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Stabilisation for cascade of nonlinear ODEs and counter-convecting transport dynamics |
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| Authors: | Xiushan Cai Dingchao Wang Yang Liu Xisheng Zhan Huaicheng Yan |
| Affiliation: | 1. College of Mechatronics and Control Engineering, Hubei Normal University, Huangshi, People's Republic of China;2. College of Mathematics, Physics, and Information Engineering, Zhejiang Normal University, Jinhua, People's Republic of Chinaxiushan@zjnu.cn;4. College of Mathematics, Physics, and Information Engineering, Zhejiang Normal University, Jinhua, People's Republic of China |
| 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. |
| Keywords: | Cascaded system counter-convecting transport dynamics predictor control backstepping transformations |