Open AccessPredictor control for non‐linear systems actuated via counter‐convecting transport PDEs
Author(s) -
Cai Xiushan,
Lin Cong,
Zhan Xisheng,
Liu Leibo
Publication year - 2021
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/cth2.12019
Subject(s) - backstepping , control theory (sociology) , partial differential equation , mathematics , stability theory , lyapunov function , ordinary differential equation , exponential stability , stability (learning theory) , closed loop , nonlinear system , differential equation , mathematical analysis , control (management) , computer science , adaptive control , physics , engineering , control engineering , artificial intelligence , quantum mechanics , machine learning
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.