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一类多模型自适应控制系统的稳定性证明
引用本文:贾之勇,李安贵. 一类多模型自适应控制系统的稳定性证明[J]. 北京工商大学学报(自然科学版), 2005, 23(5): 56-59
作者姓名:贾之勇  李安贵
作者单位:北京科技大学,数力系,北京,100083
摘    要:针对一类时不变或慢时变的离散时间非线性系统,首先在线性鲁棒自适应控制的基础上,给出了系统有界输入-有界输出的稳定性证明,并得到了系统有界输入-有界输出稳定的充分条件;继而将其引入到多模型切换控制中,经证明该条件可以保证间接多模型自适应切换控制的稳定,较好的兼顾了系统的稳定性和瞬态响应,从而为间接多模型自适应控制器的设计提供了理论依据.

关 键 词:自适应控制  多模型  稳定性
文章编号:1671-1513(2005)05-0056-04
收稿时间:2005-06-04
修稿时间:2005-06-04

STABILITY PROOF OF A MULTIPLE-MODEL ADAPTIVE CONTROL SYSTEM
JIA Zhi-yong,LI An-gui. STABILITY PROOF OF A MULTIPLE-MODEL ADAPTIVE CONTROL SYSTEM[J]. Journal of Beijing Technology and Business University:Natural Science Edition, 2005, 23(5): 56-59
Authors:JIA Zhi-yong  LI An-gui
Affiliation:Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, China
Abstract:In this paper,for a class of fixed or slowly time-varying nonlinear discrete time systems,based on the linear robust adaptive control,it proved that the system is bounded-input and bounded-output(BIBO).Simultaneously got sufficient condition which guarantee the system BIBO;then this sufficient condition is introduced into multiple model control,it has proved that this sufficient condition can guarantee the stability of indirect multiple model adaptive switching control.By using a switching scheme,it is demonstrated that improved performance and stability can be simultaneously achieved.Thus it provides theoretic basis for the design of indirect multiple model adaptive controllers.
Keywords:adaptive control  multiple models  stability
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