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Robust time‐varying formation design for multiagent systems with disturbances: Extended‐state‐observer method

Le Wang, Jianxiang Xi, Ming He, Guangbin Liu

2020International Journal of Robust and Nonlinear Control126 citationsDOIOpen Access PDF

Abstract

Summary Robust time‐varying formation design problems for second‐order multiagent systems subjected to external disturbances are investigated. First, by constructing an extended state observer, the disturbance compensation is estimated, which is a critical term in the proposed robust time‐varying formation control protocol. Then, an explicit expression of the formation center function is determined and impacts of disturbance compensations on the formation center function are presented. With the formation feasibility conditions, robust time‐varying formation design criteria are derived to determine the gain matrix of the formation control protocol by utilizing the algebraic Riccati equation technique. Furthermore, the tracking performance and the robustness property of multiagent systems are analyzed. Finally, the numerical simulation is provided to illustrate the effectiveness of theoretical results.

Topics & Concepts

Control theory (sociology)Robustness (evolution)Algebraic Riccati equationComputer scienceState observerMulti-agent systemRiccati equationRobust controlMathematicsControl systemControl (management)EngineeringDifferential equationNonlinear systemMathematical analysisQuantum mechanicsPhysicsChemistryBiochemistryElectrical engineeringGeneArtificial intelligenceDistributed Control Multi-Agent SystemsMathematical and Theoretical Epidemiology and Ecology ModelsAdaptive Control of Nonlinear Systems