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Prescribed Performance Bipartite Consensus Control for Stochastic Nonlinear Multiagent Systems Under Event-Triggered Strategy

Chang-E Ren, Jiaang Zhang, Yong Guan

2021IEEE Transactions on Cybernetics81 citationsDOI

Abstract

In this article, the event-triggered bipartite consensus problem for stochastic nonlinear multiagent systems (MASs) with unknown dead-zone input under the prescribed performance is studied. To surmount the influence of the dead-zone input, the dead-zone model is transformed into a linear term and a disturbance term. Meanwhile, the prescribed tracking performance is realized by developing a speed function, which means that all tracking errors of MASs can converge to a predefined set in a given finite time. Moreover, the unknown nonlinear dynamics are approximated by fuzzy-logic systems. By combining the dynamic surface approach and the Lyapunov stability theory, we design an adaptive event-triggered control algorithm, such that the bipartite consensus problem of stochastic nonlinear MASs can be achieved, and all signals are semiglobally uniformly ultimately bounded in probability of the closed-loop systems. Finally, simulation examples are proposed to verify the feasibility of the algorithm.

Topics & Concepts

Nonlinear systemControl theory (sociology)Bounded functionLyapunov functionMulti-agent systemBipartite graphSet (abstract data type)Computer scienceLyapunov stabilityStability (learning theory)Adaptive controlTerm (time)MathematicsConsensusTracking (education)Mathematical optimizationBacksteppingTracking errorController (irrigation)TrajectoryNonlinear controlConvergence (economics)Stochastic processControl (management)Exponential stabilityDistributed Control Multi-Agent SystemsAdaptive Control of Nonlinear SystemsAdaptive Dynamic Programming Control