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Fuzzy Adaptive Optimized Leader-Following Formation Control for Second-Order Stochastic Multiagent Systems

Yongming Li, Jiaxin Zhang, Shaocheng Tong

2021IEEE Transactions on Industrial Informatics200 citationsDOI

Abstract

In this article, an adaptive optimized formation control problem is studied for the second-order stochastic multiagent systems (MASs) with unknown nonlinear dynamics. Compared with first-order formation control, the second-order MASs consider not only the states but also the states rates, which is certainly more challenging and difficult work. In the control design of this article, the fuzzy logic systems are applied to approximate the nonlinear functions. By employing the actor-critic architecture and Lyapunov stability theory, the proposed optimal formation control strategy ensures that all the error signals are bounded in probability. Finally, the simulation examples verify that the proposed formation control approach achieves desired results.

Topics & Concepts

Control theory (sociology)Nonlinear systemBounded functionFuzzy logicAdaptive controlMulti-agent systemFuzzy control systemComputer scienceLyapunov functionStability (learning theory)Mathematical optimizationControl (management)MathematicsArtificial intelligenceMachine learningPhysicsQuantum mechanicsMathematical analysisDistributed Control Multi-Agent SystemsAdaptive Dynamic Programming ControlNeural Networks Stability and Synchronization