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一类具有时变参数不确定非线性系统的鲁棒控制

朱永红 姜长生

南京航空航天大学学报(英文版)2003,Vol.20Issue(1):97-102,6.
南京航空航天大学学报(英文版)2003,Vol.20Issue(1):97-102,6.

一类具有时变参数不确定非线性系统的鲁棒控制

ROBUST CONTROL OF A CLASS OF NONLINEAR SYSTEM WITH TIME-VARYING PARAMETRIC UNCERTAINTIES

朱永红 1姜长生2

作者信息

  • 1. 景德镇陶瓷学院机电系,景德镇,333000
  • 2. 中国南京航空航天大学自动化学院,南京,210016,中国
  • 折叠

摘要

Abstract

A class of triangular nonlinear system with disturbances which has unknown multiplicative time-varying parametric uncertainties in each virtual control is treated by a backstepping technique. The controller designed for all admissible uncertainties can guarantee that all states of its closed-loop system are uniformly bounded. The robust controller design algorithm and a sufficient condition of the system stability are given. In addition, the closed-loop system has an ISS property when the multiplicative time-varying parametric uncertainties are viewed as inputs to the system. Thus, this design provides a way to prevent a destabilizing effect of the multiplicative time-varying parametric uncertainties. Finally, simulational example is given and simulational result shows that the controller exhibits effectiveness and excellent robustness.

关键词

非线性系统/鲁棒控制/递推设计

Key words

nonlinear system/robust control/backstepping design

分类

信息技术与安全科学

引用本文复制引用

朱永红,姜长生..一类具有时变参数不确定非线性系统的鲁棒控制[J].南京航空航天大学学报(英文版),2003,20(1):97-102,6.

基金项目

Supported by the National Natural Science Foundation of China (G60174045).国家自然科学基金(G60174045)资助项目. (G60174045)

南京航空航天大学学报(英文版)

1005-1120

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