控制理论(社会学)
观察员(物理)
非线性系统
反推
控制器(灌溉)
分叉
数学
指数稳定性
边界(拓扑)
混乱的
计算机科学
数学分析
物理
控制(管理)
自适应控制
量子力学
人工智能
农学
生物
作者
Najmeh Ghaderi,Mohammad Keyanpour
出处
期刊:Ima Journal of Mathematical Control and Information
[Oxford University Press]
日期:2021-12-04
卷期号:39 (1): 295-321
被引量:4
标识
DOI:10.1093/imamci/dnab045
摘要
Abstract In this work, an observer-based output feedback controller for a one-dimensional wave equation with van der Pol type nonlinear boundary conditions is considered. The uncontrolled system with the energy injection and the cubic velocity nonlinearity reveals different kinds of dynamical behaviours, for example, chaotic acoustic vibration, period-doubling bifurcation, square wave and some other dynamical patterns. Firstly, an observer is designed, and next, we propose an observer-based output feedback controller using the backstepping approach. We prove well-posedness and globally asymptotic stability of the observer error and corresponding closed-loop system. To this purpose, pre-compactness of the trajectories is shown for the large-time analysis. The validity of the theoretical results is illustrated by some numerical simulations.
科研通智能强力驱动
Strongly Powered by AbleSci AI