一种新型三阶固定时间收敛滑模非线性扩张状态观测器
Novel third-order fixed-time convergent nonlinear extended state observer based on sliding mode control method
刘俊 1谭锦浩 1蒲明 1张葛祥 1但志宏 2郭戈3
作者信息
- 1. 成都信息工程大学自动化学院,成都 610225
- 2. 中国航发四川燃气涡轮研究院高空模拟技术重点实验室,四川绵阳 621703
- 3. 东北大学流程工业综合自动化国家重点实验室,沈阳 110819
- 折叠
摘要
为了解决传统扩张状态观测器存在对系统状态跟踪速度慢、跟踪精度低的问题,基于滑模控制方法设计一种新型三阶固定时间收敛滑模非线性扩张状态观测器,并对其收敛时间和稳态误差进行分析.首先,提出一种新型固定时间收敛滑模面和滑模趋近律,并借助滑模控制方法设计得到滑模非线性扩张状态观测器;然后,利用Lyapunov函数证明该滑模非线性扩张状态观测器能够实现固定时间收敛,并分析其对系统扰动的估计误差;最后,仿真对比实验表明,与传统扩张状态观测器相比,所提出滑模非线性扩张状态观测器能够实现对系统状态快速且高精度的跟踪、具有显著的性能优势.
Abstract
Based on the sliding mode control method,a new third-order fixed time convergent sliding mode nonlinear extended state observer(SMNESO)is designed to address the problems of slow tracking speed and low tracking accuracy of the traditional extended state observer for system states,and its convergence time and steady-state errors are analyzed.Firstly,a new fixed-time convergence sliding mode surface and sliding mode approach law are proposed,and a SMNESO is designed by the sliding mode control method.Then,it is proved that the SMNESO can achieve fixed-time convergence using the Lyapunov function,and the estimation error of the system disturbances is analyzed.Finally,the comparative simulation experiments show that the SMNESO can track the system states quickly and accurately,which has a significant performance advantage over the traditional extended state observer.
关键词
非线性扩张状态观测器/滑模控制/固定时间收敛/状态估计/Lyapunov函数/自抗扰控制Key words
nonlinear extended state observer/sliding mode control/fixed-time convergence/state estimation/Lyapunov function/active disturbance rejection control引用本文复制引用
出版年
2024
NETL
NSTL
万方数据