控制方向未知的高次不确定非线性系统低复杂度预定性能控制  

Low-complexity prescribed performance control of high-order uncertain nonlinear system with unknown control directions

作　　者：丁超 石超[1,2] 董新民[1] 陈勇[1] 刘棕成[1] DING Chao;SHI Chao;DONG Xin-min;CHEN Yong;LIU Zhong-cheng(Aeronautics Engineering College, Air Force Engineering University, Xi’an Shaannxi 710038, China;Graduate College, Air Force Engineering University, Xi’an Shaannxi 710051, China)

机构地区：[1]空军工程大学航空工程学院,陕西西安710038 [2]空军工程大学研究生院,陕西西安710051

出　　处：《控制理论与应用》2019年第10期1622-1630,共9页Control Theory & Applications

基　　金：国家自然科学基金项目(61473307,61603411,61304120);中国博士后科学基金项目(2016M592966,2017M613417)资助~~

摘　　要：本文研究了控制方向未知的高次不确定非线性系统预定性能控制问题.基于有理分式函数类型的误差转换,通过设计具有切换形式的控制器,提出了一种低复杂度的控制方法,并利用Lyapunov理论和反证法证明了闭环系统稳定性.与现有其他方法相比,该方法具有适用范围广、跟踪精度高、容错能力强、控制器简单等优点.仿真结果验证了本文结论.This paper investigates the prescribed performance control problem of high-order uncertain nonlinear system with unknown control directions. Based on the error transformations in rational fraction forms, a low-complexity control scheme is proposed by designing a switching controller. The stability of the closed loop system is proved by Lyapunov theorem and contradiction. Compared with the existing methods, the proposed method possesses many advantages such as the wide application range, high tracking precision, strong fault-tolerant ability, and low-complexity controller, etc. Conclusions in this paper are demonstrated by a simulation.

关 键 词：非线性系统 控制系数 低复杂度 预定性能 执行器故障 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]