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Universal Fuzzy Controllers for Non-affine Nonlinear Systems pp 45–70Cite as

Universal Fuzzy Models and Universal Fuzzy Controllers for Stochastic Non-affine Nonlinear Systems

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Abstract

This chapter discusses the problem of universal fuzzy models and universal fuzzy controllers for stochastic non-affine nonlinear systems. The underlying mechanism of stochastic fuzzy logic is first discussed and a stochastic generalized fuzzy model with new stochastic fuzzy rule base is then given. Based on their function approximation capability, this kind of stochastic generalized fuzzy models are shown to be universal fuzzy models for stochastic non-affine nonlinear systems under some sufficient conditions. An approach to stabilization controller design for stochastic non-affine nonlinear systems is then developed through their stochastic generalized T–S fuzzy approximation models. Then the results of universal fuzzy con- trollers for two classes of stochastic nonlinear systems, along with constructive procedures to obtain the universal fuzzy controllers, are also provided, respectively. Finally, a numerical example is presented to illustrate the effectiveness of the proposed approach.

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Authors and Affiliations

  1. City University of Hong Kong, Hong Kong, China

    Qing Gao

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  1. Qing Gao
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Correspondence to Qing Gao .

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Gao, Q. (2017). Universal Fuzzy Models and Universal Fuzzy Controllers for Stochastic Non-affine Nonlinear Systems. In: Universal Fuzzy Controllers for Non-affine Nonlinear Systems. Springer Theses. Springer, Singapore. https://doi.org/10.1007/978-981-10-1974-6_3

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  • DOI: https://doi.org/10.1007/978-981-10-1974-6_3

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-1973-9

  • Online ISBN: 978-981-10-1974-6

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