New results on explicit adaptive control design for nonlinear systems with polynomial conditions

被引:11
|
作者
Liu, Zhen-Guo [1 ]
Xue, Lingrong [2 ]
Sun, Zong-Yao [3 ]
机构
[1] Shanxi Univ, Sch Automat & Software Engn, Taiyuan 030006, Peoples R China
[2] Shanxi Univ Finance & Econ, Sch Informat Management, Taiyuan, Peoples R China
[3] Qufu Normal Univ, Inst Automat, Qufu, Shandong, Peoples R China
基金
中国国家自然科学基金;
关键词
adaptive control; dynamic gain; nonlinear systems; uncertainty; OUTPUT-FEEDBACK STABILIZATION; DYNAMIC SURFACE CONTROL; UNCERTAIN SYSTEMS; FINITE-TIME; TRACKING CONTROL; DEAD-ZONE; ORDER;
D O I
10.1002/rnc.5271
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper discusses the adaptive control problem for a class of nonlinear systems with polynomial growing conditions. By introducing a Lyapunov function which carries the quadratic terms and higher-order terms of the transformed variables and constructing an appropriate dynamic gain, a new control strategy is presented to design an adaptive controller using only one parameter estimation. Compared with the existing results, the presented method avoids the over-parameterization and significantly simplifies the control design. A modified version of the method which adopts no parameter estimation is also provided. It shows that all the signals of the closed-loop system are bounded and the solution of the original system converges to zero. A simulation example is given to show the validness of the method.
引用
收藏
页码:324 / 342
页数:19
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