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Model‐free adaptive formation control for unknown multiinput‐multioutput nonlinear heterogeneous discrete‐time multiagent systems with bounded disturbance

Shuangshuang Xiong, Zhongsheng Hou, Shangtai Jin

2020International Journal of Robust and Nonlinear Control33 citationsDOI

Abstract

Summary Based on the model‐free adaptive control, the distributed formation control problem is investigated for a class of unknown heterogeneous nonlinear discrete‐time multiagent systems with bounded disturbance. Two equivalent data models to the unknown multiagent systems are established through the dynamic linearization technique considering the circumstances with measurable and unmeasurable disturbances. Based on the obtained data models, two distributed controllers are designed with only using the input/output and disturbance data of the neighbor agents system. The tracking error of the closed‐loop system driven by the proposed controllers is shown to be bounded by the contraction mapping principle and inductive methods. An example illustrates the effectiveness of the proposed two distributed controllers.

Topics & Concepts

Control theory (sociology)Bounded functionNonlinear systemLinearizationMulti-agent systemComputer scienceFeedback linearizationTracking errorInternal modelDisturbance (geology)Adaptive controlDiscrete time and continuous timeMathematicsControl (management)Artificial intelligenceBiologyMathematical analysisQuantum mechanicsStatisticsPaleontologyPhysicsDistributed Control Multi-Agent SystemsAdaptive Control of Nonlinear SystemsAdaptive Dynamic Programming Control
Model‐free adaptive formation control for unknown multiinput‐multioutput nonlinear heterogeneous discrete‐time multiagent systems with bounded disturbance | Litcius