New results on explicit adaptive control design for nonlinear systems with polynomial conditions. (14th October 2020)

• Record Type: Journal Article
• Authors: Liu, Zhen‐Guo; Xue, Lingrong; Sun, Zong‐Yao
• Is Part Of: International journal of robust and nonlinear control. Volume 31:Number 1(2021)
• Page Start: 324
• Page End: 342
• Publication Date: 2020-10-14
• Subjects: adaptive control -- dynamic gain -- nonlinear systems -- uncertainty; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.5271
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: 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.