Dynamic event-triggered control for linear systems subject to asymmetric actuator saturation

2021 ◽  
pp. 014233122110592
Author(s):  
Hongchao Li ◽  
Nan Zhang ◽  
Huimin Deng
Keyword(s):  
Actuator Saturation ◽  
Sufficient Conditions ◽  
Stable Region ◽  
Time Interval ◽  
Control Engineering ◽  
Event Time ◽  
Dynamic Event ◽  
System A ◽  
Theoretical Results ◽  
Event Triggered

This paper investigates dynamic event-triggered control for systems subject to asymmetric actuator saturation. The asymmetric saturation could severely degrade the performance of systems, which always exists in control engineering. A dynamic event-triggered scheme considering the character of asymmetric saturation is proposed to reduce triggered number of events, under the premise that the closed-loop system subject to asymmetric actuator saturation is asymptotically stabilized. Sufficient conditions are derived to stabilize the system and the minimum inter-event time interval is calculated to exclude Zeno behaviour. An optimization problem is solved to estimate the contractive invariant set as the stable region of the system. A numerical example is given to illustrate the theoretical results.

Adaptive event-triggered control for master-slave switched systems subject to attacked state-dependent switching law

2021 ◽  
pp. 014233122098594
Author(s):  
Lingcong Nie ◽  
Xindi Xu ◽  
Yan Li ◽  
Weiyu Jiang ◽  
Yiwen Qi ◽  
...  
Keyword(s):  
Time Delay ◽  
Switched Systems ◽  
System Performance ◽  
Actuator Saturation ◽  
Sufficient Conditions ◽  
Switched System ◽  
Switching Law ◽  
Variable Threshold ◽  
Event Triggering ◽  
Event Triggered

This paper investigates adaptive event-triggered [Formula: see text] control for network-based master-slave switched systems subject to actuator saturation and data injection attacks. It is an important and unrecognised issue that the switching signal is affected from both event-triggering scheme and network attacks. An adaptive event-triggering scheme is proposed that can adjust the triggering frequency through a variable threshold based on system performance. Furthermore, considering the impacts of transmission delays and actuator saturation, an event-triggered time-delay error switched system is developed. Subsequently, by utilizing piecewise Lyapunov functional technique, sufficient conditions are derived to render the time-delay error switched system to have an [Formula: see text] performance level. In particular, the coupling between switching instants and data updating instants is analyzed during the system performance analysis. Moreover, sufficient conditions for the desired state-feedback controller gains and event-triggering parameter are presented. Finally, a numerical example is given to verify the effectiveness of the proposed method.

scholarly journals Nonfragile Integral-Based Event-Triggered Control of Uncertain Cyber-Physical Systems under Cyber‐Attacks

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-14 ◽  
Author(s):  
Shen Yan ◽  
Sing Kiong Nguang ◽  
Liruo Zhang
Keyword(s):  
Sufficient Conditions ◽  
Cyber Physical Systems ◽  
Cyber Attacks ◽  
Linear Matrix ◽  
Time Interval ◽  
System State ◽  
Network Resources ◽  
Physical Systems ◽  
Mean Square Stability ◽  
Event Triggered

This article studies the problem of nonfragile integral-based event-triggered control for uncertain cyber-physical systems under cyber-attacks. An integral-based event-triggered scheme is proposed to reduce the data transmissions and save the limited network resources. The triggering condition is related to the mean of system state over a finite time interval instead of instant system state. Random cyber-attacks in a communication channel are taken into account and described by a stochastic variable subject to Bernoulli distribution. A novel Lyapunov–Krasovskii functional based on Legendre polynomials is constructed, and the Bessel–Legendre inequality technique is employed to handle the integral term induced by the integral-based event-triggered scheme. Resorting to these treatments, sufficient conditions are established via a set of linear matrix inequalities to guarantee the asymptotic mean-square stability of the closed-loop system. Finally, a numerical example shows that the presented method is effective.

scholarly journals New Methods of Finite-Time Synchronization for a Class of Fractional-Order Delayed Neural Networks

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Weiwei Zhang ◽  
Jinde Cao ◽  
Ahmed Alsaedi ◽  
Fuad E. Alsaadi
Keyword(s):  
Neural Networks ◽  
Fractional Order ◽  
Finite Time ◽  
Time Synchronization ◽  
Sufficient Conditions ◽  
Time Interval ◽  
Finite Time Interval ◽  
Delayed Neural Networks ◽  
New Methods ◽  
Theoretical Results

Finite-time synchronization for a class of fractional-order delayed neural networks with fractional order α, 0<α≤1/2 and 1/2<α<1, is investigated in this paper. Through the use of Hölder inequality, generalized Bernoulli inequality, and inequality skills, two sufficient conditions are considered to ensure synchronization of fractional-order delayed neural networks in a finite-time interval. Numerical example is given to verify the feasibility of the theoretical results.

scholarly journals Bipartite Consensus of Heterogeneous Multiagent Systems Based on Distributed Event-Triggered Control

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-14 ◽  
Author(s):  
Xiaoyu Wang ◽  
Kaien Liu ◽  
Zhijian Ji ◽  
Shitao Han
Keyword(s):  
Multiagent Systems ◽  
Sufficient Conditions ◽  
Input Delay ◽  
Consensus Problem ◽  
Consensus Protocol ◽  
Control Scheme ◽  
Event Triggering ◽  
Bipartite Consensus ◽  
Theoretical Results ◽  
Event Triggered

