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        Fully Distributed Formation Tracking for High-order Nonlinear Multi-agent Systems with Heterogeneous Uncertainties

        Weilai Jiang,Tingting Xi,Yaonan Wang,Wenqiang Zhang 제어·로봇·시스템학회 2022 International Journal of Control, Automation, and Vol.20 No.12

        This article investigates the fully distributed formation tracking issue for high-order nonlinear multiagent systems (MASs) with heterogeneous uncertainties and a directed interaction graph. In order to estimate the nonlinear dynamics for followers, external disturbances as well as the control input of leader, which are all not known, a distributed extended state observer (ESO) is constructed. Depending on ESOs’ estimations, a new fully distributed formation protocol is proposed to achieve the anti-disturbance formation tracking of an unknown input leader. A specified algorithm of the protocol is given and the feasibility condition for realizing the desired formation tracking is derived. It is theoretically demonstrated that the high-order uncertain nonlinear MASs can realize the formation tracking within the proposed protocol provided the feasibility condition is satisfied. The simulations are performed for proving the validity and improvements of theoretical analysis.

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        Switching Polytopic Linear Parameter-varying Control for Hypersonic Vehicles in Full Envelope

        Weilai Jiang,Chenghong Zheng,Yaonan Wang,XueJiao Sun 제어·로봇·시스템학회 2024 International Journal of Control, Automation, and Vol.22 No.3

        Gain scheduling control of hypersonic vehicles (HVs) in full envelope is studied utilizing switchingpolytopic linear parameter-varying (LPV) method. Envelope division and a new convex decomposition strategywith optimal gap metric are used to establish the switching polytopic LPV system of HVs. Sufficient conditions forstability assessment and controller synthesis for the switching polytopic LPV system are presented by average dwelltime (ADT) and multiple parameter-dependent Lyapunov functions (MPDLF). To reduce computation burden andsimplify the realization of controller, limited number of linear matrix inequalities (LMIs) are derived to dealing withswitching polytopic LPV controllers by constructing the intermediate controller variables are depend affinely on thescheduling parameter. Furthermore, to make the proposed method have better engineering value, the control matrixof LPV system studied in this paper may not have to be a constant matrix. Simulation results show the effectivenessof the switching polytopic LPV control method for HVs.

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