Fixed‐time sliding mode cooperative control for multiagent networks via event‐triggered strategy

In this paper, an event-triggered integral sliding mode fixed-time control method for trajectory tracking problem of autonomous underwater vehicle (AUV) with disturbance is investigated. Initially, the global fixed time stability is ensured with conventional periodic sampling method for reference trajectory tracking. By introducing fixed time integral sliding mode manifold, fixed time control strategy is expressed for the AUV, which can effectively eliminate the singularity. Correspondingly, in order to reduce the damage caused by chattering phenomenon, an adaptive fixed-time method is proposed based on the designed continuous integral terminal sliding mode (ITSM) to ensure that the trajectory tracking for AUV is achieved in fixed-time with external disturbance. In order to reduce resource consumption in the process of transmission network, the event-triggered sliding mode control strategy is designed which condition is triggered by an event. Also, Zeno behavior is avoided by proof of theoretical. It is shown that the upper bounds of settling time are only dependent on the parameters of controller. Theoretical analysis and simulation experiment results show that the presented methods can realize the control object.

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Distributed fixed-time cooperative control of an islanded microgrid under event-triggered mechanism

10.21203/rs.3.rs-793535/v1 ◽

2021 ◽

Author(s):

Deming Xu ◽

Ze Li ◽

Guozeng Cui ◽

Wanjun Hao ◽

Fuyuan Hu

Keyword(s):

Cooperative Control ◽

Fixed Time ◽

Active Power ◽

Settling Time ◽

Power Sharing ◽

Control Approach ◽

Time Control ◽

Islanded Microgrid ◽

Control Protocols ◽

Event Triggered

Abstract The secondary cooperative control problem of an islanded microgrid through event-triggered mechanism is investigated in this paper. A distributed fixedtime secondary cooperative control strategy is proposed to obtain frequency and voltage magnitude secondary restoration, and also a proportional active power sharing under an undirected topology. We consider a centralized event-triggered mechanism to alleviate the communication burden and reduce the frequency of controllers update. Through this mechanism, the distributed fixed-time control protocols using frequency, voltage magnitude and active power sampling measurement values of distributed generations (DGs) only when the predefined event-triggered condition is satisfied. Compared with the conventional distributed asymptotic control protocols under period-triggered communication, the secondary control objectives of an islanded microgrid are achieved within a fixed settling time by applying the presented distributed fixed-time control approach, and the upper bound of settling time is unrelated to any initial states. Meanwhile, the presented centralized event-triggered communication method exhibits excellent performance in alleviating communication burden and promoting control efficiency. The theoretical proof is given by adopting Lyapunov method. The simulation studies are conducted to illustrate the effectiveness of the proposed control scheme.

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Dynamic event-triggered formation control for AUVs with fixed-time integral sliding mode disturbance observer

Ocean Engineering ◽

10.1016/j.oceaneng.2021.109893 ◽

2021 ◽

Vol 240 ◽

pp. 109893

Author(s):

Bo Su ◽

Hong-bin Wang ◽

Yueling Wang

Keyword(s):

Disturbance Observer ◽

Formation Control ◽

Sliding Mode ◽

Fixed Time ◽

Integral Sliding Mode ◽

Dynamic Event ◽

Time Integral ◽

Sliding Mode Disturbance Observer ◽

Event Triggered

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Event-Triggered Fixed-Time Integral Sliding Mode Control for Nonlinear Multi-Agent Systems with Disturbances

Entropy ◽

10.3390/e23111412 ◽

2021 ◽

Vol 23 (11) ◽

pp. 1412

Author(s):

Xue Li ◽

Zhiyong Yu ◽

Haijun Jiang

Keyword(s):

Sliding Mode ◽

Fixed Time ◽

Control Parameters ◽

Multi Agent Systems ◽

External Disturbances ◽

Containment Control ◽

Agent Systems ◽

Leader Following ◽

Multi Agent ◽

Event Triggered

In this paper, the leader-following consensus problem of first-order nonlinear multi-agent systems (FONMASs) with external disturbances is studied. Firstly, a novel distributed fixed-time sliding mode manifold is designed and a new static event-triggered protocol over general directed graph is proposed which can well suppress the external disturbances and make the FONMASs achieve leader-following consensus in fixed-time. Based on fixed-time stability theory and inequality technique, the conditions to be satisfied by the control parameters are obtained and the Zeno behavior can be avoided. In addition, we improve the proposed protocol and propose a new event-triggering strategy for the FONMASs with multiple leaders. The systems can reach the sliding mode surface and achieve containment control in fixed-time if the control parameters are designed carefully. Finally, several numerical simulations are given to show the effectiveness of the proposed protocols.

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