considered. The sufficient conditions for the existence of the filter are given, thus, guaranteeing the filter error system exponentially stable in the mean-square sense and the performance satisfies a prescribed level by employing the new Lyapunov-Krasovskii functional and linear matrix inequality technique, some new sufficient conditions are obtained.

Stability and Robust Stabilization of 2-D Continuous Systems in Roesser Model Based on GKYP Lemma

2017 ◽  
Vol 8 (3) ◽  
pp. 990 ◽  
Author(s):  
Ismail Errachid ◽  
Abdelaziz Hmamed
Keyword(s):  
Robust Stabilization ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Continuous Systems ◽  
Roesser Model ◽  
Model Based ◽  
Inequality Technique ◽  
The Stability ◽  
Conditions Of Stability ◽  
Linear Matrix Inequality Technique

This paper is concerned with the stability and Robust stabilization problem for 2-D continuous systems in Roesser model, based on Generalized Kalman$-$Yakubovich$-$Popov lemma in combination with frequency-partitioning approach. Sufficient conditions of stability of the systems are formulated via linear matrix inequality technique. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.

scholarly journals Event-Triggered Average Consensus of Multiagent Systems with Switching Topologies

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Gaosen Dong ◽  
Chunde Yang ◽  
Wei Zhu
Keyword(s):  
Multiagent Systems ◽  
Switching Time ◽  
Sufficient Condition ◽  
Total Period ◽  
Switching Topologies ◽  
Average Consensus ◽  
Inequality Technique ◽  
Theoretical Results ◽  
Event Triggered ◽  
Time Sequences

Event-triggered average consensus of multiagent systems with switching topologies is studied in this paper. A distributed protocol based on event-triggered time sequences and switching time sequences is designed. Based on the inequality technique and stability theory of differential equations, a sufficient condition for achieving average consensus is obtained under the assumption that switching signal is ergodic and the total period over which connected topologies is sufficiently large. A numerical simulation is presented to show the effectiveness of the theoretical results.

scholarly journals Finite-TimeH∞Filtering for Singular Stochastic Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
Caixia Liu ◽  
Yingqi Zhang ◽  
Huixia Sun
Keyword(s):  
Finite Time ◽  
Stochastic Systems ◽  
Linear Matrix ◽  
Time Interval ◽  
Inequality Technique ◽  
Error System ◽  
Singular Stochastic Systems ◽  
Finite Time Boundedness ◽  
Bounded Disturbance ◽  
Linear Matrix Inequality Technique

This paper addresses the problem of finite-timeH∞filtering for one family of singular stochastic systems with parametric uncertainties and time-varying norm-bounded disturbance. Initially, the definitions of singular stochastic finite-time boundedness and singular stochasticH∞finite-time boundedness are presented. Then, theH∞filtering is designed for the class of singular stochastic systems with or without uncertain parameters to ensure singular stochastic finite-time boundedness of the filtering error system and satisfy a prescribedH∞performance level in some given finite-time interval. Furthermore, sufficient criteria are presented for the solvability of the filtering problems by employing the linear matrix inequality technique. Finally, numerical examples are given to illustrate the validity of the proposed methodology.

scholarly journals Input-to-State Stabilization of a Class of Uncertain Nonlinear Systems via Observer-Based Event-Triggered Impulsive Control

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-19
Author(s):  
Xiangru Xing ◽  
Jin-E Zhang
Keyword(s):  
Nonlinear Systems ◽  
Impulsive Control ◽  
Linear Matrix ◽  
Uncertain Nonlinear Systems ◽  
State Variables ◽  
Parameter Uncertainties ◽  
Exogenous Disturbances ◽  
Inequality Technique ◽  
Linear Matrix Inequality Technique ◽  
Event Triggered

