Title :
Notes to Robust Stabilization of a Class of Time-delay Nonlinear Systems
Author :
Li, Junmin ; Chen, Weisheng ; Li, Jing ; Ho, D.W.C.
Author_Institution :
Dept. of Appl. Math., Xidian Univ., Xi´´an
Abstract :
In this paper, we point out an unsolved problem in the constructing procedures of the proof in theorem 1 of (Sing Kiong Nguang, 2000) and also to inappropriate conditions C2) and C3). A counterexample is given which satisfies the settings of the paper (Sing Kiong Nguang, 2000) to illustrate the error of C2). For a second-order nonlinear time-delay system, we give a solving method for the unsolved problem which can obtain the local asymptotical stability of the system. A simulation example is also given to show the feasibility and efficiency of the method
Keywords :
asymptotic stability; delays; nonlinear control systems; robust control; local asymptotical stability; robust stabilization; second-order nonlinear time-delay system; Adaptive control; Asymptotic stability; Backstepping; Delay; Feedback; Geometry; Mathematics; Nonlinear systems; Robust control; Robustness; Time-delay nonlinear system; backstepping; stabilization;
Conference_Titel :
Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on
Conference_Location :
Dalian
Print_ISBN :
1-4244-0332-4
DOI :
10.1109/WCICA.2006.1712498