New results on global output-feedback stabilization for nonlinear systems with unknown growth rate  

作　　者：Xuehua YAN Yungang LIU 

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

出　　处：《控制理论与应用（英文版）》2013年第3期401-408,共8页

基　　金：supported by the National Natural Science Foundations of China (Nos. 60974003, 61143011, 61273084, 61233014);the Natural Science Foundation for Distinguished Young Scholar of Shandong Province of China (No. JQ200919);the Independent Innovation Foundation of Shandong University (No. 2012JC014)

摘　　要：In this paper, the global asymptotic stabilization by output feedback is investigated for a class of uncertain nonlinear systems with unmeasured states dependent growth. Compared with the closely related works, the remarkableness of the paper is that either the growth rate is an unknown constant or the dimension of the closed-loop system is significantly reduced, mainly due to the introduction of a distinct dynamic high-gain observer based on a new updating law. Motivated by the related stabilization results, and by skillfully using the methods of universal control and backstepping, we obtain the design scheme to an adaptive output-feedback stabilizing controller to guarantee the global asymptotic stability of the resulting closed-loop system. Additionally, a numerical example is considered to demonstrate the effectiveness of the proposed method.In this paper, the global asymptotic stabilization by output feedback is investigated for a class of uncertain nonlinear systems with unmeasured states dependent growth. Compared with the closely related works, the remarkableness of the paper is that either the growth rate is an unknown constant or the dimension of the closed-loop system is significantly reduced, mainly due to the introduction of a distinct dynamic high-gain observer based on a new updating law. Motivated by the related stabilization results, and by skillfully using the methods of universal control and backstepping, we obtain the design scheme to an adaptive output-feedback stabilizing controller to guarantee the global asymptotic stability of the resulting closed-loop system. Additionally, a numerical example is considered to demonstrate the effectiveness of the proposed method.

关 键 词：Uncertain nonlinear systems Global asymptotic stabilization Adaptive control Output feedback Dynamic high gain 

分 类 号：O231[理学—运筹学与控制论]