Knowledge Commons of Institute of Automation,CAS
PID Control of Planar Nonlinear Uncertain Systems in the Presence of Actuator Saturation | |
Xujun Lyu; Zongli Lin | |
发表期刊 | IEEE/CAA Journal of Automatica Sinica
![]() |
ISSN | 2329-9266 |
2022 | |
卷号 | 9期号:1页码:90-98 |
摘要 | This paper investigates PID control design for a class of planar nonlinear uncertain systems in the presence of actuator saturation. Based on the bounds on the growth rates of the nonlinear uncertain function in the system model, the system is placed in a linear differential inclusion. Each vertex system of the linear differential inclusion is a linear system subject to actuator saturation. By placing the saturated PID control into a convex hull formed by the PID controller and an auxiliary linear feedback law, we establish conditions under which an ellipsoid is contractively invariant and hence is an estimate of the domain of attraction of the equilibrium point of the closed-loop system. The equilibrium point corresponds to the desired set point for the system output. Thus, the location of the equilibrium point and the size of the domain of attraction determine, respectively, the set point that the output can achieve and the range of initial conditions from which this set point can be reached. Based on these conditions, the feasible set points can be determined and the design of the PID control law that stabilizes the nonlinear uncertain system at a feasible set point with a large domain of attraction can then be formulated and solved as a constrained optimization problem with constraints in the form of linear matrix inequalities (LMIs). Application of the proposed design to a magnetic suspension system illustrates the design process and the performance of the resulting PID control law. |
关键词 | Actuator saturation domain of attraction nonlinear systems PID control uncertainties |
DOI | 10.1109/JAS.2021.1004281 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.ia.ac.cn/handle/173211/45976 |
专题 | 学术期刊_IEEE/CAA Journal of Automatica Sinica |
推荐引用方式 GB/T 7714 | Xujun Lyu,Zongli Lin. PID Control of Planar Nonlinear Uncertain Systems in the Presence of Actuator Saturation[J]. IEEE/CAA Journal of Automatica Sinica,2022,9(1):90-98. |
APA | Xujun Lyu,&Zongli Lin.(2022).PID Control of Planar Nonlinear Uncertain Systems in the Presence of Actuator Saturation.IEEE/CAA Journal of Automatica Sinica,9(1),90-98. |
MLA | Xujun Lyu,et al."PID Control of Planar Nonlinear Uncertain Systems in the Presence of Actuator Saturation".IEEE/CAA Journal of Automatica Sinica 9.1(2022):90-98. |
条目包含的文件 | 下载所有文件 | |||||
文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | ||
JAS-2021-0202.pdf(3805KB) | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | 浏览 |
个性服务 |
推荐该条目 |
保存到收藏夹 |
查看访问统计 |
导出为Endnote文件 |
谷歌学术 |
谷歌学术中相似的文章 |
[Xujun Lyu]的文章 |
[Zongli Lin]的文章 |
百度学术 |
百度学术中相似的文章 |
[Xujun Lyu]的文章 |
[Zongli Lin]的文章 |
必应学术 |
必应学术中相似的文章 |
[Xujun Lyu]的文章 |
[Zongli Lin]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论