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An Approach to H ∞ Control of a Class of Nonlinear Stochastic Systems

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Abstract

This paper studies the problems of the stochastic stabilization and H ∞ control of a class of nonlinear stochastic systems that can be represented by a stochastic heterogeneous model. Based on this model, the problem of stabilization with state feedback controller is first considered, and a new H ∞ controller design method is then developed. Synthesis of both stabilization and H ∞ controller is based on the solutions of linear matrix inequalities (LMIs). Finally, an example is given to illustrate the effectiveness of the approach proposed in this paper.

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Authors and Affiliations

  1. Center for Nonlinear and Complex Systems, School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, 610054, P.R. China

    Hongbin Zhang

  2. Manufacturing Engineering & Engineering Management, City University of Hong Kong, Kowloon, Hong Kong

    Gang Feng & Chuangyin Dang

Authors
  1. Hongbin Zhang
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  2. Gang Feng
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  3. Chuangyin Dang
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Correspondence to Hongbin Zhang.

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Zhang, H., Feng, G. & Dang, C. An Approach to H ∞ Control of a Class of Nonlinear Stochastic Systems. Circuits Syst Signal Process 31, 127–141 (2012). https://doi.org/10.1007/s00034-011-9281-1

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  • DOI: https://doi.org/10.1007/s00034-011-9281-1

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