Dissipativity Analysis and Synthesis for a Class of Nonlinear Stochastic Impulsive Systems

Guici Chen, Jianzhong Zhou and Yongchuan Zhang

Mathematical Problems in Engineering, 2013, vol. 2013, 1-8

Abstract:

The dissipativity analysis and control problems for a class of nonlinear stochastic impulsive systems (NSISs) are studied. The systems are subject to the nonlinear disturbance, stochastic disturbance, and impulsive effects, which often exist in a wide variety of industrial processes and the sources of instability. Our aim is to analyse the dissipativity and to design the state-feedback controller and impulsive controller based on the dissipativity such that the nonlinear stochastic impulsive systems are stochastic stable and strictly -dissipative. The sufficient conditions are obtained in terms of linear matrix inequality (LMI), and a numerical example with simulation is given to show the correctness of the derived results and the effectiveness of the proposed method.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:202969

DOI: 10.1155/2013/202969

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