Output regulation of polynomial fuzzy model-based control systems

Hak-Keung Lam

doi:10.1007/978-3-319-34094-4_6

Output regulation of polynomial fuzzy model-based control systems

Hak-Keung Lam^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

4 Citations (Scopus)

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.

Original language	English
Title of host publication	Studies in Systems, Decision and Control
Publisher	Springer International Publishing Switzerland
Pages	137-173
Number of pages	37
Volume	64
DOIs	https://doi.org/10.1007/978-3-319-34094-4_6
Publication status	Published - 2016

Publication series

Name	Studies in Systems, Decision and Control
Volume	64
ISSN (Print)	21984182
ISSN (Electronic)	21984190

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10.1007/978-3-319-34094-4_6

Cite this

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Output regulation of polynomial fuzzy model-based control systems

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