A new approach to adaptive control design without overparametrization for a class of uncertain nonlinear systems  

作　　者：ZHANG Jian LIU YunGang 

机构地区：[1]School of Control Science and Engineering, Shandong University, Jinan 250061, China

出　　处：《Science China(Information Sciences)》2011年第7期1419-1429,共11页中国科学（信息科学）（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos.60674036,60974003);the Program for New Century Excellent Talents in University of China (Grant No.NCET-07-0513);the Key Science and Technique Foundation of Ministry of Education of China (Grant No.108079);the Excellent Young and Middle-Aged Scientist Award Grant of Shandong Province of China (Grant No.2007BS01010);the Natural Science Foundation for Distinguished Young Scholar of Shandong Province of China (Grant No.JQ200919);the Independent Innovation Foundation of Shandong University (Grant No.2009JQ008)

摘　　要：This paper considers the globally stabilizing adaptive controller design for a class of more general uncertain high-order nonlinear systems with unknown control coefficients. Although the existing literature has solved the problem, for n-dimensional systems, the existing methods need at least n ＋ 1 dynamic updating laws for the unknown parameters to construct the stabilizing adaptive controller; that is, the dimension of the dynamic compensator is not less than n ＋ 1, and therefore, there exists serious overparametrization. In this paper, by defining some new unknown parameters which need dynamic updating, also by using adding a power integrator and related adaptive technique, the overparametrization is successfully solved and a new approach is given to design stabilizing adaptive controller based on only one parameter updating law. A simulation example is finally provided to demonstrate the validness of the proposed approach.This paper considers the globally stabilizing adaptive controller design for a class of more general uncertain high-order nonlinear systems with unknown control coefficients. Although the existing literature has solved the problem, for n-dimensional systems, the existing methods need at least n ＋ 1 dynamic updating laws for the unknown parameters to construct the stabilizing adaptive controller; that is, the dimension of the dynamic compensator is not less than n ＋ 1, and therefore, there exists serious overparametrization. In this paper, by defining some new unknown parameters which need dynamic updating, also by using adding a power integrator and related adaptive technique, the overparametrization is successfully solved and a new approach is given to design stabilizing adaptive controller based on only one parameter updating law. A simulation example is finally provided to demonstrate the validness of the proposed approach.

关 键 词：high-order nonlinear systems unknown control coefficients overparametrization stabilizing control design adding a power integrator adaptive technique 

分 类 号：TP273.2[自动化与计算机技术—检测技术与自动化装置] TD327.2[自动化与计算机技术—控制科学与工程]