Quantized tracking control for a multi-agent system with high-order leader dynamics.

*(English)*Zbl 1263.93008Summary: This paper presents a study of a tracking control problem for a multi-agent system with an active leader and quantized communication constraints. We first design a discrete-time distributed estimator-based tracking control for each follower-agent and analyze the tracking convergence with the help of the Riccati equation and common Lyapunov function when the communication channel is perfect and the interconnection topology is time-varying. Then a stochastic quantization strategy is applied to model the information communication in the agent coordination and the corresponding solution to the tracking control problem is also given. Finally, a numerical example is given to illustrate the tracking control algorithm.

##### MSC:

93A14 | Decentralized systems |

68T42 | Agent technology and artificial intelligence |

93E03 | Stochastic systems in control theory (general) |

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\textit{J. Hu} and \textit{G. Feng}, Asian J. Control 13, No. 6, 988--997 (2011; Zbl 1263.93008)

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