Predictor control for non-linear systems actuated via counter-convecting transport PDEs
Predictor control for non-linear systems actuated via counter-convecting transport PDEs
复制标题
通过对流传输偏微分方程驱动的非线性系统的预测器控制
DOI：
10.1049/cth2.12019
复制
发表时间：
2021
影响因子：
2.6
通讯作者：
Liu Leibo
中科院分区：
文献类型：
--
作者：
Cai Xiushan;Lin Cong;Zhan Xisheng;Liu Leibo
本文研究了一类非线性常微分方程与反对流输运偏微分方程的级联系统的预测控制问题，该系统的传播速度依赖于偏微分方程的状态。闭环系统的稳定性分析是通过使用无穷维反推变换和适当的李雅普诺夫泛函。一个预测器控制开发，使得闭环系统是渐近稳定的。最后通过一个算例说明了该方法的有效性。
The authors investigate predictor control for the cascaded system of a non‐linear ordinary differential equation with counter‐convecting transport partial differential equations with propagation velocities dependent on partial differential equations states in this paper. Stability analysis of the closed‐loop system is shown by using the infinite‐dimensional backstepping transformations and an appropriate Lyapunov functional. A predictor control is developed such that the closed‐loop system is asymptotically stable. An example is given to illustrate the validity of the proposed method.