Global decentralised stabilisation for a class of uncertain large-scale feedforward nonlinear systems |
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Authors: | Qixun Lan Shihua Li Chuanlin Zhang |
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Affiliation: | 1. School of Automation, Southeast University, Nanjing 210096, P.R. China;2. School of Mathematics and Physics, Henan University of Urban Construction, Pingdingshan 467036, P.R. China |
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Abstract: | In this paper, the problem of global decentralised stabilisation for a class of uncertain large-scale feedforward nonlinear systems is investigated. The system under consideration is allowed to contain unknown non-Lipschitz continuous nonlinear terms. The design of the global decentralised controllers takes a two steps procedure. First of all, based on the adding a power integrator technique and the homogeneous domination approach a local homogeneous decentralised controller is proposed for each subsystem of the large-scale feedforward nonlinear system. Then, we integrate a series of nested saturation functions with the homogeneous decentralised controllers and adjust the saturation levels to ensure globally asymptotic stability of the closed-loop system. Simulation studies are conducted to illustrate the effectiveness of the proposed control method. |
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Keywords: | large-scale feedforward systems global decentralised stabilisation non-Lipschitz continuous homogeneous domination technique bounded control |
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