Impulsive stabilization of a class of nonlinear system with bounded gain error  

作　　者：马铁东 赵飞亚 

机构地区：[1]Key Laboratory of Dependable Service Computing in Cyber Physical Society of Ministry of Education, Chongqing University [2]College of Automation, Chongqing University

出　　处：《Chinese Physics B》2014年第12期103-108,共6页中国物理B（英文版）

基　　金：Project supported by the Major State Basic Research Development Program of China(Grant No.2012CB215202);the National Natural Science Foundation of China(Grant Nos.61104080 and 61134001);the Fundamental Research Funds for the Central Universities(Grant No.CDJZR13 175501)

摘　　要：Considering mechanical limitation or device restriction in practical application, this paper investigates impulsive stabilization of nonlinear systems with impulsive gain error. Compared with the existing impulsive analytical approaches,the proposed impulsive control method is more practically applicable, which includes control gain error with an acceptable boundary. A sufficient criterion for global exponential stability of an impulsive control system is derived, which relaxes the condition for precise impulsive gain efficiently. The effectiveness of the proposed method is confirmed by theoretical analysis and numerical simulation based on Chua＇s circuit.Considering mechanical limitation or device restriction in practical application, this paper investigates impulsive stabilization of nonlinear systems with impulsive gain error. Compared with the existing impulsive analytical approaches,the proposed impulsive control method is more practically applicable, which includes control gain error with an acceptable boundary. A sufficient criterion for global exponential stability of an impulsive control system is derived, which relaxes the condition for precise impulsive gain efficiently. The effectiveness of the proposed method is confirmed by theoretical analysis and numerical simulation based on Chua＇s circuit.

关 键 词：bounded gain error impulsive control exponential stability Chua＇s circuit 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]