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Polynomial Fuzzy Model-Based Control Systems pp 137–173Cite as

Output Regulation of Polynomial Fuzzy Model-Based Control Systems

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Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 64))

Abstract

This chapter considers a regulation problem for polynomial fuzzy model-based control systems. An output-feedback polynomial fuzzy controller is employed to drive the system outputs to reach a desired level. SOS-based stability conditions for the three cases (perfectly, partially and imperfectly matched premises) are obtained, which is facilitated by considering different information of membership functions, to determine the system stability and synthesize the controller. With the support of Barbalat’s lemma, it is guaranteed that a stable output-feedback polynomial fuzzy controller will produce no steady state error. A simulation example is given to verify the analysis results and show that the output-feedback polynomial fuzzy controller of the three cases are able to handle well the regulation control problem.

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Authors and Affiliations

  1. Department of Informatics, King’s College London, London, UK

    Hak-Keung Lam

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Correspondence to Hak-Keung Lam .

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Lam, HK. (2016). Output Regulation of Polynomial Fuzzy Model-Based Control Systems. In: Polynomial Fuzzy Model-Based Control Systems. Studies in Systems, Decision and Control, vol 64. Springer, Cham. https://doi.org/10.1007/978-3-319-34094-4_6

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  • DOI: https://doi.org/10.1007/978-3-319-34094-4_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-34092-0

  • Online ISBN: 978-3-319-34094-4

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