In this paper, the bipartite consensus problem of heterogeneous multiagent systems composed of first-order and second-order agents is considered by utilizing the event-triggered control scheme. Under structurally balanced directed topology, event-triggered bipartite consensus protocol is put forward, and event-triggering functions consisting of measurement error and threshold are designed. To exclude Zeno behavior, an exponential function is introduced in the threshold. The bipartite consensus problem is transformed into the corresponding stability problem by means of gauge transformation and model transformation. By virtue of Lyapunov method, sufficient conditions for systems without input delay are obtained to guarantee bipartite consensus. Furthermore, for the case with input delay, sufficient conditions which include an admissible upper bound of the delay are obtained to guarantee bipartite consensus. Finally, numerical simulations are provided to illustrate the effectiveness of the obtained theoretical results.

scholarly journals Event-Triggered Cluster Consensus of Leader-Following Linear Multi-Agent Systems

2018 ◽  
Vol 8 (4) ◽  
pp. 293-302 ◽  
Author(s):  
Bin Xu ◽  
Wangli He
Keyword(s):  
Sufficient Conditions ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Event Time ◽  
Control Scheme ◽  
Directed Spanning Tree ◽  
Leader Following ◽  
Multi Agent ◽  
Cluster Consensus ◽  
Event Triggered

Abstract This paper is concerned with cluster consensus of linear multi-agent systems via a distributed event-triggered control scheme. Assume that agents can be split into several clusters and a leader is associated with each cluster. Sufficient conditions are derived to guarantee the realization of cluster consensus by a feasible event-triggered controller if the network topology of each cluster has a directed spanning tree and the couplings within each cluster are sufficiently strong. Further, positive inner-event time intervals are ensured for the proposed event-triggered strategy to avoid Zeno behaviors. Finally, a numerical example is given to illustrate the effectiveness of the theoretical results.

scholarly journals Dynamic Event-Triggered Predictive Control for Interval Type-2 Fuzzy Systems with Imperfect Premise Matching

Entropy ◽  
2021 ◽  
Vol 23 (11) ◽  
pp. 1452
Author(s):  
Jingfeng Zhou ◽  
Jianming Cao ◽  
Jing Chen ◽  
Aihua Hu ◽  
Jingxiang Zhang ◽  
...  
Keyword(s):  
Communication Networks ◽  
Predictive Control ◽  
Fuzzy Systems ◽  
Sufficient Conditions ◽  
Dynamic Event ◽  
Systems Model ◽  
Interval Type ◽  
Imperfect Premise Matching ◽  
Event Triggered

This paper investigates the dynamic event-triggered predictive control problem of interval type-2 (IT2) fuzzy systems with imperfect premise matching. First, an IT2 fuzzy systems model is proposed, including a dynamic event-triggered mechanism, which can save limited network resources by reducing the number of data packets transmitted, and a predictive controller, which can predict the state of the system between the two successful transmitted instants to deal with unreliable communication networks. Then, according to the Lyapunov stability theory and imperfect premise matching method, sufficient conditions for system stabilization and the controller gain are obtained. Finally, the validity of the proposed method is demonstrated by the numerical examples.

Controller design for systems subject to multi-layer nested saturation via event-triggered scheme

2020 ◽  
pp. 014233122094048
Author(s):  
Yuan Zhou ◽  
Hongchao Li ◽  
Jiao Liu ◽  
Dedong Yang
Keyword(s):  
Continuous Time ◽  
Optimization Problem ◽  
Final Section ◽  
Controller Design ◽  
Domain Of Attraction ◽  
Time Interval ◽  
Event Time ◽  
Continuous Time Systems ◽  
Time Systems ◽  
Event Triggered

The design of an event-triggered controller to stabilize the continuous-time systems subject to multi-layer nested saturation is presented in this paper. As a complex nonlinearity, the nested saturation exists in a large number of systems, which may degrade the performance of the system. The sufficient condition for stabilization of the multi-layer saturated system is given by employing event-triggered control, which could reduce communication load of the system. The lower bound of the inter-event time interval is calculated to avoid the Zeno behavior. The domain of attraction for the system is estimated, which is determined by solving an optimization problem. The main advantage of the proposed approach lies in the extensive applicability for different layers of the nested saturation. In the final section, simulation and pratical examples are given to demonstrated the effectiveness of the proposed results.

Dynamic event-triggered fault detection filter design for dynamical systems under fading channels

2021 ◽  
pp. 014233122110661
Author(s):  
Siyang Zhao ◽  
Jinyong Yu
Keyword(s):  
Fault Detection ◽  
Fading Channels ◽  
Filter Design ◽  
Sufficient Conditions ◽  
Design Criterion ◽  
Fault Detection Filter ◽  
Network Bandwidth ◽  
Dynamic Event ◽  
Detection Filter ◽  
Event Triggered

This article investigates the dynamic event-triggered fault detection filter (FDF) design problem for linear continuous-time networked systems, considering the fading channels phenomenon and randomly occurring faults. A dynamic event-triggered mechanism (ETM) is introduced to reduce the network bandwidth occupation more efficiently by utilizing an internal variable which can enlarge the event-triggered intervals. Besides, the Zeno phenomenon is eliminated fundamentally by ensuring that the event-triggered intervals are positive lower bounded. After that, sufficient conditions are derived to guarantee the stochastic stability of the residual system with a desired [Formula: see text] performance and the co-design criterion of the FDF and the dynamic ETM is developed. Finally, an unmanned surface vehicle (USV) system is used to illustrate the applicability of the presented approach.

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