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

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

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.

Keywords: bounded gain error impulsive control exponential stability Chua's circuit

Received: 02 May 2014
Revised: 23 June 2014
Accepted manuscript online:

PACS:	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Pq	(Numerical simulations of chaotic systems)

Fund: 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).

Corresponding Authors: Ma Tie-Dong
E-mail: mtd1118@gmail.com

Cite this article:

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

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

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