Event-based average consensus of disturbed MASs via fully distributed sliding mode control

Under undirected graph, we design the fully distributed static and dynamic event-triggered sliding mode controllers concerning the average consensus issues for single- and double-integrator multi-agent systems with perturbations. To guarantee the consensus convergence of disturbed first- and second-...

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Published inIEEE transactions on automatic control Vol. 69; no. 3; pp. 1 - 8
Main Authors Yao, Deyin, Li, Hongyi, Shi, Yang
Format Journal Article
LanguageEnglish
Published New York IEEE 01.03.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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Abstract Under undirected graph, we design the fully distributed static and dynamic event-triggered sliding mode controllers concerning the average consensus issues for single- and double-integrator multi-agent systems with perturbations. To guarantee the consensus convergence of disturbed first- and second-order multi-agent systems, two distributed sliding manifolds with respect to an odd function are firstly devised in this paper. Secondly, two types of event-triggered mechanisms, i.e., a static event-triggering mechanism and a dynamic event-triggering mechanism, are established to improve the utilization efficiency of network resources and avoid the continuous communication with neighbors. In both event-triggered sliding mode control strategies, the fully distributed event-triggered sliding mode control laws without global information of the multi-agent networks are proposed, and they can ensure the state trajectories of disturbed first- and second-order multi-agent systems to reach the average consensus. Meanwhile, the finite-time reachability of the specified sliding manifold can be guaranteed and Zeno behavior can be also averted. Thirdly, taking advantage of the Lyapunov stability theory and sliding mode control, sufficient conditions for the average consensus of single- and double-integrator continuous-time multi-agent systems are established. At the end, in order to show the validity of the proposed event-triggered sliding mode control strategies, a numerical simulation and comparative study are offered.
AbstractList Under undirected graph, we design the fully distributed static and dynamic event-triggered sliding mode controllers concerning the average consensus issues for single- and double-integrator multi-agent systems with perturbations. To guarantee the consensus convergence of disturbed first- and second-order multi-agent systems, two distributed sliding manifolds with respect to an odd function are firstly devised in this paper. Secondly, two types of event-triggered mechanisms, i.e., a static event-triggering mechanism and a dynamic event-triggering mechanism, are established to improve the utilization efficiency of network resources and avoid the continuous communication with neighbors. In both event-triggered sliding mode control strategies, the fully distributed event-triggered sliding mode control laws without global information of the multi-agent networks are proposed, and they can ensure the state trajectories of disturbed first- and second-order multi-agent systems to reach the average consensus. Meanwhile, the finite-time reachability of the specified sliding manifold can be guaranteed and Zeno behavior can be also averted. Thirdly, taking advantage of the Lyapunov stability theory and sliding mode control, sufficient conditions for the average consensus of single- and double-integrator continuous-time multi-agent systems are established. At the end, in order to show the validity of the proposed event-triggered sliding mode control strategies, a numerical simulation and comparative study are offered.
Under undirected graph, we design the fully distributed static and dynamic event-triggered sliding mode controllers concerning the average consensus issues for single- and double-integrator multiagent systems (MASs) with perturbations. To guarantee the consensus convergence of disturbed first- and second-order MASs, two distributed sliding manifolds with respect to an odd function are first devised in this article. Second, two types of event-triggered mechanisms, i.e., a static event-triggering mechanism and a dynamic event-triggering mechanism, are established to improve the utilization efficiency of network resources and avoid the continuous communication with neighbors. In both event-triggered sliding mode control (SMC) strategies, the fully distributed event-triggered SMC laws without global information of the multiagent networks are proposed, and they can ensure the state trajectories of disturbed first- and second-order MASs to reach the average consensus. Meanwhile, the finite-time reachability of the specified sliding manifold can be guaranteed and Zeno behavior can be also averted. Third, taking advantage of the Lyapunov stability theory and SMC, sufficient conditions for the average consensus of single- and double-integrator continuous-time MASs are established. At the end, in order to show the validity of the proposed event-triggered SMC strategies, a numerical simulation and comparative study are offered.
Author Yao, Deyin
Shi, Yang
Li, Hongyi
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Snippet Under undirected graph, we design the fully distributed static and dynamic event-triggered sliding mode controllers concerning the average consensus issues for...
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SubjectTerms Average consensus
Comparative studies
disturbed multi-agent systems
Double integrators
dynamic event-triggering mechanism
fully distributed event-triggered robust controller
Laplace equations
Manifolds
Multi-agent systems
Multiagent systems
Power system dynamics
Protocols
Sliding mode control
Switches
Title Event-based average consensus of disturbed MASs via fully distributed sliding mode control
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