Stabilisation for cascade of nonlinear ODEs and counter-convecting transport dynamics

Xiushan Cai, Dingchao Wang, Yang Liu, Xisheng Zhan and Huaicheng Yan

International Journal of Systems Science, 2019, vol. 50, issue 10, 2053-2062

Abstract: We consider stabilisation for a nonlinear ordinary differential equation (ODE) and counter-convecting transport partial differential equations (PDEs) cascaded system in which the transport coefficients depend on the ODE state. Stability analysis of the closed-loop system is based on the infinite-dimensional backstepping transformations and a Lyapunov functional. A predictor control is proposed such that the closed-loop system is globally asymptotically stable. The proposed design method is illustrated by a single-link manipulator.

Date: 2019
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DOI: 10.1080/00207721.2019.1646350

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