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

doi:10.1088/1674-1056/23/12/120504

›› 2014, Vol. 23 ›› Issue (12): 120504-120504.doi: 10.1088/1674-1056/23/12/120504

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

马铁东^{a b}, 赵飞亚^b

a Key Laboratory of Dependable Service Computing in Cyber Physical Society of Ministry of Education, Chongqing University, Chongqing 400044, China;
b College of Automation, Chongqing University, Chongqing 400044, China

收稿日期:2014-05-02 修回日期:2014-06-23 出版日期:2014-12-15 发布日期:2014-12-15
基金资助:
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), and the Fundamental Research Funds for the Central Universities (Grant No. CDJZR13 175501).

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

Ma Tie-Dong (马铁东)^{a b}, Zhao Fei-Ya (赵飞亚)^b

a Key Laboratory of Dependable Service Computing in Cyber Physical Society of Ministry of Education, Chongqing University, Chongqing 400044, China;
b College of Automation, Chongqing University, Chongqing 400044, China

Received:2014-05-02 Revised:2014-06-23 Online:2014-12-15 Published:2014-12-15
Contact: Ma Tie-Dong E-mail:mtd1118@gmail.com
Supported by:
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), and the Fundamental Research Funds for the Central Universities (Grant No. CDJZR13 175501).

摘要/Abstract

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.

关键词: bounded gain error, impulsive control, exponential stability, Chua', s circuit

Abstract: 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.

Key words: bounded gain error, impulsive control, exponential stability, Chua's circuit

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

05.45.Pq (Numerical simulations of chaotic systems)

马铁东, 赵飞亚. Impulsive stabilization of a class of nonlinear system with bounded gain error[J]. , 2014, 23(12): 120504-120504.

Ma Tie-Dong (马铁东), Zhao Fei-Ya (赵飞亚). Impulsive stabilization of a class of nonlinear system with bounded gain error[J]. Chin. Phys. B, 2014, 23(12): 120504-120504.

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

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

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