This article concerns the problem of input-to-state stabilization for a group of uncertain nonlinear systems equipped with nonabsolutely available states and exogenous disturbances. To appropriately cope with these partially measurable state variables as well as dramatically minimize controller updating burden and communication costs, an event-triggered mechanism is skillfully devised and an observer-based impulsive controller with the combination of sample control is correspondingly presented. By resorting to the iterative method and Lyapunov technology, some sufficient criteria are established to guarantee the input-to-state stability of the newly uncertain controlled system under the employed controller, in which an innovative approximation condition as to the uncertain term is proposed and the linear matrix inequality technique is utilized for restraining sophisticated parameter uncertainties. Furthermore, the Zeno behavior in the proposed event-triggered strategy is excluded. The control gains and event-triggered mechanism parameters are conjointly designed by resolving some inequalities of linear matrix. Eventually, the availability and feasibility of the achieved theoretical works are elucidated by two simulation examples.

scholarly journals Event-Based Consensus for General Linear Multiagent Systems under Switching Topologies

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Yinshuang Sun ◽  
Zhijian Ji ◽  
Kaien Liu
Keyword(s):  
Multiagent Systems ◽  
Control Strategies ◽  
Sufficient Conditions ◽  
General Linear ◽  
Control Input ◽  
Switching Topologies ◽  
Event Triggering ◽  
Leader Following ◽  
Fixed Topology ◽  
Event Triggered

In this paper, event-triggered leader-following consensus of general linear multiagent systems under both fixed topology and switching topologies is studied. First, centralised and decentralised event-triggered control strategies based on neighbors’ state estimation are proposed under fixed topology, in which the controller is only updated at the time of triggering. Obviously, compared with the continuous time control algorithms, the event-triggered control strategies can reduce the communication frequency among agents effectively. Meanwhile, event-triggering conditions are derived for systems to achieve consensus by using the Lyapunov stability theory and model transformation method. Then, the theoretical results obtained under the fixed topology are extended to the switching topologies, and the sufficient conditions for the system to achieve leader-following consensus under the switching topologies are given. However, different from fixed topology, the control input of each agent is updated both at event-triggering and topology switching time. Finally, Zeno behaviors can be excluded by proving that the minimum triggering interval of each agent is strictly positive, and the effectiveness of the event-triggered protocol is verified by simulation experiments.

Adaptive state estimation of Markov switched neural networks driven by Lévy noise

2019 ◽  
Vol 42 (2) ◽  
pp. 330-336
Author(s):  
Dongbing Tong ◽  
Qiaoyu Chen ◽  
Wuneng Zhou ◽  
Yuhua Xu
Keyword(s):  
Neural Networks ◽  
State Estimation ◽  
Sufficient Conditions ◽  
Lyapunov Stability Theory ◽  
Lévy Noise ◽  
Linear Matrix ◽  
Delayed Neural Networks ◽  
Switched Neural Networks ◽  
Inequality Technique ◽  
Levy Noise

This paper proposes the [Formula: see text]-matrix method to achieve state estimation in Markov switched neural networks with Lévy noise, and the method is very distinct from the linear matrix inequality technique. Meanwhile, in light of the Lyapunov stability theory, some sufficient conditions of the exponential stability are derived for delayed neural networks, and the adaptive update law is obtained. An example verifies the condition of state estimation and confirms the effectiveness of results.

Guaranteed cost and finite-time event-triggered control of fractional-order switched systems

2021 ◽  
pp. 014233122110048
Author(s):  
Yilin Shang ◽  
Leipo Liu ◽  
Yifan Di ◽  
Zhumu Fu ◽  
Bo Fan
Keyword(s):  
Fractional Order ◽  
Finite Time ◽  
Switched Systems ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Electrical Circuit ◽  
Linear Matrix ◽  
Current State ◽  
Guaranteed Cost ◽  
Event Triggered

This paper considers the problem of guaranteed cost and finite-time event-triggered control of fractional-order switched systems. Firstly, an event-triggered scheme including both the information of current state and an exponential decay function is proposed, and a novel cost function that adopts the characteristics of fractional-order integration is presented. Secondly, some sufficient conditions are derived to guarantee that the corresponding closed-loop system is finite-time stable with a certain cost upper bound, using multiple Lyapunov functions and average dwell time approach. Meanwhile, the event-triggered parameters and state feedback gains are simultaneously obtained via solving linear matrix inequalities. Moreover, Zeno behavior does not exist by finding a positive lower bound of the triggered interval. Finally, an example about fractional-order switched electrical circuit is provided to show the effectiveness of the proposed method.

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